Demagnetization field (A/m) x 105 Tpeak=0 qC, c = 0 nm 2.5 Tpeak=400 qC, c = 0 nm Tpeak=400 qC, c = 300 nm 2 1.5 1 0.5 0 -0.5 -1 -1.5 -2 -2.5 -500 -400 -300 -200 -100 0 100 200 300 400 500 Along-track position (nm)¥»Ê· 8.14 §¥²¯¯º¢£» ¶ Tpeak ç²´¥¥³ é c Ê£· · ¯m ´m Hd Å¥² HAMR Ãé³Ë x ¨Hd 2 d tan1 z x0 ®¬ dM T dT z tan1 2 x z ®¬dz Q2 d a dT dz E ¨ 2 d Mr z a tan1 2 x z ®¬dz (8.43) Q2 z x0 2 d a 2 E ¥»Ê· 8.14 짥²¯¯º¢£» ¶ Tpeak ç²´¥¥³ é c Ê·£·m¯¬´£§§n´¬¢´ ãÂm §É Hd ¯¥² HAMR Ãé³Ë Ĥ¯´ª³¤¬£´¥ (8.43) ç²Ån ´¥´£¶Â¯¥qm´È£¯¹ ³ ÊÅ· nÅ¥»Ê· 8.8 ´¥» ©m´Â¬n² (Tpeak = 0 qC ç² c = 0 nm) ì¬Ê¹¯³¸Ê·£·¯º¢»£¶ 0 qC 粺ª»¤q§´¯Ä ¥Æ¡§q¯º¢»£¶¯¤»mÅé·¤©³³Ï´Ãm x0 ʸť··Ë Hd ²£·§³«²ÂÉö¬££´¥¥¯Ï´Ãm x0 ç²£·m´Âm´³ª»¤qÊ·Ï´Ãmx0 ´³Ë´n Ån§¯¥qÊ·£· Tpeak = 400 qC  ʹ¯Ån©´£¥¯n ³ ¬Ê¹¯³¸ (¬n· ¤´©Ê·£· Tpeak= 400 qC ç² c = 0 nm) ɲϴÅn¬¢´ ©´£ÂÉãm§ɧ§ ʸ¬m§Ånm´ Hd §§´£Æ©n ¤ ç²Âʹ¯´ºª»¤q§´¯Ä ¥Æ¡§q¯º¢»£¶¯¤»mÅé·¤©³³Ï´Ãm x0 ¸Ï´Ån´¥§§¯m´ Hd ÂÉ죣´¥Âm¶£ ¬ºn´¤Â¬n¸ (Tpeak = 400 qC ç² c = 300nm) ìm´ Hd £ʹ¯ºª»¤q§´¯Ä ¥Æ¡§q¯º¢»£¶»Â§Ê¹¯Æ´n´©´¯Ï´Ãm x0ÂÉ¥²¤²´ 300 nm ʸ ©m´´¥§§¯m´ Hd ²Æ£m¬££´¥¥¯Ï´Ãm x0 ç²Âʹ¯´¬Ê¹¯³¸´n´©´¯Ï´Ãm x0 £·©´£¥n¯£´©m´´n´n´¤ ¸Ï´Ån¬¢´ ©´£ÂÉ288 การประมวลผลสัญญาณสำหรับการจดั เก็บขอมูลดจิ ทิ ลั Signal Processing for Digital Data Storage
ãm§Éç² Hd ´n´©´¯Ï´Ãm x0 £·m´n¯¤©m´´n´n´¤ ( ¶´¥´´m´¬³£»¥q¯ Hd) ¯´·Ë¤³ ©´m Hd z 0 Ï´Ãm x0 粺³m´ª»¤q²Â§Ê¹¯Æ´Ï´Ãm x0´n´©´Â§Én¯¤ ¬Ï´¥³¥² HAMR Ãé³Ë Ê·£·º¥³©´£¥n¯´Åm qÃ¥¯¬£´¥(8.43) ²£·´m n¯¤£´Â£Ê¯¹ ·¤³ qÊ·¬¯ (§²¶Ë Æn) ³³ËÅ¥··Ë¬£´¥ (8.43) ¬´£´¥§¥» ÆÂn É [139]H x x 2M r T x tan1 ax Ex/02 ®¬ (8.44) d Q¯´·Ën´Æ£ m ¶ ´¥´Â¥Â·¤Âq ¶ ©´£¥¯n ¯¬¢´ ãÂm §É ´n (remanent magneti-zation) É ²Æn©´m ¥¤· ¬q ´£§§´n ¬¢´ ãÂm §É Ï´Ãm x ÅÈ Åé´£Ã¥É £·´m´m ³dHd x x 2M r T x £¦¦¦¦¦¦¥¤ a a E / 2 »²¦¦¼¦¦¦¦ (8.45) / 22 x dx Q E x 0 2ç² ´Ï Ãm x = x0 ²£·´m Âm´³ dHd x x 2M r T x 0 (8.46) เทคโนโลยี HAMR dx x0 Q a E / 2¥»Ê· 8.15 짥²¯¯º¢»£¶ Tpeak ç²´¥¥³Ã© c Ê·£·m¯Â¥Â·¤q¬´£§§n´ 8¬¢´ ãÂm §É ÊÆ· n´¬£´¥ (8.45) ĤÅn ´¥´£¶Â¯¥q m´È £¹¯³Ê·ÅnÅ¥»Ê· 8.9 ´¥» ©m´Â£Ê¹¯¬Ê¹¯³¸»Ï´Ån¥n¯ ¥·¤q¬´£§§n´¬¢´ ãmÂ§É Ï´Ãm x0 ²£·m´ บทท่ี§§ Å´Ï ¯Â·¤©³Ï´Ãmºª»¤q§´´¥Â§Ê·¤¬´² x0 ¤³¬´£´¥´Æn´´¥Ãn¬£´¥ (8.32) Ĥ¬Ï´¥³¥² HAMR Ê£· · º ¥³©´£¥n¯´Åm ʸ£·§Ån¥·¤q¶©´£¥¯n £·´Â§É ɲϴÅn§¥²Ê·Â¶´¬´£§§n´¬¢´ ãm夃 Hd £·m´n¯¤£´ (§²¶Ë Æ)n ´£Ê÷ ¬Å¥»Ê· 8.16 ʸ짥²¯¬´£§§n´¬¢´ ãm§ɴ¬£´¥ (8.43) Ê·£·m¯´¥´m´ x0 ĤÅn ´¥´£¶Â¯¥qm´È £¹¯³Ê·ÅnÅ¥»Ê· 8.11 ʸ² ©m´Ï´Ãm x0 Ê·´Æn ´¬£´¥ (8.32) £ʯ¹ ¥©£Ã§²Æ£m¥©£§¥²¯ Hd ²Ãm´³n¯¤£´ Ï´Ãm x0 (Æ£mÊ· ´Ä£¥) ¸ ãn©´m ¥² HAMR ²´Ï ´Ê·¯º¢£» ¶¬» ³³Ë ʹ¯Ån 289เลม 3 : การออกแบบวงจรภาครบั ข้นั สูง Volume III : Advanced Receiver Design
Demagnetization gradient (A/m2) 4000 Tpeak=0 qC, c = 0 nm 3500 Tpeak=400 qC, c = 0 nm 3000 Tpeak=400 qC, c= 300 nm 2500 2000 1500 1000 500 0 300 -300 -200 -100 0 100 200 Along-track position (nm)¥» Ê· 8.15 §¥²¯¯º¢£» ¶ Tpeak ç²´¥¥³Ã© c Ê·£· ¯m dHd /dx Å¥² HAMR Ãé³ËTransition location (nm) -220 Offset 300 with gap (c = 300) -240 -260 Aligned with gap (c = 0) -280 -300 Without demagnetization field -320 With demagnetization field -340 50 100 150 200 250 300 350 400 -360 -380 Peak temperature (qC) -400 -420 0¥» Ê· 8.16 §¥²¯¬´£§§n´¬¢´ ãmÂ§É Ê£· · m¯´¥´´Ï Ãm x0 Å¥² HAMR Ãé³Ëm´¤m¯´¥©¶Â¥´²q¥² HAMR Ãé³Ë ɬ´£´¥Ån¬£´¥ (8.33) Å´¥´m´ x0 ĤÅn¬´£Ã£m§ɯ³©Â·¤ Hh Ŭ£´¥ (8.39) ç²m´¬¢´ §§n´Ã£m夃 Hc ¯¬Ê¹¯³¸Ê·´Ï £´Ån ´³ËÏ´´£³Ë ¯m´È ´£Ê·¯¶´¤Å³©n¯Ê· 8.4 ɲ¬´£´¥´m´ ´¥´£¶Â¯¥q´¥Â§Ê¤· ¬´² a ¬Ï´¥³¥² HAMR Ãé³Ë Æn¯¹ [139]290 การประมวลผลสัญญาณสำหรบั การจัดเก็บขอมูลดิจิทลั Signal Processing for Digital Data Storage
H2 4Hc H 1 1S E (8.47) 2 2 %Q a x0£ʯ¹ % dHh dHc dT H 0g dHc dTdx g 22 (8.48) dT dx x0 Q x 2 / dT dx x0 0 H 2Mr E 2Hc 1S (8.49) %Q 2 %Q£´¤Âº Ĥ¬¥ºÃ§n©¬£´¥©´£³¯©¶§Â§·¤£-¯£¬É¯Â¶©´£¥n¯Å¬£´¥ (8.15)²Ãm´´¬£´¥©´£³¯ÃÏ´§¯©¶§Â§·¤£-¯£¬É¯¶Å¬£´¥ (8.8) ¥Ê·©m´£· qÊ·ÂÊ·¤©n¯³§¥²Ê·Â¶´©´£¥n¯Â ʶ£Ân´£´ ʸn´Æ£m ¶´¥´§¥²Ê·Â¶´©´£¥n¯·Ë (³Ê¹¯ dT /dx = 0) çn© ɲϴÅnm´¬¢´ ©´£ÂÉãm§É粬¢´ §§n´Ã£m§ÉÊ·¸Ë³¯º¢»£¶£·m´Âɪ»¤qÂm³ (³Ê¹¯ dM /dT = dHc /dT = 0) ç²Â£Ê¹¯Ãm´Â§m´·ËÂn´ÆŬ£´¥©´£³¯©¶§Â§·¤£-¯£¬É¯Â¶©´£¥n¯ ɲÆn§§³ qÂɬ£´¥©´£³¯Ã´Ï §¯©¶§Â§·¤£-¯£¬¯É ¶Å¬£´¥ (8.8) £¹¯Â¶£8.6 ÃÏ´§¯Æ£Ä¥Ã¥É เทคโนโลยี HAMRÃÏ´§¯©§¶ §¤· £-¯£¬¯É ¶ ©´£¥n¯Å¬£´¥ (8.15) ¹¯©m´ÂÉÃÏ´§¯Ê¸£¶¶  ¥´² 8Æ£m ¶´¥´§¥²Ê·Â¶´´¥Ã¥³Åé©´Ã¥É (cross-track variation) ¯´¥Â§Ê·¤¬´² ¸Ã£n©m´ÃÏ´§¯·Ë²¤³Ån´Æn·Å´¥´§³«²Â ´²¯´¥Â§Ê·¤ บทที่¬´²Å¥²´¥³¸Â¶Ã£m§ÉÃÊ·Ån³ ³©Ê Æ (£ʯ¹ Ä §³©Â·¤£· ©´£©n´m¯´n £´)ÃmÆ£¬m ´£´¥Ï´£´Ån³ ¥² HAMR Æn Ĥ ´²Â£Ê¯¹ ¬Ê¯¹ ³¸»Ï´Ån¥¯n n©¤Â§Â¯¥q Å´¶³¶¥²©´¥Ån©´£¥n¯Ã§²¬¢´ ©´£ÂÉãm§ɯ¬Ê¹¯³¸²£·§³«²ÂÉ쯣¶¶  ¥´²Ä ¥Æ¡§q¯º¢»£¶£·´¥¥²´¤Ã´¬q·¤´£¬£´¥ (8.2)ʸ £· §Ån ´¥Â§Ê¤· ¬´²£· ´¥Ã¥³ ³Ë Å鴣åÉç²Åé©´Ã¥É ³³Ë´¥³ ´¥³´·ËÏ´ÆnĤ´¥Ån “ÃÏ´§¯Æ£Ä¥Ã¥É (microtrack model)” [142, 143]  ʹ¯´m´¥²£´¯©´£Än¯´¥Â§Ê·¤¬´² (transition curvature) Ĥ²ÃmÃ¥Én¯£»§Ê¸Ã¥É¯¯ÂÉ N åɤ¯m ¤ (sub-track) Ê·£·©´£©n´ 'z Âm´³ ´£Ê·Ã¬Å¥»Ê· 8.17n´´Ï Ån T(x, z) ¹¯Ä ¥Æ¡§¯q º¢»£¶Ê·Â¶ ´´¥Ån ©´£¥n¯³¬Ê¯¹ ³¸ £ʹ¯ x ¯¹ ª¶ ´ 291เลม 3 : การออกแบบวงจรภาครับข้นั สูง Volume III : Advanced Receiver Design
h a,t %z x0,i ai ¥»Ê· 8.17 Ã´Ï §¯Æ£Ä¥Ã¥É ¯¯m ¬³´Ã HAMRÅé´£Ã¥É ç² z ¹¯¶ª´Åé©´Ã¥É ³³ËÄ ¥Æ¡§q¯º¢»£¶ÅÃm§²Ã¥É¤m¯¤²»¥²£´©m´ÂÉ¡³q³Ê¸£¶¶ T x,z i%z ¬Ï´¥³ –N /2 d i d N /2 (åɤm¯¤¤Ê¶£·Ï´©£´ É ²Ï´Ån ´¥¥²£´·Ë»n¯£´¤Ê¶ ¸Ë) ´³ËÅÉ nÃ´Ï §¯©¶§Â§·¤£-¯£¬É¯Â¶©´£¥n¯Ân´ÆÅÃm§²Ã¥É¤m¯¤¯¤m´¯¶¬¥²  ʹ¯´m´ºª»¤q§´´¥Â§Ê·¤¬´²Ã§² ´¥´£¶Â¯¥q´¥Â§Ê¤· ¬´²¯Ãm§²Ã¥É ¤m¯¤ ¯´·Ën´Ån§¯¬¯¯³©¯m´¯Ãm§²Ã¥É¤m¯¤£·m´Âm´³ h ai ,t Ui ʸ˸¯¤m»³ ´¥´£¶Â¯¥q´¥Â§Ê·¤¬´² ai ç²´Ï Ãm¬³£ ³q¯ºª»¤q§´´¥Â§Ê·¤¬´² v t U ¯Ãm§²Ã¥É¤m¯¤ £ʹ¯ x 0,i Uiv ¹¯ºª»¤q§´´¥Â§Ê·¤¬´²¯ iåɤm¯¤Ê· i ç² v ¹¯©´£Â¥É©Å´¥Â§Ê¹¯Ê·¯¬Ê¹¯³¸  ¥´²²³Ë§¯¬¯¥©£¯¬³ ´ ³§¬q Ê·Æn´³©¯´m p t £· m´Â´m ³ [142] p t 1 N h ai ,t Ui (8.50) N i 1ĤÅÊ··Ë²¬££º¶©m´ h a,t £·m´Âm´³´¥¥²£´m´¯³³Ê·Ê¸ (first-order approxima-tion) ¯§¯¬¯¯³©¯m´Ã GMR (giant magneto-resistive) ·Ê£·m¯´¥Â§·Ê¤¬´²Ã¯´¥q ÃÂ5q 9 ³Ê¹¯ [43, 143] 59 ¬¯§¯n ³ ¬££º¶´¯´¥Â§Ê·¤¬´²¯¬¢´ ©´£ÂÉãm§ÉÊ·¶¤´£Å¬£´¥ (8.17)292 การประมวลผลสัญญาณสำหรบั การจัดเก็บขอมูลดจิ ทิ ลั Signal Processing for Digital Data Storage
