การประมวลผลสัญญาณสำหรับการจัดเก็บข้อมูลดิจิทัล เล่ม 2: การออกแบบวงจรภาครับ

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180 ȹ٠Âàì ·¤â¹âÅÂÍÕ àÔ Å¡ç ·Ã͹¡Ô Êàì àÅФÍÁ¾ÇÔ àµÍÃìààË§è ªÒµÔ¡Ò÷ӹÒÂÊÑ­­Ò³Ãº¡Ç¹ noise prediction¡ÒÃá·Ã¡ÊÍ´ interference¡ÒÃá·Ã¡ÊÍ´ÃÐËÇÒè §ÊÑ­Åѡɳì ISI (intersymbol interference)¡Òúǡ¡ÒÃà»ÃÕºà·Õº¡ÒÃàÅ×Í¡ ACS (addcompareselect)¡Òú¹Ñ ·Ö¡ recording¡Òúѹ·Ö¡áººá¹Çµ§ŒÑ perpendicular recording¡Òú¹Ñ ·Ö¡áººá¹Ç¹Í¹ longitudinal recording¡Òú¹Ñ ·Ö¡áººäº¹ÒÃÕ binary recording¡Òú¹Ñ ·¡Ö ÃкºáÁàè ËÅç¡ magnetic recording¡ÒûÃÐÁÇżÅẺà¾Íà«ÍÃìäÇàÇÍÃì PSP (persurvivor processing)¡ÒûÃÐÁÇżÅÊ­Ñ ­Ò³´Ô¨·Ô ÑÅ digital signal processing¡ÒûÃѺ¤èÒ·Ò§àÇÅÒ timing adjustment¡Òû‡Í¹¡ÅѺ feedback¡Òû͇ ¹¡ÅѺ¤Òè µÑ´Ê¹Ô ã¨ decisionfeedback¡ÒÃà»ÅÕ‹ ¹Ê¶Ò¹Ð transition¡ÒÃà»ÅÂ‹Õ ¹Ê¶Ò¹ÐàÍ¡à·È isolated transition¡ÒÃá»Å§«Õ Z transform¡ÒÃá»Å§¿àÙ ÃÕÂÃì Fourier transform¡ÒÃá»Å§¿àÙ ÃÂÕ Ã·ì ‹µÕ èÍà¹Í‹× §·Ò§àÇÅÒ continuoustime Fourier transform¡ÒÃá¾Ãè¡ÃШÒ¢ͧ¢éͼԴ¾ÅÒ´ error propagation¡ÒÃú¡Ç¹ disturbance¡ÒÃźÅÒé §ÊÀÒ¾áÁèàËÅç¡ demagnetization¡ÒÃàÅ׋͹µÓá˹觢ͧ¡ÒÃà»ÅՋ¹ʶҹРtransition shift¡ÒÃàŋ×͹µÓá˹觢ͧ¡ÒÃà»ÅÂՋ ¹Ê¶Ò¹ÐẺÊØèÁ random transition shift¡ÒÃ˹èǧàÇÅÒ¡ÒõѴÊԹ㨠decision delay¡ÒÃËÒ͹¾Ø ѹ¸ì dierentiation¡ÓÅѧ powerà¡ÒÊìà«ÂÕ ¹ Gaussian¢¹Ò´ magnitude¢éͼ´Ô ¾ÅÒ´ error¢Íé ¼´Ô ¾ÅÒ´¡Ò÷ӹÒ prediction error¢Íé ¼´Ô ¾ÅÒ´¡ÓÅѧÊͧà©ÅÂ‹Õ MSE (meansquared error)¢éͼ´Ô ¾ÅÒ´¡ÓÅ§Ñ Êͧà©ÅՋ·‹¹Õ éÍÂÊØ´ MMSE (minimum meansquared error)¢Íé ¼Ô´¾ÅÒ´·Ò§¤ÇÒÁ¶‹Õ frequency error¢éͼԴ¾ÅÒ´·Ò§à¿Ê phase error

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183·ÒÃàì ¡çµ target·ÒÃàì ¡µç ·Õà‹ ËÁÒÐ·Ê‹Õ ´Ø optimal target·ÒÃìà¡çµáºº GPR generalized partialresponse (GPR) target·ÒÃàì ¡çµáºº PR partialresponse (PR) target·ÓãËàé »¹š ºÃ÷´Ñ °Ò¹ normalizeà·¤¹¤Ô ¡ÒûÃÐÁÒ³¤èÒ㹪Çè § interpolation techniqueà·ÃÐ亵ì TB (terabyte)á·ç» tapä·ÁÁ§‹Ô ¿˜§¡ìªÑ¹ timing functionä·ÁÁ§Ô‹ ¿˜§¡ªì ѹẺ¹ÍÃÁì ÍÅäÅ«ì normalized timing functionä·ÁÁ‹Ô§Ã¤Ô Ñ¿àÇÍÃÕ timing recoveryä·ÁÁ‹§Ô ÃԤѿàÇÍÃáÕ ºº·ãՋ ªé¡¹Ñ ·Ñ‹Çä» conventional timing recoveryä·ÁÁÔ§‹ Ã¤Ô ¿Ñ àÇÍÃáÕ ºº¹ÃÔ ¹Ñ deductive timing recoveryä·ÁÁ‹§Ô ÃÔ¤¿Ñ àÇÍÃÕẺ»ÃÐÁÒ³¤èÒ㹪Çè § interpolated timing recoveryä·ÁÁ§‹Ô Ã¤Ô Ñ¿àÇÍÃÕẺÍØ»¹Ñ inductive timing recoveryä·ÁÁԋ§Å»Ù timing loopºµÔ bitºµÔ ¢èÒÇÊÒà message bitºÔµà«ÅÅì (¤Òº¢Í§àÇÅÒã¹Ë¹§‹Ö ºÔµ) bit cellºÔµà»Å‹Õ¹ʶҹРtransition bitºÔµÊèǹà¡Ô¹ redundant bitẹ´Çì ´Ô ·ì bandwidthẹ´Çì ´Ô ·ìà¡Ô¹à»¹š ÈÙ¹Âì zeroexcessbandwidthẹ´Çì ´Ô ·ì¢Í§ÅÙ» loop bandwidthẺ¢éÍÁÙÅ data patternẺ¨ÓÅͧ modelẺ¨ÓÅͧ¡Ò÷ӧҹ¢Í§Ç§¨Ãà¿ÊÅçÍ¡ÅÙ»áººàª§Ô àÊé¹ linearized phaselocked loop (PLL) modelẺ¨ÓÅͧªèÍ§Ê­Ñ ­Ò³·Õä‹ ÁèµèÍ๋×ͧ·Ò§àÇÅÒẺÊÁÁÙÅ equivalent discretetime channel modelẺ¨ÓÅͧªèÍ§Ê­Ñ ­Ò³àÊÁÍ× ¹¨Ã§Ô realistic channel modelẺ¨ÓÅͧªèÍ§Ê­Ñ ­Ò³ÍØ´Á¤µÔ ideal channel model亵ì (1 亵ì = 8 ºÔµ) byte亹ÒÃÕ (°Ò¹Êͧ) binary»ÃÐÊ·Ô ¸¼Ô ŢͧÃËÊÑ code eciency»ÃºÑ ¤èÒ (ãËàé »š¹»˜¨¨ºØ ¹Ñ ) update»ÃÔÁҳ˹èǧàÇÅÒã¹Å»Ù loop delay

184 ÈÙ¹Âàì ·¤â¹âÅÂÕÍÔàÅç¡·Ã͹ԡÊìààÅФÍÁ¾ÇÔ àµÍÃìààË§è ªÒµÔ¼ÅµÍºÊ¹Í§ response¼ÅµÍºÊ¹Í§¡ÒÃà»ÅÂ‹Õ ¹Ê¶Ò¹Ð transition response¼ÅµÍºÊ¹Í§¢Í§Ãкº system response¼ÅµÍºÊ¹Í§àª§Ô ¤ÇÒÁ¶‹Õ frequency response¼ÅµÍºÊ¹Í§ä´ºµÔ dibit response¼ÅµÍºÊ¹Í§·ÒÃìà¡çµ target response¼ÅµÍºÊ¹Í§ºÒ§ÊÇè ¹ PR (partial response)¼ÅµÍºÊ¹Í§ºÒ§Êèǹ¤ÇèÐ໚¹ÁÒ¡ÊØ´ PRML (partialresponse maximumlikelihood)¼ÅµÍºÊ¹Í§ºÒ§ÊèǹẺ·Ñ‹Çä» GPR (generalized partialresponse)¼ÅµÍºÊ¹Í§ÍÁÔ ¾ÑÅÊì impulse response¼ÅµÍºÊ¹Í§ÍÔÁ¾ÑÅÊì¨Ó¡Ñ´ FIR (nite impulse response)¼ÅµÍºÊ¹Í§ÍÔÁ¾ÑÅÊäì Áè¨Ó¡Ñ´ IIR (innite impulse response)á¼è¹«´Õ Õ CD (compact disc)á¼è¹´ÇÕ ´Õ Õ DVD (digital versatile disc)á¼è¹ºÑ¹·¡Ö áÁèàËÅç¡ magnetic oppy diská¼¹ÀÒ¾ diagramá¼¹ÀÒ¾à·ÃÅÅÔÊ trellis diagram¾Åѧ§Ò¹ energy¾Å§Ñ §Ò¹Ë¹‹§Ö ˹èÇ unit energy¾ËعÒÁ (â¾ÅÔâ¹àÁÂÕ Å) polynomialà¾Íà«ÍÃìäÇàÇÍÃäì ·ÁÁ‹§Ô Ã¤Ô Ñ¿àÇÍÃÕ persurvivor timing recoveryà¾Íà«ÍÃìäÇàÇÍÃäì ·ÁÁ§‹Ô Ã¤Ô Ñ¿àÇÍÃáÕ ºº·Ó§Ò¹«ŒÓ persurvivor iterative timing recoveryâ¾Å pole¿Å¡Ñ «ì ux¿˜§¡ªì ѹ function¿§˜ ¡ªì ¹Ñ ¢ÑŒ¹º¹Ñ ä´ step function¿§˜ ¡ªì ѹ¤ÇÒÁ˹Òá¹¹è ¤ÇÒÁ¹èÒ¨Ð໚¹ probability density function¿§˜ ¡ìªÑ¹¤ÇÒÁ˹Òá¹¹è ¤ÇÒÁ¹Òè ¨Ð໚¹áººà¡ÒÊìà«Õ¹ Gaussian probability density function¿§˜ ¡ìªÑ¹â¤Ã๤à¡ÍÃàì ´ÅµÒ Kronecker delta function¿§˜ ¡ìª¹Ñ ä´àäà´ÅµÒ Dirac delta function¿˜§¡ªì ѹ¶èÒÂâ͹ transfer function¿˜§¡ªì ѹÍÁÔ ¾ÑÅÊì impulse function俿҇ ¡ÃÐáʵç d.c. (direct current)ÀÒÇÐ modeÀÒÇСÒÃä´Áé Ò acquisition mode

185ÀÒÇСÒÃä´éÁÒẺÊÁºÃÙ ³ì perfect acquisitionÀÒÇСÒõ´Ô µÒÁ tracking modeÀÒÇСÒýƒ¡ÍºÃÁ training modeàÁµÃ¡Ô (µÑÇÇ´Ñ ) metricàÁ·Ã¡Ô «ì¡ÒÃà»ÅÂ‹Õ ¹Ê¶Ò¹Ð state transition matrixàÁ·ÃÔ¡«ìÊËÊÑÁ¾¹Ñ ¸ì¢Òé Á crosscorrelation matrixàÁ·ÃÔ¡«ì굄 ÊËÊÑÁ¾Ñ¹¸ì autocorrelation matrixàÁ·ÃÔ¡«àì Í¡Åѡɳì identity matrixäÁàè ¢éÒ¨§Ñ ËÇÐ asynchronousäÁèÁÕÊËÊÑÁ¾¹Ñ ¸ì¡¹Ñ uncorrelatedÃËÊÑ á¡äé ¢¢Íé ¼Ô´¾ÅÒ´ ECC (errorcorrection code)ÃËÑʤ͹âÇŪ٠¹Ñ convolutional codeÃËÊÑ ÁÍ´ÙàŪѹ modulation codeÃдѺ¢Õ´àÃÁԋ à»ÅÂ‹Õ ¹ threshold levelÃкº¡Òè´Ñ à¡ºç ¢éÍÁÙÅ data storage systemÃкº¡Òú¹Ñ ·¡Ö áÁèàËÅ¡ç magnetic recording systemÃкº·‹Õ¶Ù¡à¢éÒÃËÑÊ coded systemÃкº·‹ÕÁáÕ ¶º¤ÇÒÁ¶‹¨Õ Ó¡Ñ´ bandlimited systemÃкº·Õä‹ Áäè ´é¶Ù¡à¢éÒÃËÊÑ uncoded systemÃкºÊ‹×ÍÊÒôԨԷÅÑ digital communication systemÃÐÂÐ stageÃÐÂзҧ¡ÓÅ§Ñ Êͧà©Å‹Õ MSD (meansquared distance)ÃÐÂзҧ»ÃÐÊ·Ô ¸Ô¼Å eective distanceÃÐÂзҧ»ÃÐÊ·Ô ¸¼Ô Å¡ÓÅѧÊͧ squared eective distanceÃÐÂÐ·Ò§Â¤Ø Å´Ô Euclidean distanceÃÐÂÐ·Ò§Â¤Ø ÅÔ´¡ÓÅ§Ñ Êͧ squared Euclidean distanceÃÒ¡¡ÓÅ§Ñ Êͧà©ÅՋ RMS (root mean square)ÃÙ»¤Å¹‹× waveformàèÔÊàµÍÃìẺàÅÍ‹× ¹ shift registerÅÍ¡ÒÃ·Ô ÁÖ ¸ÃÃÁªÒµÔ natural logarithmÅͧ¼´Ô Åͧ¶Ù¡ trial and errorÅӴѺ sequenceÅӴѺ¢éͼԴ¾ÅÒ´ error sequenceÅӴѺ¢Íé ¼´Ô ¾ÅÒ´ÍÔ