h a , t CM E tan1 vt gr / 2¬® tan1 vt gr / 2¬®¬® (8.51) a r d a dĤʷ gr ç² d ¹¯¥²¤²´¥²©m´©¸© (shield-to-shield spacing) ç²¥²¤²´¥²©m´©¸¬Ê¹¯³¸ (shield-to-medium spacing) ¯³©¯m´ ´£§Ï´³, ç² C ¹¯m´³©60ÊÅ· n¯¶ ´¤º §³«²´´¤¢´ ¯³©¯m´Ã GMR [43] Ã´Ï §¯©¶§Â§·¤£-¯£¬É¯¹¯ÂÉÃÏ´§¯Ê¸£¶¶  ¥´²¯¤»m¬££º¶´Ê·©m´§¯¬¯¯©³ ¯m´ÂÉ糧 (uniform) Åé©´Ã¥É ¯¤m´Æ¥É ´£Å´¶³¶§¯¬¯¯³©¯m´²£·§³«²´¥¥²´¤Ã´¬q·¤ [142]  ¥´²²³Ë§¯¬¯¬£³ ³q ¯Ãm§²Ã¥É¤m¯¤²n¯»©m ÏË´³©n ¤¡³q ³ ©´£Æ©¯³©¯m´Åé©´Ã¥É(cross-track reader sensitivity function) ʸ»¥²£´Ån£·§³«²´¥¥²´¤Ã´¬q·¤Ê·£·m´ÂÊ·¤Â£´¥´ V = Vr 粩´£©n´¯Ãm§²Ã¥É¤¯m ¤¯¹ 'z ³³Ë§¯¬¯¥©£ p(t) Ŭ£´¥ (8.50) ²Â·¤Å£Æm nÂÉ p t CMrE ¡ ¡¡¢¡¡exp¦¦£¦¤¥¦¦¦¦ i%z N 1 %z 2 ¦²¦¦»¼¦¦¦¦¬® ¬® ¬®¬®°°¯±°°° N 2 N tan1 xi gr tan1 xi gr (8.52) i 1 2Tr2 ai 2 ai 2 d d£ʹ¯ xi v t U ¹¯¥²¤²´¬£³ ³q ¯ºª» ¤q §´´¥Â§Ê¤· ¬´² Ä¤Ê · qʯ· ¤Åm» ©Â§É i¹¯§¯¬¯¯Ãm§²Ã¥É¤m¯¤ ç²³©»Â§·Ë Ï´§³ exp(.) ɹ¯¡³q³´¥m©ÏË´³ เทคโนโลยี HAMRô¬Âq ·¤Ê¸£· ´m Âm´³ ʸ£ʯ¹ ³©¯m´¯¤m» ¥§´¯Ã¥É ç²£· ´m Ân´Å§nª»¤Âq £Ê¯¹ ©³ ¯´m Ân´Å§n¯¯Ã¥É8.7 §³ «²Â ´²¯¥² HAMR 8´¥¯¯Ã¥² HAMR Å£n ·¬£¥¥²¬» ¬º ²n¯ ¶´¥´´³³¤§´¤È n´ §m´©¹¯ บทที่¬£¥¥²¯¥²²¸Ë¯¤»m³º¬£³¶¯¬´¥Ã£m§ÉÊ·ÅnÏ´¬Ê¹¯³¸ (Âm ¬¢´ §§n´Ã£m夃 Hc 粬¢´ ãm§Én´ Mr), ´¥Ã¥³¯¯º¢»£¶, Ä ¥Æ¡§q¯º¢»£¶ (Âm60 Ĥ³©Ê Ƨ¯¬¯ h(a, t) Ŭ£´¥ (8.51) ²£§· ³ «²§´n ¤³§¯¬¯´¥Â§Ê·¤¬´²Â¯Âª (iso- lated transition pulse) ¯¥²´¥³¸Â¶Ã£m§ÉÃé¯Ã§²Ãé³Ë ʸ» ´Ï ©n ¤¬³ ´ ³§¬q Lorentzian 粡³q ³ n¯¶ §´ (error function) ´£§´Ï ³ [1, 139] ³³ËÅ¥··Ë´m C ¯´´Ï ÅÂn É ´m ³©Ê·Ån¥³Ã¯£ §¶ »¬»¬º¯ h(a, t) Ån£·m´Âm´³ ï£ §¶ »¬»¬º¯§¯¬¯´¥Â§Ê·¤¬´²Â¯Âª 293เลม 3 : การออกแบบวงจรภาครับขน้ั สูง Volume III : Advanced Receiver Design
´¥´Ê· 8.1 ´m ´¥´£Â¶ ¯¥q´m È ÊÅ· nÅ´¥©Â¶ ¥´²q¥² HAMR Ãé¯ ´¥´£Â¶ ¯¥q ´m ÊÅ· n ´¥´£¶Â¯¥q ´m Ê·ÅnHc [A/m] –2000T(x) + 16u105 Tpeak [qC] 400Mr [A/m] –1200T(x) + 12u105 Vt [nm] 70S ©´£©´n ¯Ã¥É [nm] 120 0.7 Ï´©Ã¥É ¤¯m ¤ N 17H0 [nm] 19u105 C 1g [nm] 5d [nm] 100 gr [nm] 1000G [nm] 19 Vr [nm] 2¯º¢»£¶¬»¬ºÃ§²m´ FWHM), ç²Ï´ÃmÊ·£·¯º¢»£¶¬»¬º ÂÉn ¯´·Ë´¥Â§¹¯´Ï Ãm¯Â§Â¯¥qÊ· ¥²¯Ân´³©³ ¤· ÂÉ É¬Ê¶¬Ï´³  ʯ¹ Å¥n ²£¬· £¥¥²¬» ¬º Å©³ ¯n ·Ë²Ã¬§³ «²Â ´²¯¥² HAMR ³Ë Ãé¯Ã§²Ãé³ËĤ¯´ª³¤ÃÏ´§¯©¶§Â§·¤£-¯£¬É¯Â¶©´£¥n¯Ã§²ÃÏ´§¯Æ£Ä¥Ã¥É Å´¥ª¸«´´m´º ª» ¤q §´´¥Â§Ê·¤¬´² x0 ç² ´¥´£Â¶ ¯¥q´¥Â§Ê¤· ¬´² a ʷ¶˸Ŭʹ¯³¸Ä¤²¬££º©¶ ´m §¯¥q ÊÅ· n¶³Ë ¯¤»m º ʸ§´Ã¥É ´£Ã©©´Ã¥É ¬£¯8.7.1 ¥² HAMR Ã鯴¥´Ê· 8.1 ì´m ´¥´£Â¶ ¯¥q´m È Ê·ÅnÅ´¥©¶Â¥´²q¥² HAMR Ãé¯ Ĥ³Ê©Æ¬³ ´¯m´§³ ²¸Ë ¯¤m» ³ m´¯º¢»£¬¶ » ¬ºÃ§²´Ï Ãm¯Â§Â¯¥q (¥¯¹ ´Ï Ãm¯¯º ¢£» ¶¬»¬º) £ʹ¯Â·¤³ºÊ¸§´m¯©m´ (gap center) ¯³©Â·¤ (»¥»·Ê 8.6) Å´¶³¶Â§Â¯¥q¬´£´¥»¶³Ë Æn³Ë Ŷª´´¥Â§Ê¹¯Ê·¯¬Ê¹¯³¸ (n´Ã –x) ´£¥»Ê· 8.4¥¯¹ Ū¶ ´¥´n £ (´n à +x) ʸ²£· §¥²m¯¬³´¯m´§³ m´³ ¥» Ê· 8.18 캪» ¤q §´´¥Â§Ê¤· ¬´² x0 ç² ´¥´£¶Â¯¥q´¥Â§Ê·¤¬´² aÊ· ¶¸ËÅÃm§²Ã¥É¤m¯¤ Ï´Ãmm´È ¯Â§Â¯¥qÆ´n´n´¤¯ºÊ¸§´m¯©m´(c = 0 nm) ʸ² ©m´´¥Â§Ê·¤¬´²Ê·Â¶Ë¸ÅÃm§²Ã¥É¤m¯¤£·Ï´ÃmÊ·m´³ (Æ£mÂÉ餷 ©³ ¸Ï´Ån»Â£¹¯Â¬nÄn) Âʹ¯´Ä ¥Æ¡§q¯º¢»£¶£·´¥¥²´¤Ã´¬q·¤³ËÅ鴣åÉç²Åé©´Ã¥É Ĥ£·¯º¢»£¶¬»¬º ºÊ¸§´Ã¥É ç²£·¯º¢»£¶ÏÊ´¬º ¯¯Ã¥É ç²Âʹ¯´¬¢´ §§n´Ã£m§ÉÃ¥³³¯º¢»£¶Ã¶¬n¸ Ï´ÅnÏ´Ãmʷ¶ ´¥Â§Ê·¤¬´²Ãm´³ÅÃm§²Ã¥É ¤m¯¤ ´Ï Ån¶ ÂÉ “©´£Än¯´¥Â§Ê¤· ¬´² (transition curvature)” Åé©´Ã¥É294 การประมวลผลสญั ญาณสำหรับการจัดเก็บขอมูลดิจิทัล Signal Processing for Digital Data Storage
-50Transition center (nm) -60 -70 0 nm -32 nmTransition parameter (nm) -80 x0 -40 -20 0 20 -64 nm -40 -96 nm -90 -20 0 20 -128 nm -60 Cross-track location (nm) 40 60 14 40 60 12 a 10 8 6 4 -60¥» Ê· 8.18 ºª»¤q§´´¥Â§Ê¤· ¬´² x0 ç² ´¥´£¶Â¯¥q´¥Â§Ê¤· ¬´² a Ê· ¶ ¸Ë ÅÃm§²Ã¥É¤m¯¤ Ï´Ãm´m È ¯Â§Â¯¥Æq ´n´´n ¤¯º ʸ §´m¯©´m ¯¥² HAMR Ãé¯ ´¥» Ê· 8.18 () ©m´Â£Ê¹¯Â§Â¯¥Âq §Ê¹¯Ê· ´m ¯¯Æ´º ʸ §´m¯©m´ (´m c เทคโนโลยี HAMR§§) É Ï´Ån ´Ï Ãm x0 ¥ʶ£Â§Ê¯¹ Ê·´m ¯¯Æ´º ʸ §´¯m ©´m ¥ʹ¯¤È ¥²³Ê £´¸¥¶Â©Ê£· ·Â¥Â¤· ¬q ¢´ §§´n ãm夃 ÂÉ© (¥» » Ê· 8.19) ʸ´n §ʯ¹ Ï´Ãm¯Â§Â¯¥q 8Ånm´¯¯Æ´ºÊ¸§´m¯©m´£´Ë¸¯· ɲ´Ï ÅnÏ´Ãm x0 §ʹ¯Ê·§³Ân´´ºÊ¸§´¯m ©´m ¯´·Ë¤³¬³  ©m´Â£Ê¹¯´Ï Ãm x0 §ʹ¯Ê· m´¯¯Æ´ºÊ¸ §´¯m ©m´ บทที่£´¸Ë É ²Ï´Ån´¥Â§Ê¤· ¬´²£·§³«²Än£´Ë¸ ´£Æn©¤ ³Ë ·ËÂÉ ¥´²©m´´Ï Ãm x0¯¤»mŧn³ºÊ£· ·¯º¢»£¶¬»¬º ʸÂÉ¥¶Â©Ê·´¥Ã¥³¯Â¥Â·¤q¶©´£¥n¯Åé©´Ã¥É £·´m ¬»¬º ©³ ¯¤m´Âm ´¥Â§Ê·¤¬´²Å¥»Ê· 8.18 £§· ³«²ÂɬnÄn £´¬ºÂ£Ê¹¯Â§Â¯¥q¯¤m» ´Ï Ãm c = –96 nm (Å¥··ËÏ´Ãm x0 | –90 nm ʸ ŧÂn ¤· ³ m´ c) ¯´·Ë¥»Ê· 8.18 (§m´) ¤³Ã¬Ä ¥Æ¡§q¯ ´¥´£¶Â¯¥q´¥Â§Ê·¤¬´² a ¯Ãm§²Ã¥É¤m¯¤Åé©´Ã¥É ʸ ©m´m´ a ²£·m´Â ʶ£¸Ë¥ʹ¯¤È £ʹ¯Â§Â¯¥q§ʹ¯Ê·m´¯¯Æ´ºÊ¸§´m¯©m´¸¥¶Â©Ê·£·¬´£Ã£m§ɯ³©Â·¤ Hh n¯¤ ³©¯¤m´Âmm´ a £·´¥Â ʶ£Ë¸¯¤m´¥©Â¥É©¬Ï´¥³ c = –96 nm  ¥´²¥²£·m´ Hd n¯¤Ã§²£·m´Â¥Â·¤q¬¢´ §§´n ãm§ɥ²£´ª» ¤q (»¥»Ê· 8.19) Ĥʷť··Ëm´ a ²£·´m ¬» ¬º Ê·º ʸ§´Ã¥Éç²£·m´n¯¤¬ºÊ·¯¯Ã¥É n´´Ï Ãm´¥Â§Ê·¤¬´² x0 ¶˸£ʹ¯Â¥Â·¤q¬´£Ã£m§ɯ©³ ·¤Ã§²Â¥Â·¤q¬¢´ §§´n ãÂm §É£· m´ÂÉ© ³³Ë´¥Â Ê£¶ ˸ ¯ 295เลม 3 : การออกแบบวงจรภาครับขนั้ สงู Volume III : Advanced Receiver Design
x 105 c=0 0 c = -32 c = -128 c = -96 c = -64 -5A/m -10 Coercivity Hc Head field Hh -15 100 150 -250 -200 -150 -100 -50 0 50 Along-track position (nm)¥» Ê· 8.19 ´m ¬¢´ §§n´Ã£m夃 Hc Ï´Ãmm´È ¯Â§Â¯¥Æq ´´n n´¤¯ºÊ¸ §´m¯©´m ¯¥² HAMR Ãé¯Â¥Â·¤q¬¢´ §§n´Ã£m§ɲ¬m§Ån ´¥´£¶Â¯¥q´¥Â§Ê·¤¬´² a £·m´Â ʶ£¸Ën©¤ ç²Âʹ¯´Â¥Â·¤¬q ¢´ §§´n ãm§ɣ·m´§§¸¯¯Ã¥É ¸Ï´Ånm´ a Ê·ºÊ¸§´Ã¥É£·´¥Â ʶ£¸Ë¯¤m´¥©Â¥É©£´©m´m´ a Ê·¯¯Ã¥É ¯´·Ë£ʹ¯ c = –128 nm ɲƩn m´Ä ¥Æ¡§q ¯´m a ¤³£§· ³«²Âm£¶ ³Ê¯¹ ´m a Ê·ºÊ¸§´Ã¥É £·m´£´©m´Ê·¯¯Ã¥É ¥» Ê· 8.19 ìm´¬´£Ã£m§ɯ³©Â·¤ Hh ç²m´¬¢´ §§n´Ã£m夃 Hc Ï´Ãmm´È ¯Â§Â¯¥qÆ´n´´n ¤¯º ʸ §´¯m ©m´ Ĥ² ©m´º³¯Â¬n¥´¡¥²©m´ Hc ç² Hh (³Ê¹¯Â£Ê¹¯ Hc = Hh ) ²Ãm´³ÅÃm§²Ï´Ãm¯Â§Â¯¥q Ĥʷ´Ï Ãm´¥Â§Ê·¤¬´² x0 ²Â¶¸Ë £ʹ¯ Hc = Hh ´n´Ã –x (´£§³«²´¥Â§Ê¹¯Ê·¯³©Â¤· 粬ʯ¹ ³¸ Å¥» Ê· 8.4) ´¥»² ©´m º ³¯Â¬n¥´¡ Hc ç² Hh ¬¯§n¯³ Ï´Ãmº ª»¤q§´´¥Â§Ê·¤¬´² x0 Å¥» Ê· 8.18 () Ê· ¶Ë¸ ºÊ¸§´Ã¥É ÅÏ´¯Â·¤©³¥»Ê· 8.20 캪»¤q§´´¥Â§Ê·¤¬´² x0 ç² ´¥´£¶Â¯¥q´¥Â§Ê·¤¬´² a Ê· ¶ ˸Åçm ²Ã¥É ¤¯m ¤ ´Ï Ãmm´È ¯Â§Â¯¥qÆ´n´©´¯ºÊ¸§´m¯©m´ (c = 0 nm) ʸ² ©m´Ï´Ãm x0 ¶¸Ë ¥¶Â©Ê·Â¥Â·¤q¬¢´ §§´n ãm§ÉÂɧ³Ë £ ç²Â£Ê¹¯Â§Â¯¥q§ʹ¯Ê·m´¯¯Æ´ºÊ¸§´m¯©m´ ɲϴÅn´Ï Ãm x0 ¯¤m» ´m ´ºÊ·£·¯º¢»£¶¬»¬º£´¸Ë (Ï´Ãm x0 §ʹ¯Ê·Ân´£´Å§nºÊ¸§´¯m ©m´£´Ë¸) ¯´·Ë¤³ ©´m ´Ï ÃmÊ·¯¤»m ´m Ƨ¯¯Æ´ºÊ¸§´m¯©´m (Âm c =296 การประมวลผลสัญญาณสำหรบั การจัดเกบ็ ขอ มูลดิจทิ ลั Signal Processing for Digital Data Storage
Transition center (nm) -40 0 nm 32 nm -45 -40 -20 0 20 64 nm 96 nmTransition parameter (nm)-50 -20 0 20 128 nm Cross-track location (nm) 40 60 -55 40 60 -60 x0 -65 -60 9 8 7 6a -40 5 -60¥» Ê· 8.20 ºª»¤q§´´¥Â§Ê·¤¬´² x0 ç² ´¥´£Â¶ ¯¥q ´¥Â§Ê¤· ¬´² a Ê· ¶ ¸Ë ÅÃm§²Ã¥É¤m¯¤ Ï´Ãmm´È ¯Â§Â¯¥qÆ´n´©´¯º ʸ§´m¯©´m ¯¥² HAMR Ãé¯128 nm) ´¥Â§Ê¤· ¬´²Ê· ¶Ë¸ ²Æ£mm¯¤£·§³«²ÂɬnÄn (Ä ¥Æ¡§q ¯m´ a Æ££m ·´¥ เทคโนโลยี HAMR§ʷ¤Ã§) ¯¤´m ƥɴ£Âʹ¯´´Ï Ãm x0 »§³³Ån¯¤mÅ» ¥Â¶ ©Ê£· ·¯º ¢£» ¶ÏÊ´ (£ʹ¯ c£·m´£´¸Ë ) ¸ Ï´Ån ´¥´£Â¶ ¯¥q´¥Â§Ê·¤¬´²ÊÆ· n£·m´Â ʶ£Ë¸ ´£¥»Ê· 8.20 (§m´) 8 ¥»Ê· 8.21 ìm´¬´£Ã£m§ɯ³©Â·¤ Hh ç²m´¬¢´ §§n´Ã£m夃 Hc บทที่Ï´Ãmm´È ¯Â§Â¯¥qÆ´n´©´¯ºÊ¸§´m¯©m´ ĤϴÃm´¥Â§Ê·¤¬´²x0 ²Â¶¸Ë£ʹ¯ Hc = Hh ³Ê¹¯¥¶Â©º³¯Â¬n¥´¡ Hc ç² Hh ´n´Ã –x (¥¹¯¥¶Â©Ê·Â¥Â·¤q¬¢´ §§n´Ã£m§ÉÂɧ) ´¥»² ©m´º³¯Â¬n¥´¡ Hc ç² Hh²¬¯§n¯³ Ï´Ãmºª» ¤q§´´¥Â§Ê·¤¬´² x0 Å¥»Ê· 8.20 (§m´) ʷ¶˸ ºÊ¸§´Ã¥É ¯´·Ë ´¥´£¶Â¯¥q ʬ· ´Ï ³ ¯·Ê¸³©ÊÅ· n¯¸ ©´£º ¯n £»§¯¥² HAMR ɯ¹m´ PW50 ¥¹¯©´£©n´¯§¯¬¯´¥Â§Ê·¤¬´²Â¯Âª (isolated transition res-ponse) ÊÆ· n ´©³ ¯m´Â£Ê¹¯©³ ºÊ·£·Ã¯£ §¶»Âɥʸʸ¯Ã¯£ §¶»¬»¬º Ĥm´ PW50¤Ê¶n¯¤ É£´¤©´£©m´©´£ºn¯£»§²¤Ê¶£´ ³³Ë¸Âɬʶ¬Ï´³Ê·n¯ª¸«´§¥²¯Ä ¥Æ¡§q¯º¢»£¶·Ê£·m¯m´ PW50 Å¥² HAMR n©¤ Å´¶³¶m´ PW50 ¯¬³´¯´m §³» ´Ï Ĥ©´£Än ¯´¥Â§Ê¤· ¬´² (´Ï Ãm x0) ç² ´¥´£Â¶ ¯¥q ´¥Â§Ê·¤¬´² a ʷ¶˸ÅÃm§²Ã¥É¤m¯¤  ¥´²²³Ë´¥Â§Ê·¤´Ï Ãm¯Â§Â¯¥q²£·§´Ï Ån 297เลม 3 : การออกแบบวงจรภาครับข้นั สงู Volume III : Advanced Receiver Design
Normalized amplitude A/m x 105 0 c = 64 -5 c = 32 c=0 -10 c = 128 c = 96 Coercivity Hc Head field Hh -15 -100 -50 0 50 100 150 -150 Along-track position (nm)¥» Ê· 8.21 m´¬¢´ §§n´Ã£m夃 Hc ´Ï Ãmm´È ¯Â§Â¯¥qÆ´´n ©´¯º ʸ§´m¯©´m 1 c = 0 nm PW50 = 49.8 nm (c = 0) 0.9 c = -96 nm PW50 = 65.6 nm (c = -96) 0.8 c = 96 nm PW50 = 53.3 nm (c = 96) 0.7 0.6 PW50 0.5 0.4 gap center 0.3 location (0 nm) 0.2 0.1 -200 -150 -100 -50 0 50 100 150 0 -250 Along-track position (nm)¥» Ê· 8.22 §¯¬¯´¥Â§Ê·¤¬´²Â¯ÂªÊÆ· n´©³ ¯´m ´Ï Ãm´m È ¯Â§Â¯¥q¬¢´ §§n´Ã£m§ɯ¬Ê¹¯³¸Ã§²Æ ¥Æ¡§q¯º¢»£¶Â§Ê·¤Ã§ ʸ¬m§Ånm´ x0 ç² aʷ¶˸ (¥©£¸m´ PW50) §ʷ¤Ã§´£Æn©¤ Ĥ³Ê©Æ PW50 ²£·m´£´Â£Ê¹¯ a £·m´£´Ã§²´¥Â§Ê·¤¬´²£·©´£Änn¯¤ ¥»Ê· 8.22 짯¬¯´¥Â§Ê·¤¬´²Â¯ÂªÊÆ· n´©³ ¯´m ´Ï Ãm´m È ¯Â§Â¯¥q ĤŬn £´¥ (8.52) ĤÅÊ· ·Ë xi ¯¹ Ï´ÃmÅé´£Ã¥É (m´Ã x Å¥»Ê· 8.22) ´¥» ©m´m´ PW50 Ê·©³ÆnÅÃm§²Ï´Ãm¯Â§Â¯¥q ²£· m´Ãm´³298 การประมวลผลสัญญาณสำหรับการจัดเกบ็ ขอ มูลดจิ ิทลั Signal Processing for Digital Data Storage
6664 Tpeak = 300 qC62 Tpeak = 350 qC Tpeak = 400 qC60PW50 (nm)58 เทคโนโลยี HAMR5654525048 -150 -100 -50 0 50 100 150 Tpeak alignment, c (nm)¥»Ê· 8.23 m´ PW50 ÅÃm§²´Ï Ãm¯Â§Â¯¥¬q Ï´¥³ Tpeak ´m È ¯¥² HAMR Ãé¯ ¥»Ê· 8.23 ìm´ PW50 Ê·ÆnÅÃm§²Ï´Ãm¯Â§Â¯¥q¬Ï´¥³ Tpeak m´È ʸ² 8 ©m´ PW50 ²£· ´m n¯¤Â£Ê¯¹ Ï´Ãm¯Â§Â¯¥q¯¤Åm» §n³ ºÊ¸§´m¯©m´ (ÅÊ· ·Ë PW50 Ê·£·m´n¯¤¬º ²¯¤»m ´n´©´¯ºÊ¸§´m¯©m´Â§Én¯¤) ç²n´Â§Ê¹¯Ï´Ãm¯Â§Â¯¥qÅn บทท่ี´m ¯¯Æ´º ʸ §´¯m ©m´£´Ë¸³Ë ¬¯¶ª´ ɲϴÅn¬³´¯m´§³£·©´£©n´Â ʶ£Ë¸ ¯¤m´Æ¥É´£¸Ã£n©m´ PW50 »Â£¹¯²£·m´§§ Ï´Ãm¯Â§Â¯¥qÊ· c < –100nm Ãm¥´´¥q·Ë²Â¶¸Ë¬£¯¬Ï´¥³¥² HAMR ·ÊÅn¬Ê¹¯³¸Ê·£·m´ Hc ¬» [139]Å´¶³¶m´ PW50 ²Ã¥³¥´£m´ a ç²Ã¥³³©´£Än¯´¥Â§Ê·¤¬´²§m´©¹¯n´Ï´Ãm´¥Â§Ê·¤¬´²¯Ãm§²Ã¥É¤m¯¤Æ£mÂÉé·¤©³ (Ï´Ån¶ÂÉ©´£Än) ɲϴÅn§¯¬¯¥©£¯ºÃ¥É¤m¯¤£·©´£©n´£´©m´¥·Ê·Ï´Ãm´¥Â§Ê·¤¬´²¯Ãm§²Ã¥É¤m¯¤¯¤m»Åé·¤©³ (¥´´¥q·ËÂÉÆn³ÂÅ¥»Ê· 8.18)³ ³Ë´´¥§¯ ©´m ´¥Ån´Ï´Ãm¯Â§Â¯¥q²£·§m¯¬£¥¥²¯¥²m¯n´£´ Ĥn´ÆnÏ´Ãm¯Â§Â¯¥q£´²Ê·¬º (optimal position) çn©É² ©m´¥² HAMRÊ·Ån Tpeak ¬» ²´Ï ÅÆn n PW50 Ê£· · ´m n¯¤ ʸ¬m §Ån¥²£· ©´£º¯n £»§Â ʶ£Ë¸ ¯´·Ë¥» Ê· 8.24 ìm´ PW50 ¯¬³´¯m´§³ ¯º ¢»£¶ Tpeak ¥²³m´È £ʹ¯¥²Ån¬´£Ã£m§ɯ³©Â·¤Ê·¯¤»mÅm¯©m´ H0 ¬´£Ã Ĥ³Ê©Æ£ʹ¯ Tpeak£·´m ¬» ¸Ë (m´ Hc ¯¬Ê¯¹ ³ ¸ ²§§) É ²Ï´Ån PW50 £·m´n¯¤§ ´³Ë´m PW50 ÂÉ ¥Ê£¶Ê·²Ê· £Ê¯¹ Tpeak £·m´¬» ¥²³ ʸ (ÅÊ· ·Ë Tpeak > 400 qC) Ĥ¥´´¥q²ÂÉÆn³Â£Ê¹¯Ån³¬Ê¹¯³¸Ê·£·m´ Hc n¯¤ [139] ´¥»¤³ ©m´Â£Ê¹¯´Ï m´ Tpeak £´Ån ¥²Ê·Ån 299เลม 3 : การออกแบบวงจรภาครับขน้ั สูง Volume III : Advanced Receiver Design
PW50 (nm) 62 60 H0 = 17 u 105 A/m H0 = 19 u 105 A/m 58 H0 = 21 u 105 A/m 56 54 52 50 48 0 50 100 150 200 250 300 350 400 450 500 Peak temperature (qC) ¥» Ê· 8.24 ´m PW50 ¯¬³ ´¯´m §³ ¯º ¢»£¶ Tpeak ¥²³ ´m È ¯¥² HAMR Ãé¯ H0 ¬» È ²Ï´ÅÆn ¬n ³´¯m´§³Ê·£·m´ PW50 n¯¤ ç²ÅÏ´¯Â·¤©³Â£Ê¹¯Ï´m´ H0 £´Ån ɬ´£´¥´´m Tpeak Ê··¬ºÊ·Ï´Ån¬³´¯m´§³Ê·£· m´ PW50 n¯¤¬º Æn §¥²¯´¥¥³m´ ´¥´£Â¶ ¯¥q ´m È Å¬m©·Ë²Ã¬ÅnÂÉ©m´´¥¥³m´ ´¥´£¶Â¯¥qm´È ÆnÃm ¯º¢»£¶¬»¬º (Tpeak), ¬¢´ § §n´Ã£m夃 (Hc), m¯©m´¯³©Â·¤ ( g ), ¬´£Ã£m§ɯ³©Â·¤Ê·¯¤»mÅm¯©m´ (H0), ç²¥²¤²¶ (d) ²£·§¥²m¯Ï´Ãmºª»¤q§´´¥Â§Ê·¤¬´² x0 ç² ´¥´£¶Â¯¥q ´¥Â§Ê·¤¬´² a Ê·Æn´¥² HAMR Ãé¯Ê·Ån¯º¢»£¶¬»¬º Tpeak = 400 qC ç² c = 0 nm ¬m© ´¥´£¶Â¯¥q¯Ê¹È Ê·Ån²£·m´Ä¤¥¶¤´¤ (default value) ´£Ê·¥´Å ´¥´Ê· 8.1 ¥»Ê· 8.25 ì´m x0 ç² a Ê· ¶Ë¸ Åçm ²Ã¥É¤m¯¤ £ʯ¹ ¯º ¢£» ¶¬»¬º Tpeak Ê·Ån £·m´Âm´³ 320, 360, 400, 440 ç² 480 qC ʸìÂÉ –20%, –10%, 0%, 10% ç² 20% ´£§Ï´³ Ĥʷ 0% £´¤¸m´Ä¤¥¶¤´¤, A% £´¤¸ Tpeak Ê·Ån£·m´m´´m´Ä¤¥¶¤´¤ (³Ê¯¹ 400 qC) ÂÉ¥£¶ ´ A%, ç² x0 Ê£· · m´Âɧ£´¤¸´Ï Ãmʯ· ¤»m ´´n ´n ¤¯ º ʸ§´m¯©m´ ´¥»² ©m´Â£Ê¹¯ Tpeak £·m´Â ʶ£¸Ë ɲϴÅnÏ´Ãm x0 §ʹ¯Ê·m´¯¯ Æ´ºÊ¸§´m¯©m´£´Ë¸ ç²Ï´Ån a £·m´§§n©¤ ¯´·Ëm´Â§Ê·¤¯ x0 ç² a (§ʤ· ´Ã¥É¤m¯¤³Ë £) Ê·Æn¬Ï´¥³m´ Tpeak m´È ìŴ¥´Ê· 8.2 ÅÏ´¯Â·¤©³ n´¥³ ´m ´¥´£Â¶ ¯¥q Hc, g , H0 ç² d Å£n ·´m Ãm´´m´Ä¤¥¤¶ ´¤ÂÉ´Ï © r20% ç²300 การประมวลผลสัญญาณสำหรับการจัดเก็บขอมลู ดจิ ิทลั Signal Processing for Digital Data Storage
-55Transition center (nm) -60Transition parameter (nm) -65 -40 -20 0 20 40 60 -40 x0 320qC (-20%) 360qC (-20%) -70 400qC (0%) -60 440qC (+10%) 480qC (+20%) 6.2 -20 0 20 40 60 6a Cross-track location (nm) 5.8 5.6 5.4 5.2 -60¥» Ê· 8.25 ºª» ¤q §´´¥Â§Ê·¤¬´² x0 ç² ´¥´£Â¶ ¯¥q´¥Â§¤Ê· ¬´² a Ê· ¶ ¸Ë Åçm ²Ã¥É¤m¯¤ ¥²³¯º¢»£¶¬»¬ºm´È ¯¥² HAMR Ãé¯ [144]´¥´Ê· 8.2 ´m §ʤ· ¯º ª»¤q§´´¥Â§Ê¤· ¬´² x0 ç² ´¥´£Â¶ ¯¥q´¥Â§Ê¤· ¬´² a [144] ´¥´£¶Â¯¥q m´Â§Ê¤· ¯¥qÂÉq´¥Â§¤Ê· 篴m ´¥´£¶Â¯¥q –20% –10% 0% +10% +20%¯º¢£» ¬¶ » ¬º Tpeak x0 [nm] –58.46 –60.18 –61.92 –63.69 –65.49 เทคโนโลยี HAMR a [nm] 5.79 5.67 5.56 5.46 5.37¬¢´ §§´n ãÂm §É Hc x0 [nm] –54.57 8 a [nm] 5.69 –58.13 –61.92 –66.06 –70.65m¯©m´¯³©Â¤· g x0 [nm] –53.34 5.55 5.56 5.67 5.84 บทท่ี¬´£Ã£m§ɯ³©Â¤· a [nm] 5.52ʯ· ¤m»Åm¯©m´ H0 x0 [nm] –57.72 –57.67 –61.92 –66.13 –70.32¥²¤²¶ d a [nm] 5.59 5.54 5.56 5.59 5.62 x0 [nm] –60.96 a [nm] 5.10 –59.94 –61.92 –63.73 –65.40 5.55 5.56 5.59 5.64 –61.62 –61.92 –62.70 –63.14 5.41 5.56 5.98 6.25 301เลม 3 : การออกแบบวงจรภาครับขัน้ สูง Volume III : Advanced Receiver Design
´¥´Ê· 8.3 m´ ´¥´£¶Â¯¥q m´È ÊÅ· Ån ´¥©¶Â¥´²¥q ² HAMR Ãé³Ë ´¥´£¶Â¯¥q ´m ÊÅ· n ´¥´£Â¶ ¯¥q ´m ÊÅ· n –2000T(x) + 21u105 Tpeak [qC]Hc [A/m] –1200T(x) + 12u105 Vt [nm] 400Mr [A/m] ©´£©´n ¯Ã¥É [nm] 70S 0.7 ´Ï ©Ã¥É ¤m¯¤ N 160 19u105 C 15H0 [nm] 1g [nm] 80 gr [nm] 5y [nm] 16 Vr [nm] 1000G [nm] 17r10% ɲ¬m §´Ï Ån´m x0 ç² a £·´¥Â§Ê·¤Ã§´£Æn©¤ Ĥm´Â§Ê·¤¯ x0 ç² a Ê·Æn (£ʯ¹ ¥³ m´ ´¥´£¶Â¯¥Åq Ãm§²¥·) ìŴ¥´Ê· 8.2 §´¥§¯·Ë¯´ÅnÂÉé´Å´¥³ ¬¶ ŧ¹¯Ån ´m ´¥´£Â¶ ¯¥q ´m È Ê·Â£´²¬£Â ʯ¹ Ån¥²£·¬£¥¥²¬» ¬º 8.7.2 ¥² HAMR Ãé³Ë ų©n¯·Ë²Ã¬§³«²Â ´²¯´¥Â§Ê¤· ¬´²¯¥² HAMR Ãé³Ë Ĥm´ ´¥´£¶Â¯¥q´m È ÊÅ· nÅ´¥©Â¶ ¥´²¥q ²Ã¬Å´¥´Ê· 8.3 ¥»Ê· 8.26 ç² 8.26 캪»¤q§´´¥Â§Ê¤· ¬´² x0 ç² ´¥´£¶Â¯¥q´¥Â§Ê·¤ ¬´² a Ê· ¶¸Ë Åçm ²Ã¥É ¤¯m ¤ Ï´Ãmm´È ¯Â§Â¯¥qÆ´n´n´¤Ã§²n´©´ ¯ºÊ¸§´¯m ©´m ´£§´Ï ³ ʸ² ©m´´¥Â§Ê·¤Ã§¯m´ x0 ç² a ʷ¶˸£·§³«² §´n ¤³ ¥² HAMR Ãé¯ ¯¤m´Æ¥É ´£Â£Ê¯¹ §¯¥Âq §Ê¯¹ ´m ¯¯Æ´ºÊ¸§´ ¯m ©´m ´n´©´² ©m´m´ a £·´m §§ (ʸ ¥´n £³¥·¯¥² HAMR Ãé¯ ´£¥»Ê· 8.20) ³Ë ·ËÂÉ ¥´²©m´¬´£Ã£m§ɯ³©Â·¤ Hh Ê·¶¤´£Å¬£´¥ (8.39) ¯´² ÂÉ´¥¥²£´m´Ê·Æ£m· ¥¶Â©¯¯Ä § (pole edges) ³³Ë£ʹ¯£·´¥Â§Ê·¤¬´² ¶¸Ëŧn³¥¶Â©·Ë m´ Hh Ê·Ån´£¬£´¥ (8.39) £·§Ï´Ån¥·¤q¬´£Ã£m§ɯ ³©Â¤· £· ´m ¬»£´ ¸Ï´Ån ´¥´£Â¶ ¯¥q ´¥Â§Ê¤· ¬´²Ê·Æn£· m´§§ [133] ¥»Ê· 8.28 ìm´ PW50 Ê·ÆnÅÃm§²´Ï Ãm¯Â§Â¯¥q¬Ï´¥³ Tpeak m´È ¯ ¥² HAMR Ãé³Ë ʸ£§· ³«²§n´¤³m´ PW50 ¯¥² HAMR Ãé¯Å ¥» Ê· 8.23 §´m ©¯¹ PW50 ²£·m´n¯¤¬º £ʯ¹ Ï´Ãm¯Â§Â¯¥q¯¤m» ´´n ©´¯º ʸ§´ m¯©m´ Å´Ï ¯Â·¤©³n´¥²ÅnÏ´Ãm¯Â§Â¯¥qÊ··¬º ɲ ©m´¥²Ê·Ån Tpeak ¬» ²Ï´Ån¬³ ´¯´m §³ÊÆ· £n · ´m PW50 n¯¤ ʸ ¬m §Ån¥²£· ©´£º n¯£»§Â ʶ£Ë¸302 การประมวลผลสัญญาณสำหรับการจดั เก็บขอมลู ดิจิทัล Signal Processing for Digital Data Storage
-10Transition center (nm) -20 -30 0 nm -32 nm -40 -64 nm -96 nm -50 x0 -128 nm 60 80 -60 -60 -40 -20 0 20 40 -80 60 80 -40 -20 0 20 40Transition parameter (nm) 60 Cross-track location (nm) 50 a 40 30 20 -60 -80¥» Ê· 8.26 ºª»¤q §´´¥Â§Ê¤· ¬´² x0 ç² ´¥´£¶Â¯¥q´¥Â§¤Ê· ¬´² a ʷ¶ ¸Ë ÅÃm§²Ã¥É¤¯m ¤ ´Ï Ãmm´È ¯Â§Â¯¥Æq ´´n ´n ¤¯º ʸ §´m¯©´m ¯¥² HAMR Ãé³Ë -10Transition center (nm) -20 -30 0 nm 32 nm -40 x0 -40 -20 0 20 40 64 nm เทคโนโลยี HAMR -50 96 nm -60 -40 -20 0 20 40 128 nm -80 Cross-track location (nm) 60 80Transition parameter (nm) 23 60 80 22 a 21 20 8 19 บทท่ี 18 -80 -60¥» Ê· 8.27 ºª»¤q§´´¥Â§Ê·¤¬´² x0 ç² ´¥´£Â¶ ¯¥q ´¥Â§Ê¤· ¬´² a Ê· ¶ ¸Ë ÅÃm§²Ã¥É¤¯m ¤ Ï´Ãmm´È ¯Â§Â¯¥Æq ´´n ©´¯ºÊ¸ §´m¯©´m ¯¥² HAMR Ãé³Ë 303เลม 3 : การออกแบบวงจรภาครบั ขั้นสูง Volume III : Advanced Receiver Design
110 Tpeak = 300 qC 100 Tpeak = 350 qC Tpeak = 400 qC 90PW50 (nm) 80 70 60 50 -150 -100 -50 0 50 100 150 Tpeak alignment, c (nm)¥» Ê· 8.28 ´m PW50 Åçm ²´Ï Ãm¯Â§Â¯¥q¬Ï´¥³ Tpeak m´È ¯¥² HAMR Ãé³Ë8.7.3 ¯n ©¥¥²©³Å´¥ÅnÃÏ´§¯©§¶ §¤· £-¯£¬¯É ¶ ©´£¥n¯´¥ÅnÃÏ´§¯©¶§Â§·¤£-¯£¬É¯Â¶©´£¥n¯Å¬£´¥ (8.15)  ʹ¯´m´ ´¥´£¶Â¯¥q´¥Â§Ê·¤¬´² a 粬£´¥ (8.33)  ʹ¯´¥´ºª»¤q§´´¥Â§Ê·¤¬´² x0 ¯¥² HAMRÃé¯Ã§²Ãé³Ë £· ¯n ©¥¥²©³ ³·Ë ¬£´¥m´È Ê·Ån´m´ a ç² x0 Æn£´´¬££º¶´Ê·©m´ÃÏ´§¯¯³©Â·¤Ã§²¬Ê¯¹ ³¸ ¥©£³Ë ¶ª´´¥Â§Ê¯¹ ʷç²´¥Â§Ê·¤¬¢´ ©´£ÂÉãm§ÉŬʹ¯³¸ÂÉÆ´£¥» Ê· 8.4 ³Ê¯¹ ¬Ê¹¯³¸²Â§Ê¹¯Ê·Æ´n´n´¤¯³©Â·¤  ¥´²²³Ëm´ x0 Ê·´Æn²£·m´Âɧ ʸ £´¤©´£©m´Ï´Ãm x0 ¯¤m» ´´n ´n ¤¯º ʸ §´m¯©´m ¯³©Â·¤ ¬¢´ ©´£ÂÉãm§ɲ§ʷ¤´ +Mr ÂÉ –Mr ʸ£´¤©´£©m´´¥Â§Ê·¤¬´²² »Â¤· n´³ ¬¢´ §§n´Ã£m夃 ̤ (negative coercivity)³³ËÅ´¥Ån¬£´¥m´È  ʹ¯´m´ a ç² x0 ²n¯´Ï Ån¬¢´ ©´£ÂÉãm夃 Mr£· ´m Âɧ, ¬¢´ §§´n ãÂm §É Hc £·m´Âɧ, ç²Â¥Â·¤q¬¢´ §§n´Ã£m夃 dHc/dT£·m´ÂÉ© ¯´·Ën¯Ï´Ån¬´£Ã£m§ɯ³©Â·¤Ê·¯¤»mÅm¯©m´ H0 £·m´Âɧ¬Ï´¥³¥² HAMR Ãé¯ ç²Ån H0 £·m´ÂÉ©¬Ï´¥³¥² HAMR Ãé³Ë´³Ë£ʹ¯Ï´´m ´¥´£¶Â¯¥q ´m È Ã§©n ɬ´£´¥´§§ ³ q³Ë £´£Ê÷ ¬Å·ËÆn304 การประมวลผลสญั ญาณสำหรบั การจัดเกบ็ ขอ มลู ดิจิทัล Signal Processing for Digital Data Storage
8.8 ¬¥º n´¤ เทคโนโลยี HAMRÂÄħ¤· HAMR ¬´£´¥m©¤Â ʶ£©´£ºn¯£»§Æn£´©m´ 1 Tb/in2 粤³¬´£´¥Ï´£´Ån´¥¶Å°´¥q¬¶ qÆ¥¡qÆ¢n ´¤Å¥²¤²Â©§´¯³Å§n ÃÏ´§¯©¶§Â§·¤£-¯£¬É¯Â¶©´£¥n¯Å¬£´¥ (8.15) ç²ÃÏ´§¯Æ£Ä¥Ã¥ÉÆn»Ï´£´ÅnÅ´¥©¶Â¥´²q¥² HAMR  ʹ¯ª¸«´§³«²Â ´²¯´¥Â§Ê·¤¬´² (ºª»¤q§´´¥Â§·Ê¤¬´² x0 ç² ´¥´£¶Â¯¥q´¥Â§Ê·¤¬´² a) ¥©£³Ë m´ PW50 ¯¬³´¯m´§³Ê·Æn´³©¯m´ Ĥ³©Ê Æ PW50 ¤Ê¶£·m´n¯¤ ɲϴÅn¥²£·©´£ºn¯£»§£´ ³³Ë¥² HAMR Ê·£·m´ PW50 n¯¤¸Âɬʶʷn¯´¥ ¯¤m´Æ¥É´£m´ x0, a ç² PW50 ²¸Ë¯¤»m³³³¤§´¤È ¯¤m´ ÆnÃm Ï´Ãm¯Â§Â¯¥q,¯º¢»£¶¬»¬ºÊ·Ån, §³«²¯³©Â·¤Ã§²³©¯m´, 粺¬£³¶´Ã£m§ɯ¬Ê¹¯³¸ ÂÉn Å´¶³¶m´ PW50 ²Ã¥³¥´£m´ a ç²Ã¥³³©´£Än¯´¥Â§Ê¤· ¬´² ( ¶´¥´´´m x0 ¯Ã§m ²Ã¥É ¤¯m ¤)  ¥´²²³Ë´¥ª¸«´ ¦¶¥¥£´m È ¯¥² HAMR ¸Âɬʶ ¬Ï´³  ʹ¯ÅÂn Éé´Å´¥³¬¶Å§¹¯Ånm´ ´¥´£¶Â¯¥q´m È Ê·Â£´²¬£³¥² ʸ²¬m §´Ï Å¥n ²£¬· £¥¥²¬»¬º Å·ËÅn©´£¬´Ï ³³¥²©´¥Â·¤ (write process) ¯¥² HAMR ʸ£·§Ï´Ån¬³ ´¯m´§³ ÊÆ· n ´©³ ¯´m £§· ³ «²Ãm´´¬³´¯m´§³¯¥²´¥³¸Â¶Ã£m§ÉÃÊÅ· n³ ©³Ê Æ (Ãé¯Ã§²Ãé³Ë ) ¯¤m´Æ¥É´£¥²©´¥¯m´Ã§²´¥¯¥³¬n¯£»§Ê·ÅnÅ¥² HAMR ²¤³Â£¹¯³Ê·Ån¯¤m»Å¥²´¥³¸Â¶ ãÂm §ÉÃÊ·Ån³ ³©Ê Æ ³Ê¹¯¬´£´¥Å©n ¥¢´¥³Ã£¶ (¥¯¹ ©¥¥©´ PRML)ÊÅ· n¯¤»Åm °´¥q¬¶ qÆ¥¡q³º³ Æn8.9 ø ³´n ¤ 81. ¯¶ ´¤Ã©¶ 粧³ ´¥´Ï ´¯ÂÄħ¤· HAMR บทที่2. ¯¶´¤Ã§² ¶¬» qÃÏ´§¯©§¶ §¤· £-¯£¬¯É Ŭ£´¥ (8.8)3. ¯¶ ´¤Ã§² ¶¬»qÃÏ´§¯©¶§Â§¤· £-¯£¬¯É ¶ ©´£¥¯n Ŭ£´¥ (8.15)4. ¶¬» q¬£´¥ (8.29)5. ¶¬»q¬£´¥ (8.37)6. ¬¶ »q¬£´¥ (8.47) 305เลม 3 : การออกแบบวงจรภาครบั ข้นั สงูVolume III : Advanced Receiver Design
7. ¯¶ ´¤©´£¬Ï´³ ¯ÃÏ´§¯Æ£Ä¥Ã¥É 8. ÅÄn ¥Ã¥£ SCILAB ©´¥´¡Å¥»Ê· 8.19 ç² 8.21306 การประมวลผลสญั ญาณสำหรบั การจดั เก็บขอมูลดิจทิ ัล Signal Processing for Digital Data Storage
¢´© ¡³q³ §¯´¥¶ £¸ ´Ä¤· ¢´©·Ë² ¬¶ »q¡³q ³ §¯´¥¶ £¸ ´Ä¤· (Jacobian logarithm) Ŭ£´¥ (3.15) ³Ê¯¹ ln ea eb max a,b ln 1 eab (.1)£ʹ¯ a ç² b ¯¹ ´m ³©ÅÈ Ä¤´¥ ¬¶ »q²Ãm ¯¯ÂÉ 2 ¥· ³ ·Ë1) ¥·Ê· a > b ²Æn©´m ln ea ¦¥¤¦¦£¦1 eb ¦¦¼»¦²¦¬® ln \ ^ln ea eb ea ea 1 eba เทคโนโลฟยีง กHชัAนลMอRการิทึมจาโคเ ีบยน ln ea ln 1 e ab a ln 1 e ab (.2)2) ¥·Ê· b > a ²Æ©n ´m ก \ ^ln ea eb lneb ¤¦¦£¦¦¥eeab 1¦»¦¦¦¼²®¬ ln eb 1 eab 8ผภนาวคก ln eb ln 1 e ba b ln 1 e ba บทที่ (.3) 307เลม 3 : การออกแบบวงจรภาครบั ขัน้ สูง Volume III : Advanced Receiver Design
³³Ë£ʯ¹ ¥©£³Ë ¬¯¥· É ²Æn§§ ³ qÂÉ (.4) ln ea eb max a,b ln 1 eabʸ¥³ ¬£´¥ (3.15) ´£Ê· ¯n ´¥308 การประมวลผลสัญญาณสำหรบั การจัดเกบ็ ขอมูลดิจทิ ลั Signal Processing for Digital Data Storage
¢´© ¯Æ°Â ¯¥qħ¶ÃÂq¢´©·Ë² ¶¬»q¯Æ°Â ¯¥qħ¶ÃÂq (tanh rule) Ŭ£´¥ (4.30) ³·Ë n´Ån¡³q³ ´¥¶· ' c \0,1^ ¹¯m´ ´¥¶·¯Ân¯£»§ c = [c1, c2, …, cn] Ï´© n ¶ £ʹ¯ci {0,1} ³³Ë¡³q³ ´¥¶ · ' c ¬´£´¥´Æn ´ ' c 1 1 n 1 2ci ®¬ (.1) 2 i 1Âʹ¯´ ' c 0 Ĥʷ c £·Â§Ê¸¥©£³ÂÉÏ´©m» ç² ' c 1 £ʹ¯ c £·Â§Ê¸ กฎของไฮเพอ รโบลิกแทนเจน ต¥©£³ÂÉÏ´©Ê· ¯´·Ë©´£m´²ÂÉ (probability) Ê· ' c 1 £·m´Âm´³m´´£´¤(expected value) ¯ ' c ³Ê¹¯Pr ¢ ¡' c 1°±¯ E ¡¢' c¯±° 1Pr ¡¢' c 1¯±° 0Pr ¢ ¡' c 0°±¯ ข 11 E ¡¢¡ n 1 2ci ¯°°±¬® ผภนาวคก2 i 1 11 n 1 2E <ci >¬® (Âʹ¯´©´£Âɯ¶¬¥²¯m ³ )2 i 1 11 n 1 2eMi ®¬¬®2 1 1 eMi i 309เลม 3 : การออกแบบวงจรภาครบั ขน้ั สงู Volume III : Advanced Receiver Design
1 1 n 11 eeMMii ¬®¬® 2 i 1 1 1 n tanh Mi ¬®¬® (.2) 2 i 1 2£ʹ¯ E[.] ¹¯³©Ï´Â¶´¥m´´£´¤ (expectation operator) ç²Âʹ¯´ Pr ¢¡ ' c 0±°¯ 1 Pr ¢¡' c 1°±¯  ¥´²²³Ë´m LLR ¯ ' c £· m´Âm´³ M' c log ®¬ log 11 22¬® Pr ¢¡ ' c 1°±¯ i tanh Mi / (.3) Pr ¡¢ ' c 0±¯° i tanh Mi /¯´ª¤³ º¬£³ ¶ Ê©· m´ tanh M / 2 1eM / 1 eM ç²Ån : n tanh Mi / 2 ³ ³Ë i 1 M' c ¬® 111 : ¬® 1 : 1 : n M ®¬ 2 : 1 : 1 : i 1 itanh : tanh 2 (.4) 1 11 : ¬® :ʸ ¥³ ¬£´¥ (4.30) ´£Ê· n¯´¥310 การประมวลผลสญั ญาณสำหรับการจัดเกบ็ ขอมูลดจิ ิทัล Signal Processing for Digital Data Storage
¢´© ©´£¬££§» ¯¬£´¥ (4.30) ç² (4.32)¢´©·Ë²Ã¬ÅÂn É©m´¬£´¥ (4.30) ç² (4.32) £·´m Âm´³ Å n ¶ ´¥´¯Æ°Â ¯¥qħ¶ÃÂq (tanh rule) Ŭ£´¥ (4.30) ³Ê¯¹ M' c ®¬ n M ®¬ 2 i 1 itanh tanh 2 (.1)¬´Ï ¥³ Mi Ê·Âɧϴ©¥¶ ²Æn©´£¬³£ ³ q³ ·Ë ความสม ูมลของสมการ (4.30) และ (4.32)Mi sign Mi q Mi (.2)Ĥʷ x ¹¯m´¬³£»¥q¯ x, ç² sign x 1 £ʹ¯ x t 0 ç² sign x 1 £ʹ¯ x < 0´³Ëôm ¬£´¥ (.2) §Å¬£´¥ (.1) É ²Æn§§³ qÂÉ 2 ¬£´¥¯¹ sign M' c n sign Mi (.3) i 1 คtanh M' c¬® n tanh Mi ®¬ 2 i 1 2 ผภนาวคก (.4)Ŭ¡m ³q³ –log(.) ´n Æ³Ë ¬¯´n ¯¬£´¥ (.4) É ²Æn (.5) n f M' c f Mi i 1 311เลม 3 : การออกแบบวงจรภาครบั ขน้ั สูง Volume III : Advanced Receiver Design
Ĥʷ f x log tanh x / 2 ´£¬£´¥ (4.33) ʸ £·º ¬£³¶ ʬ· Ï´³ ¯¹ f f x x¬´Ï ¥³ x > 0 ³ ³Ën´Å¬¡m ³q ³ f . ´n Æ³Ë ¬¯n´¯¬£´¥ (.5) ɲÆn M' c f n f M ¬® (.6) i 1 iç²Â£Ê¯¹ Ï´¬£´¥ (.3) ç² (.6) £´¥©£³ É ²Æn §§³ qÂÉ n n ¬® i 1 i 1 M' c sign Mi q f f Mi (.7)ʸ¥³¬£´¥ (4.32) ´£Ê· n¯´¥312 การประมวลผลสัญญาณสำหรบั การจัดเก็บขอ มลู ดิจิทัล Signal Processing for Digital Data Storage
¢´© ´¥´´m ¥²£´Ã¯¡q¬´Ï ¥³ m¯¬³ ´ PR2¢´©·Ë²Ã¬©¶ · ´¥´´m ¥²£´Ã¯¡q¬Ï´¥³m¯¬³´ PR2 ´£¬£´¥ (5.23) การหา คาประมาณแบบซอฟ ต สำหรับชอง ัสญญาณ PR2³ ·Ë ¶´¥´Ã´Ï §¯m¯¬³´ PR2 Å¥» Ê· .1 £ʯ¹ §´Ï ³¯n £§» ¯¶ º61 ak {r1} ² ง»¬mÂn´m¯¬³´ PR2 ³Ê¹¯ H D k hkDk 1 2D D2 £ʹ¯ D ³©Ï´Â¶´¥ ผภนาวคกm©Â©§´Ê¸m©¤ ´Ï ÅÆn nÂɧϴ³n¯£»§ rk ak hk \0,o2,o4^ ©¥¢´¥³ ¯· ©¯Æ§Â¯¥qï¥qIJ¬¥n´m´©¬´¥Ã¯¡q¥¹¯m´ LLR {Ok}¬Ï´¥³§Ï´³n¯£»§ {ak}  ʹ¯ÅnÅ´¥Ã§Â§Ê·¤m´©¬´¥¥²©m´¯·©¯Æ§Â¯¥q SOVA 粩¥¯¥³¬ LDPC £ʹ¯ ¶´¥´¥²Ê·Æ£m£·m©¤©´£Ï´ “¬Æ§Â¯¥qï¡q (soft slicer)” ²Ån§Ï´³n¯£»§ {Ok} Å´¥Ï´©´m´³¬¶Åï¡q rk E ¡¢ rk | \Mk ^±°¯ Âʹ¯´n¯£»§Â¯´q º¯m¯¬³´ PR2 £·m´Âm´³ {0, r2, r4} ³³Ëm´¥²£´Ã¯¡q rk ´Æn´ rk i mi Pr ¡¢ rk mi | \Mk ^°¯± 4Pr ¡¢rk 4 | \Mk ^¯°± 2Pr ¡¢rk 2 | \Mk ^°¯± 2Pr ¡¢rk 2 | \Mk ^°±¯ 4Pr ¡ ¢rk 4 | \Mk ^±°¯ (.1)£ʯ¹ mi \0,o2,o4^ ´n ´Ï Ån61 Âɯn £»§¬ºm£Ã i.i.d. (independent and identically distributed) ʸ £· ´m ©´£m´²Âɯ –1 ç² 1 Âm´³ 0.5 313เลม 3 : การออกแบบวงจรภาครบั ขัน้ สงู Volume III : Advanced Receiver Design
ak rk ^r1` ^r4, r2,0` ¥» Ê· .1 m¯¬³´ PR2 M log Pr ¢¡ak 1| \Mk ^±¯° ®¬ k Pr ¢ ¡ak 1 | \Mk ^¯°±²Æ©n ´m \ ^Pr ¡ ¢ak 1|¯°± eMk / 2 Pr ¡ ¢ak 1 | °¯± eMk / 2 Mk eMk /2 eMk /2 \ ^ç² Mk eMk /2 eMk /2 ´¥» Ê· .1 n¯£§» ¯´q º ¯¯m ¬³´ rk = –4 Ém¯Â£Ê¹¯n¯£»§¯¶ º£·m´Âm´³{ak, ak – 1, ak – 2} = {–1, –1, –1} ³ ³Ë²Æn©m´Pr ¢¡ rk 4 | \Mk ^¯±° Pr ¡¢ak 1| \Mk ^°¯±qPr ¢¡ ak1 1 | \Mk ^¯±°qPr ¡¢ ak2 1 | \Mk ^°±¯ eMk eMk / 2 / 2 ¬®e Mk1 eMk1 / 2 / 2 ¬®eMk2e/2 Mke2 /2Mk2 / 2 ¬® (.2) /2 eMk e/ 2 Mk1ç²n¯£»§Â¯´q º ¯m¯¬³´ rk = 4 É ¯m £ʯ¹ n¯£§» ¯¶ º£·m´Â´m ³ {ak, ak – 1, ak – 2} ={1, 1, 1} ʸ ²Æ©n m´ Pr ¡¢ rk 4 | \Mk ^±¯° Pr ¡¢ ak 1 | \Mk ^¯°±qPr ¡¢ ak1 1| \Mk ^¯±°qPr ¡¢ak2 1| \Mk ^¯±° eMk / eMk / 2 / 2 ¬®eMk1 eMk1 / 2 / 2 ¬®eMk2 eMk2 / 2 / 2 ¬® (.3) 2 eMk e/ 2 Mk1 e/ 2 Mk2ÅÏ´¯Â¤· ©³ n¯£»§Â¯´ q º¯¯m ¬³ ´ rk = –2 ɯm £ʹ¯n¯£»§¯¶ º £· m´Âm´³ {ak,ak – 1, ak – 2} = {–1, –1, 1} ¥¹¯ {1, –1, –1} ʸ ²Æ©n m´ Pr ¢ ¡rk 2 | \Mk ^±°¯ Pr ¡¢ ak 1| \Mk ^¯±°qPr ¡¢ ak1 1 | \Mk ^¯°±qPr ¡ ¢ak2 1| \Mk ^±°¯314 การประมวลผลสญั ญาณสำหรบั การจดั เกบ็ ขอ มูลดจิ ทิ ัล Signal Processing for Digital Data Storage
Pr ¡¢ak 1 | \Mk ^±°¯qPr ¢¡ ak1 1| \Mk ^±°¯qPr ¢ ¡ak2 1| \Mk ^±°¯ eMk eMk / 2 /2 ¬® e Mk1 eMk1 / 2 / 2 ¬®eMk2 eMk2 / 2 /2 ¬® /2 eMk e/ 2 Mk1 e/ 2 Mk2 eMk / eMk / 2 / 2 ®¬e Mk1 eMk1 / 2 / 2 ®¬eMk2e/2 Mke2 /2Mk2 / 2 ¬® (.4) 2 eMk e/ 2 Mk1¬ºn´¤Â£Ê¹¯n¯£»§Â¯´q º¯m¯¬³´ rk = 2 Ém¯Â£Ê¹¯n¯£»§¯¶ º£·m´Âm´³ {ak, ak – 1,ak – 2} = {–1, 1, 1} ¥¹¯ {1, 1, –1} ʸ ²Æ©n m´Pr ¡¢rk 2 | \Mk ^±¯° Pr ¢¡ ak 1 | \Mk ^¯°±qPr ¡ ¢ak1 1 | \Mk ^¯°±qPr ¢ ¡ak2 1| \Mk ^¯°± Pr ¢¡ ak 1 | \Mk ^°±¯qPr ¡¢ ak1 1| \Mk ^°±¯qPr ¢¡ ak2 1| \Mk ^°±¯ การหา คาประมาณแบบซอฟ ต สำหรับชอง ัสญญาณ PR2 eMk eMk / 2 /2 ¬®eMk1 eMk1 / 2 / 2 ¬®eMk2 eMk2 / 2 /2 ¬® /2 eMk e/ 2 Mk1 e/ 2 Mk2 eMk / eMk / 2 / 2 ®¬eMk1 eMk1 / 2 / 2 ¬®eMk2e/2 Mke2 /2Mk2 / 2 ®¬ (.5) 2 eMk e/ 2 Mk1 n´Ï´Ån a Mk / 2, b Mk1 / 2, ç² c Mk2 / 2 ´³ËÃm´Â§m´·Ë§Å ง¬£´¥ (.2) – (.5) ´³Ë죴¥ (.2) – (.5) §Å¬£´¥ (.1) Ĥ¯´ª³¤ cosh x ผภนาวคก ex ex / 2 ç² sinh x ex ex / 2 ɲÆn rk ¦¦¥¦¦¦¤¦£ 2eaebec eaebec eaebec »¦¦¦¦¦²¦¼ 2eaebec eaebec eaebec 4 cosh acosh bcosh c ¥¤¦¦¦¦¦£ 2e (a b c ) 2e(a b c) e(a bc) e(a b c) e(a b c) e (a bc ) ¦¦¦¼¦²»¦ 4 cosh acosh bcosh c ¦¤£¦¦¦¦¥ 2 sinh a b c sinh a b c sinh a b c¦¦²¼¦¦¦» (.6) 2 cosh a cosh b cosh c 315เลม 3 : การออกแบบวงจรภาครับข้นั สูง Volume III : Advanced Receiver Design
ôm a M / 2, b M 1 / 2, ç² c M 2 /2 §Å¬£´¥ (.6) ɲÆn §§ ³ Âq É k k k rk C1 C2 C3 (.7) 2 cosh Mk 2cosh M 2cosh Mk2 2 / k 1 / / Ĥʷm´³© C1 2sinh Mk Mk1 Mk2 / 2 , C2 sinh Mk Mk1 Mk2 / 2 , ç² C3 sinh Mk Mk1 Mk2 / 2 ʸ¥³¬£´¥ (5.23) ´£Ê· n¯´¥316 การประมวลผลสัญญาณสำหรบั การจดั เกบ็ ขอ มลู ดิจทิ ัล Signal Processing for Digital Data Storage
¥¥´º¥£ บรรณา ุนกรม[1] ¶¤² Ä©¶ q ©©· ³ q, ´¥¥²£©§§¬³ ´¬´Ï ¥³ ´¥³ ÂÉ ¯n £»§¶ ¶³§ §m£ 1: ˹´m¯¬³´ ¯´m . ª»¤qÂÄħ¤¯· ¶ §É¥¯¶¬q§²¯£ ¶©Â¯¥qÂÂm ´¶ (ÂÂ), 2550.[2] S. B. Wicker, Error control systems for digital communication and storage. New Jersey: Printice Hall International, 1995[3] C. Berrou, A. Glavieux and P. Thitimajshima, “Near Shannon limit error-correction coding and decoding: Turbo-codes,” in Proc. of ICC’1993, pp. 1064 – 1070, Geneva, Switzerland, May 1993.[4] J. R. Barry, D. G. Messerschmitt, and E. A. Lee, Digital Communication. Springer, 3rd ed., 2003.[5] E. M. Kurtas and B. Vasic, Advanced Error Control Techniques for Data Storage Systems. CRC press, 2006.[6] Hitachi Global Storage Technologies [online], Available http://www.hitachigst.com/ internal- drives/mobile/travelstar/travelstar-5k500b [Access: October 17, 2010][7] J. Moon, “The role of signal processing in data-storage,” IEEE Signal Processing Magazine, pp. 54 – 72, July 1998.[8] B. Vasic and E. M. Kurtas, Coding and Signal Processing for Recording Systems. CRC press, 2005.[9] K. A. S. Immink, “Runlength-limited sequences,” in Proc. of the IEEE, vol. 78, no. 11, pp. 1745 – 1759, November 1990.[10] ¶¤² Ä©¶ q©·©³ q, ´¥¥²£©§§¬³´¬Ï´¥³´¥³ ÂÉ ¯n £»§¶ ¶§³ §£m 2: ´¥¯¯Ã©¥ ¢´¥³. ª» ¤Âq Äħ¤·¯¶Â§É ¥¯¶¬q§²¯£ ©¶ ¯¥Âq Âm ´¶ (ÂÂ), 2550.[11] J. W. M. Bergmans, Digital baseband transmission and recording. Boston/London/ Dordrecht: Kluwer Academic Publishers, 1996.[12] T. A. Roscamp, E. D. Boerner, and G. J. Parker, “Three-dimensional modeling of perpendicular recording with soft underlayer,” J. of Applied Physics, vol. 91, no. 10, May 2002.[13] G. D. Forney, “Maximum-likelihood sequence estimation of digital sequences in the presence of intersymbol interference,” IEEE Trans. Inform. Theory, vol. IT-18, no. 3, pp. 363 – 378, May 1972. 317เลม 3 : การออกแบบวงจรภาครบั ข้ันสูง Volume III : Advanced Receiver Design
[14] J. Moon and W. Zeng, “Equalization for maximum likelihood detector,” IEEE Trans. Magnetics, vol. 31, no. 2, pp. 1083 – 1088, March 1995. [15] P. Kovintavewat, I. Ozgunes, E. Kurtas, J. R. Barry, and S. W. McLaughlin, “Generalized partial response targets for perpendicular recording with jitter noise,” IEEE Trans. Magnetics, vol. 38, no. 5, pp. 2340 . 2342, September 2002. [16] B. Sklar, Digital communications: fundamentals and applications. Prentice Hall, 2nd-ed., 2001. [17] R. Gallager, “Low-density parity-check codes,” IRE Trans. Inform. Theory, vol. IT-8, pp. 21 – 28, January 1962. [18] L. R. Bahl, J. Cocke, F. Jelinek and J. Raviv, “Optimal decoding of linear codes for minimizing symbol error rate,” IEEE Trans. Inform. Theory, vol. IT-20, pp. 248 – 287, March 1974. [19] J. Hagenauer and P. Hoeher, “A Viterbi algorithm with soft-decision outputs and its applications,” in Proc. of Globecom’89, pp. 1680 – 1686, November 1989. [20] B. Zhou, L. Zhang, J. Kang, Q. Huang, Y. Y. Tai, S. Lin, and M. Xu, “Non-binary LDPC codes vs. Reed-Solomon codes,” in Proc. of Information Theory and Applications Workshop, San Diego, CA, pp. 175 – 184, January 27 - February 1, 2008, [21] C. Douillard, M. Jezequel and C. Berrou, “Iterative correction of intersymbol interference: Turbo- equalization,” Eur. Trans. Telecommun., vol. 6, no. 5, pp. 507 – 511, September – October 1995. [22] R. Koetter, A. C. Singer, and M. Tüchler, “Turbo Equalization,” IEEE Signal Processing Magazine, vol. 21, pp. 67 – 80, 2004. [23] P. Robertson, E. Villebrun, and P. Hoeher, “A comparison of optimal and sub–optimal MAP decoding algorithms operating in the log domain,” in Proc. of ICC’95, pp. 1009 – 1013, 1995. [24] P. Robertson, P. Hoeher, and E. Villebrun, “Optimal and sub-optimal maximum a posteriori algorithms suitable for turbo decoding,” European. Trans. Telecomm., vol. 8, pp. 119 – 125, Mar.-Apr. 1997. [25] C. E. Shannon, “A mathematical theory of communication,” Bell System Technical Journal, vol. 27, pp. 379 – 423, 623 – 656, July, October, 1948. [26] S. A. Barbulescu and S. S. Pietrobon, “Interleaver design for turbo codes,” Electron. Lett., vol. 30, no. 25, pp. 2107 – 2108, December 1994. [27] M. Oberg, A. Vityaev, and P. H. Siegel, “The effect of puncturing in turbo encoders,” in Proc. Int. Symp. Turbo Codes and Related Topics, Brest, France, Sept. 1997, pp. 184 – 187. [28] D. Divsalar and F. Pollara, “Turbo codes for PCS applications,” in Proc. of ICC’95, Seattle, WA, June 1995, pp. 54 – 59. [29] S. Benedetto and G. Montorsi, “Unveiling turbo codes: some results on parallel concatenated coding schemes,” IEEE Trans. Inform. Theory, vol. 42, no. 2, March 1996, pp. 409 – 429.318 การประมวลผลสญั ญาณสำหรบั การจดั เก็บขอมลู ดิจิทลั Signal Processing for Digital Data Storage
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[106] I. T. Ntokas, P. W. Nutter, and B. K. Middleton, “Evaluation of read channel performance for perpendicular patterned media,” J. Magn. Magn. Mater., 287: 437–441, 2005. [107] M. Keskinoz, “Two-dimensional equalization/detection for patterned media storage,” IEEE Trans. Magn., vol. 44, no. 4, pp. 533 – 539, April 2008. [108] S. Nabavi, Signal processing for bit-patterned media channels with inter-track interference. Ph.D thesis, Carnegie Mellon University, Pittsburgh, December 2008. [109] S. Karakulak, From channel modeling to signal processing for bit patterned media recording. Ph.D thesis, University of California, San Diego, 2010. [110] P. W. Nutter, I. T. Ntokas, B. K. Middleton, and D. T. Wilton, “Effect of island distribution on error rate performance in patterned media,” IEEE Trans. Magn., vol. 41, no. 10, pp. 3214 – 3216, Oct. 2005. [111] I. T. Ntokas, P. W. Nutter, C. J. Tjhai, and M. Z. Ahmed, “Improved data recovery from patterned media with inherent jitter noise using low-density parity-check codes,” IEEE Trans. Magn., vol. 43, no. 10, pp. 3925 – 3929, October 2007. [112] S. Karakulak, P. H. Siegel, J. K. Wolf, and H. N. Bertram, “A new read channel model for patterned media storage,” IEEE Trans. Magn., vol. 44, no. 1, pp. 193 – 197, January 2008. [113] H. J. Richter, A. Y. Dobin, O. Heinonen, K. Z. Gao, R. J. M. v.d. Veerdonk, R. T. Lynch, J. Xue, D. Weller, P. Asselin, M. F. Erden, and R. M. Brockie, “Recording on bit-patterned media at densities of 1 Tb/in2 and beyond,” IEEE Trans. Magn., vol. 42, no. 10, pp. 2255 – 2260, October 2006. [114] S. W. Yuan and H. N. Bertram, “Off-track spacing loss of shielded MR heads,” IEEE Trans. Magn., vol. 30, no. 3, pp. 1267 – 1273, 1994. [115] K. Wiesen and B. Cross, “GMR head side-reading and bit aspect ratio,” IEEE Trans. Magn., vol. 39, no. 5, pp. 2609 – 2611, 2003. [116] S. Khizroev and D. Litvinov, “Parallels between playback in perpendicular and longitudinal recording,” J. Magn. Magn. Mater., vol. 257, pp. 126 – 131, 2003. [117] Y. Shiroishi, K. Fukuda, et al., “Future options for HDD storage,” IEEE Trans. Magn., vol. 45, no. 10, pp. 3816 – 3822, October 2009. [118] S. H. Ahn, Example of 2D convolution [online], Available http://www.songho.ca/dsp/ convolution/convolution2d_example.html [Access: May 12, 2011] [119] S. Nabavi, B. V. Kumar, and J. A. Bain, “Mitigating the effects of track mis-registration in bit- patterned media,” in Proc. of ICC’08, Beijing, China, pp.2061 – 2065. [120] S. Koonkarnkhai, N. Chirdchoo, and P. Kovintavewat, “Iterative decoding for high-density bit- patterned magnetic recording,” submitted to I-SEEC 2011, Nakhon Pathom, Thailand, December 15-18, 2011.324 การประมวลผลสญั ญาณสำหรบั การจดั เกบ็ ขอ มูลดิจิทัล Signal Processing for Digital Data Storage
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[136] M. L. Williams and R. L. Comstock, “An analytic model of the write process in digital magnetic recording”, in Proc. 17th Annu. AIP Conf., 1971, pp. 724 – 738. [137] A. M. Taratorin, Magnetic recording systems and measurements. San Jose Research Center Hitachi Global Storage Technology, 2004. [138] O. Karlqvist, “Calculation of the magnetic field in the ferromagnetic layer of a magnetic drum,” Trans. R. Inst. Technol. Stockholm, vol. 86, pp. 3 – 27, 1954. [139] R. Radhakrishan, Detection and decoding for magnetic storage systems. Ph.D thesis, University of Arizona, Arizona, May 2009. [140] H. N. Bertram, H. Zhou, and R. Gustafson, “Signal to noise ratio scaling and density limit estimates in longitudinal magnetic recording,” IEEE Trans. Magn., vol. 34, pp. 1845 – 1847, July 1998. [141] J. C. Mallinson and H. N. Bertram, “On the characteristics of pole-keeper head fields,” IEEE Trans. Magn., vol. 20, no. 5, pp. 721 – 723, September 1984. [142] J. Caroselli and J. K. Wolf, “A new model for media noise in thin film media,” in Proc. of SPIE – Coding and Information Theory, vol. 2605, pp. 29 – 38, 1995. [143] J. S. Goldberg and J. K. Wolf, “Implementation and analysis of nonlinear effects in the microtrack model,” IEEE. Trans. Magn., vol. 35, pp. 2256–2258, Sept. 1999. [144] A. Kaewpukdee, N. Chirdchoo, and P. Kovintavewat, “Transition characteristics of longitudinal heat-assisted magnetic recording systems,” submitted to I-SEEC 2011, Nakhon Pathom, Thailand, December 15-18, 2011.326 การประมวลผลสญั ญาณสำหรบั การจัดเกบ็ ขอ มลู ดิจทิ ัล Signal Processing for Digital Data Storage
¥¥·APP, 12, 27, 29, 122 SISO, 8 บดรรรณรา ุนชกร ีนมAWGN, 12, 13, 27, 222, 231BER, 17, 53, 148, 196 SNR, 196FSM, 19, 24 ¯m ¬³ ´°´¥q¶¬Æq ¥¡q, 178ISI, 4, 27, 204, 210 ¥²Ê·Æ£m »Ân´¥³¬, 147ITI, 202, 204, 210 ¥²Ê·» Ân´¥¬³ , 151LLR, 10, 14, 49, 67 TA, 155, 181193 ï²Ä ¬Â¯¥¶¯¯¥¶, 14, 35, 122, 136 ÃÏ´§¯, 184 ï² ¶¥¯¶ ¯¥,¶ 14, 36 §´¥§¯, 189 ´¥³¬¶Å, 83 ©¶· ´¥¥©´Ã§²ÃnÆ, 185MAP, 58, 122 ©¶ · ´¥¥©´Ã§²ÃnÆÃ©Ï´Ë , 188ML, 58ND, 4, 6 TMR, 202, 257preamble, 159PRML, 58, 229 ¥¤· qPSP, 156, 163 ¶©´£¥n¯, 266, 281, 283, 289PSP-BCJR, 156, 169 ¬´£Ã£m夃 ¯©³ ¤· , 279, 287PSP-SOVA, 181 ¬´£§§n´¬¢´ ãm§É, 271, 280, 281,PW50, 3, 210, 216, 218, 297, 302 289SER, 60, 151 ¬¢´ ©´£ÂÉãm夃 , 271, 276 Â¥ ¶ ãm§É, 195 ¥¶ ãm§É, 195, 264 ¥ʹ¯¬´²Ï´³ , 19, 24 ÂÄħ¤· BPMR, 195, 226 327เลม 3 : การออกแบบวงจรภาครับขนั้ สูง Volume III : Advanced Receiver Design
HAMR, 195, 226 m¯¬³´ BPMR ÊÅ· n 3 ³©¯m´, 256 MAMR, 226 ¯m ¬³´ BPMR Ê·Æ£m m¯Âʹ¯´Â©§´, SWR, 227 TDMR, 195, 227 223 m¯¬³´Â¬£¯¹ ¥¶, 7, 168 ÂÄħ¤· BPMR, 195225 m¯¬³ ´¯º£¶, 7, 157 ÃÃm £º , 199 ©¶§Â§·¤£-¯£¬¯É , 266, 270 ÃÄ ¥, 200 ©¶§Â§¤· £-¯£¬É¯Â¶©´£¥¯n , 266, 271 ¬Ê¹¯³ ¸ , 198 ⴠ¥§§¶¬, 19, 28, 162, 245 ÂÄħ¤· HAMR, 263304 ´¥Âq ɬ¯£¶Ã¶ ¬££´¥, 252 ¥²©´¥Â·¤, 265 ´¥Âq É ¬¯£¶ ¶Ã¯¬££´¥, 253 ©´£º ¯n £§» , 266 ´¥qÂÉ ¬¯£¶¶£Ê· ·£º£Âɪ» ¤Ãq ¬££´¥, §³«²Â ´², 293 250 ¬³ ´ §³ ¬q, 292 ïƯĥ¯·, 197, 264 £¥¶ ¬n´, 25 𣣶 ¬´², 30, 32, 65 ÏË´³, 110 ¬´´, 25, 30 ¥²¤²´, 110 ¥²¤²´n¯¤¬º, 110 £¥¶q ©³ ´Ï ¶, 108 Ä ¥Æ¡§q ´¥¶Â· É, 109, 139 ©´Ã¥É, 204, 210, 219 ¯º ¢»£,¶ 267, 291 ¬nÄn ¥»³©Â¯¬, 158 Ƨ¶ ¬§¶, 173 ¬n ´ ML, 82, 84 Æ££Ê¶ ¥¶ ¡³ ©¯¥·, 3, 155 n´n´, 31 à PS-ITR, 156 ¤¯n §³, 31 à PS-TR, 156 à RC-PS-ITR, 181 ¬n ´Ê¤· ³£· ·©¶¯¤m», 26, 82 ÃÊ·Ån ³ ©³Ê Æ, 155 é´ÏË , 156 åɣ¶¬Â¥¶¬Â¥³, 202, 224, 257 ©´£³ n¯, 176 Ã´Ï §¯ Æ££Ê¶¥¶³¡Â©¯¥Ã· PS-ITR, 167181 ƣĥåÉ, 291293 ⴠ¥§§¶¬, 171, 173 m¯¬³ ´, 2, 28, 183 ´¥Â©·¤Â¶ ôn n´, 171 m¯¬³´ BPMR, 222, 253 ´¥Â©¤· ¶ä¯n §³ , 172328 การประมวลผลสัญญาณสำหรบั การจัดเกบ็ ขอมลู ดิจทิ ลั Signal Processing for Digital Data Storage
¬£¥¥², 173 ´¥¯¥³¬ ด ร ร ช ีน §³´¥´Ï ´, 169 é´ÏË , 17, 46 ©¥¥©´©·Â¯¥q ,¶ 26Æ££Ê¶¥¶ ³¡Â©¯¥·Ã PS-TR, 162167 ⴠ¥§§¶¬, 164 ´¥¯¥³¬Ã©Ï´Ë , 8 ¬£¥¥², 165 §³´¥Ï´´, 163 ´¥§¯, 56Ưçq, 197, 203 ´¥¯¯Ã ´¥qÂÉ粯· ©¯Æ§Â¯¥q, 229¯Â¬,q 12, 93, 136 ´¥Âq ɬ¯£¶ ö ¬££´¥Ã§²¯· ©¯ Ƨ¯¥q ʸ£¶ ¶, 238¯Æ°Â ¯¥Äq §¶ ÃÂ,q 116 ´¥Âq ɬ¯£¶Ã¶ ¯¬££´¥Ã§²¯· ©¯ Ƨ¯¥q ʸ£¶ ¶, 239¥²©´¥¯m´, 2 ´¥Âq ɬ¯£¶Ã¶ §²¯· ©¯Æ§Â¯¥¬q ¯£¶,¶ 240¥´¡ ´¥qÂÉ ¬¯£¶¶Ê£· £· º£Âɪ» ¤Ãq §²¯·©¯ ï¥q, 112, 114, 132 Ƨ¯¥q ʸ£¶¶, 233 ¬¯¬©m , 114, 125 ´¥qÂÉ Ê¸£¶ ¶Ã§²¯· ©¯Æ§Â¯¥qʸ£¶,¶ 230´¥Ân´³ ©², 155, 167 §´¥§¯, 253´¥Â´n ¥³¬ n¯¶ §´ Ãm¯³, 17 ´Â©§´, 158 Ãm¯´, 46 ´©´£Ê,· 159´¥Â¶ ì£mº , 157 m´©¬´¥ ¯q¥¶¶, 49, 50, 55, 123´¥Â©·¤Â¶ ï¡,q 8, 10, 13, 55 Ãn´n´, 34 ð´¥q , 10 ä¯n §³, 34 ¯² ¥¶ ¯¶ ¯¥¶, 13, 49 ¯¶ ¥¶¶ , 123´¥Ã¥¬¯ 쯣¶,¶ 204 · ´Ï ³Â» ¯¥ q ´¥´Ã£Â¶, 195 ¥²©m´Ã¥É , 202, 204 ¥²©´m ¬³ §³ «q, 4, 27, 204 ©´£Än ¯´¥Â§Ê·¤¬´², 294´¥Ã§ D, 21 ©´£¥º¥²Â¶©´£¥n¯, 155´¥³ ¬¶Å ©´£º ï¡,q 10 ð´¥q, 10 329เลม 3 : การออกแบบวงจรภาครบั ข้นั สงู Volume III : Advanced Receiver Design
m¯¬³ ´¯Ã¯, 18 à GPR, 6 à PR, 5 ©´£³ ¯n 篬¯´¬m©, 5 ©¥¥©´Ã¯¡,q 102 ¥²´¥³ ¸ Ãé³Ë , 5 ¥²´¥³¸Ãé¯, 5 ©´£m´Âʹ¯¹¯, 10, 13, 81, 86 ¬¯£¶ ¶, 235, 242 ¬¯£¶¶Ã¬££´¥, 238, 251 ©´£m´²ÂÉ ¬¯£¶Ã¶ ¯¬££´¥, 252 ´¥Â§Ê¤· ¬´²Ã¯²Ä ¬Â¯¥¯¶ ¯¥¶, 29 ¬¯£¶¶Ê·£·££º Âɪ» ¤q, 235 ´¥³ ¬¶ÅÊ·» n¯, 83 ¬¯£¶ ¶Ê·£·£º£Âɪ» ¤q죣´¥, 249 ¯²Ä ¬Â¯¥¯¶ ¯¥¶, 12, 27, 29, 34, 122 ¯² ¶¥¯¶ ¯¥¶, 12, 32 ´¥qÂÉà PR, 58 ©´£´Ãm¶ ˹ Ê,· 195, 217 ¶Â§§,q 4, 196 ¯Ä©§»³Ã¬¯£¶ ¶, 222 §¯¬¯ ¶©´£,Ê· 6 m´¥²£´ ´¥qÂÉ, 5 ï¡,q 168, 188 ð´¥q, 169 º´£ ©³ ϴ¶, 18 Ï´¥¬³ , 20, 107 n¯§³, 23 n¯´n n´, 23 º¬£³ ¶ £´¥q ¯¡, 30, 32 ´¥´£¶Â¯¥q´¥Â§Ê¤· ¬´², 271, 274, 284, 290 ¶Â¯¥q ´Â©§´, 156 ˹n¯¶ §´, 51 º ¥³ ©´£¥n¯, 274 ´Åm, 281, 283, 284, 289 ¡³ q³ ÃÆn ¯n ¶ §´, 77 ºª» ¤q§´´¥Â§Ê·¤¬´², 271, 274, n¯¶ §´, 3 283, 289 ©¥²ÂÉ, 12 ©¥²ÂÉ篴¥¶ ¸£, 35, 86 m¯¬³ ´, 5 ©´£Æ©, 208, 293 AWGN, 147 ©´£´Ãm©´£m´²ÂÉ, 10, 30 é´ÏË , 150 ©´£´Ãm©´£m´²ÂÉã·Âʯ¹ Æ, ¯´m , 2, 7, 147 12, 123 ©´£´Ãm©´£m´²ÂÉ¥©m £, 13 » ¯¥q ´¥´Ã£Â¶, 264 ´¥´n´, 51, 111 ´¥Âq É, 223, 231330 การประมวลผลสัญญาณสำหรบั การจัดเกบ็ ขอมูลดจิ ิทัล Signal Processing for Digital Data Storage
m´¬»¬º , 66 ´¥Ân´¥¬³ , 108 ด ร ร ช ีน ´¥¶ ,· 116, 130 ´¥¯¥¬³ , 111 §¯´¥¶ £¸ ´Ä¤· , 77 ¶ ´¥¶ ,· 108 ¯´¥qÃÂ,q 271, 274, 287 ¯³¥´¥¬³ , 108¢´©² ¥² ´¥Æn£´, 159 ÊÆ· £m» ´n ¥¬³ , 8, 60, 152 ´¥Æn£´Ã¬£»¥q, 160 Ê· » ´n ¥¬³ , 8, 56, 151, 173 ´¥¶´£, 160 ¥² HAMR¥¬³ Ãé³Ë , 275, 285291, 302 ECC, 18 Ãé¯, 275285, 294 RS, 8, 9 ¯¥qÄ, 17, 4650 ¥²´¥³ ÂÉ ¯n £§» ¶¶³§, 1 ¯¥Äq Ãm¯´, 54 ¯¥Äq Ãm¯¯º¥£, 54 ¥²´¥³¸ ÃÆn ¯n ¶ §´, 8, 107, 155 Ãé³Ë , 3, 196 ã·¥², 109, 122 Ãé¯, 3 §¯É , 18 ´¥¶·ÂÉ, 112 ¥²¤², 217¥³¬ LDPC, 107139 ¥²¤²Ã¥É, 203, 204, 224 LLR, 127 Ãé§Ï´³ , 142 §´Ï ³n¯£§» Ãé§Ï´³Ê· » ¥³ ¥º , 143 §ʷ¤¬´², 2 Æ£¬m £Ïʴ¬£¯, 113, 115 ´¥Â´n ¥¬³ , 119 §» °¶¬Â¯¥· ¬¶ , 268, 271 ´¥¯¥¬³ , 121 ¥,¶ 113, 139 ©¥ ©³³¥, 125 PLL, 158 ¬£¥¥², 147 PLL ¯³³ Ê·¬¯, 159 ¯³¥´¥¬³ , 113 PLL ¯³³Ê· ʸ, 159 ¯³§¯¥¶¸£´¥´m m´©¬´¥, 132 TED, 158 VCO, 158¥³¬ÃÆn ¯n ¶ §´, 18 Ân´,»m 12, 46 ôn n´, 18 Ân´m» ³, 58 ´², 60¥³¬§¯É ¶ ¬n, 107 ´²³, 60 ¡¬§¯É §» , 155 ¥¯m´Ï´Ê , 3, 158 331เลม 3 : การออกแบบวงจรภาครบั ขน้ั สงู Volume III : Advanced Receiver Design
¥¯§» , 158 ©Â· ¯¥q,¶ 5, 27, 66, 247 ³ ³©¯¤´m , 155 ©·Â¯¥q¬¶ ¯£¶ ¶, 229, 249253 £· §³ ¶ §É¯¥,q 46, 47 ©Â· ¯¥q¶Ê¸£¶ ,¶ 245248 £³§¶Â §É¯¥q, 46, 47 ¬³ §³«q, 7, 158 ¯º ³ q¯º £¶, 2 ©¥¯¥¬³ ©¥Ân´¥¬³ ECC, 8 ¯¥qÄ, 47 ¯¥Äq , 48 Ãn¯§³, 46 à SISO, 8, 13, 66 㥷 ², 55 é´ÏË , 8 ©¥¢´¥³ ¯Ä©§» ³, 1827 ÃÊÅ· n ³ ³©Ê Æ, 57, 167, 184 ¯Ä©§»³Ã£¥· ², 19 ï²Ä ¬Â¯¥¶¯¯¥¬¶ » ¬º, 122 ¯Ä©§»³Ã£·¥²Â©·¤Â¶, 19, 55 ©´£³n¯, 180 ¢´¤Å, 55 ¢´¤¯, 55 ©¥¯¶ ¯¥q§¡· ©¯¥q, 47, 5052, 54 Ãé¯Ã§²Ã©³Ë , 51 ©¥¥©´ 캣m , 51 2D-SOVA, 260 ìºm£ S, 51 BCJR, 152 죺m ¤· £, 51 PRML, 223, 229 ³ , 50 SOVA, 152 ¯º £¶, 51 SOVA 쯶ª´, 260 £´²Ê·¬º, 29, 57 ª³¤qãm§É, 206 à MAP, 27, 37 ˹©¶ , 207 à ML, 27, 66 à SISO, 8, 9, 66 ¬´£Ã£m§ɯ³©Â·¤, 271, 277, 285 饲Âɬ» ¬º , 27, 66 à Karlqvist, 277 ï¡,q 65 Ê·¯¤Å»m m¯©m´, 278, 286 ¯n ¶ §´´Â©§´, 158 · ¥ʣ¶ §ʤ· , 14, 50 ¬´£§§n´¬¢´ ãÂm §É, 271, 279, 287 ·Â¥Ê¶£Â§Ê·¤Ã¯¡,q 162 · ¥ʣ¶ §ʷ¤Ã§´¤¥²³ , 159 ¬¢´ ãÂm §É n´, 266, 272, 289 · ¥ʶ£Â§Ê·¤Ã°´¥q , 162 ©´£m´²Âɯ²Ä ¬Â¯¥¶¯¯¥¬¶ »¬º, 27 ¬¢´ ©´£ÂÉãÂm §É , 195, 264, 268, 270, §Ï´³ Ê·©¥²Âɬ»¬º , 247 271, 274, 275332 การประมวลผลสัญญาณสำหรับการจดั เกบ็ ขอ มลู ดจิ ทิ ลั ¬¢´ §§´n ãm夃 , 264, 265, 266 Signal Processing for Digital Data Storage ¬£¥¥² Æ££Ê¶ ¥¶³¡Â©¯¥·Ã PS-ITR, 173
Æ££Ê¶¥¶³¡Â©¯¥·Ã PS-TR, 165 ¯³¥´¬©m ด ร ร ช ีน Æ££Ê¶¥¶¡³ ©¯¥Ã· Ê·Ån³³©Ê Æ, 160 ©¥²ÂÉ篴¥¶£¸ , 10 ¥³¬ LDPC, 147 ¥² BPMR Ã©Ï´Ë , 258 ¯³§¯¥¶¸£ ¥²Â¯¥qÄ, 53 PSP-BCJR, 169 ¯·©¯Æ§Â¯¥Ãq ¯¥qÄ, 60 £´²Ê¬· ºÃ¥¯, 66 ¯· ©¯Æ§Â¯¥q¬¯£¶¶, 256 à MAP, 66 ´¥´m ´m ©¬´¥, 9, 132, 133¬³´ ³§¬q ʷ£¯¹ MAP, 65 BPMR Ê£· ·Ã¥É £¶¬Â¥¶¬Â¥³, 224 ©Â· ¯¥q ö ¯¡q, 81 BPMR Ê£· ¬· ³ ´¥©¬Ê¯¹ ³¸ , 220 ¯²Ä ¬Â¯¥¯¶ ¯¥¬¶ »¬º, 65 Lorentzian, 3 ´¬Âq ¤· 쯣¶ ¶, 218 ¯§³ ¯¥¶ ¸£ BCJR, 2746 §ʷ¤¬´², 4 Âʹ¯Æ¥ʶ£n, 33 쯣¶ ,¶ 205, 210 £¥¶ ¬´², 32, 36 ƶ , 4, 5, 6 £¥¶¬´´, 32, 36 Æ©¶ ¬q¯º £,¶ 7 ¯¥q£¯§Æ§Â³ , 36 ´£Ã¥É, 204, 210, 219 ´¥´£Â¶ ¯¥,q 31 §³´¥Ï´´, 27, 37¬³´¥© ´¬Âq ·¤¬·´©Ã©, 231 ¯§³ ¯¥¶ £¸ Log-MAP, 7780 ´¬¬q ·´©Ã©, 12, 27, 222 LLR, 78 ´¥Â§Ê·¤¬´², 196, 203 £¥¶¬´², 78 ¶ ¯¥q ¯¬Ê¯¹ ³¸ , 177 £¥¶ ¬´´, 78 ¬Ê¯¹ ³¸, 203, 204, 220, 257 §³ ´¥Ï´´, 78¬³´¯m´§³, 2, 157, 183, 202 ¯³§¯¥¶ ¸£ Max-Log-MAP, 6677 ¥² BPMR, 217, 222, 230 LLR, 68 £¥¶ ¬´², 68§³´¥¯¬¯, 205 £¥¶ ¬´´, 68 ¯n ¶ §´´´¥¥²£´´m , 77¯¯¡Â´Â¡¬, 158 ¯¥q£¯§Æ§Â³, 69 ´¥³ ³©¯¤m´, 159 §³´¥´Ï ´, 69¯³ ¥´n¯¶ §´ ¯§³ ¯¥¶ £¸ SOVA, 8192 ¯¥,q 60, 151 LLR, 82, 85 ¶ , 17, 53, 148, 196 £¥¶ ¬n´, 82 £¥¶ ¬´´, 81, 87¯³¥´¥¬³ , 108, 113 333เลม 3 : การออกแบบวงจรภาครบั ข้ันสงู Volume III : Advanced Receiver Design
£¥¶¬´´Ê· »¥³ ¥º, 81 ì´££¶ ,¶ 202, 205 ¬n´Ê· » ³ ¶Ë , 84 ⴠ¥§§¬¶ , 83 ¯·©¯Æ§Â³ , 56 ©´£§¸´¥¯¥¬³ , 84 ï¥qÄ, 17, 56 §m´¯Â£¥¶Â¬n ´, 83 죻¥q, 7, 245 §³ ´¥Ï´´, 87 ¯·©¯Æ§Â¯¥q, 5, 56, 231¯³§¯¥¶£¸ SOVA 쯶ª´, 93102 BCJR, 169 LLR, 94, 95 SOVA, 184 £¥¶ ¬´´, 93 à SISO, 58, 60 ¶n¯£§» ¥´n £, 94 ï¥qÄ, 5662 §³´¥Ï´´, 97 쯣¶ ,¶ 202 ¬¯£¶ ¶, 241¯¶¶¥§³ ´¥¯¬¯, 202334 การประมวลผลสัญญาณสำหรบั การจดั เก็บขอ มลู ดจิ ทิ ลั Signal Processing for Digital Data Storage
หนังสือ การประมวลผลสัญญาณสำหรับการจัดเก็บขอมูลดิจิทัล เลม 3 : การออกแบบวงจรภาครับข้ันสูง เหมาะสำหรับนักศึกษาและ ผูสนใจทางดานระบบการประมวลผลสัญญาณของฮารดดิสก ไดรฟท ่มี คี วามจขุ อ มลู สูงยิง่ หนงั สอื เลม นแ้ี บง เปน สองสว น สว นแรกจะเกย่ี วกบั เทคนคิ การถอดรหสั แบบวนซำ้ (ประกอบดว ยรหสั เทอรโ บ อคี วอไลเซอร แบบเทอรโบ วงจรตรวจหาแบบซอฟต รหัสแอลดีพีซี และการ ประยุกตใชงาน) ที่เริ่มนำมาใชในฮารดดิสกไดรฟรุนใหมๆ และ สว นท่สี องจะเกยี่ วขอ งกบั เทคโนโลยกี ารบนั ทกึ เชงิ แมเ หลก็ แบบใหม (เทคโนโลยี BPMR และ HAMR) ทีจ่ ะนำมาใชใ นอนาคต URL: http://home.npru.ac.th/piya/HDD_BookISBN 978-974-350-900-1ราคา 270.-
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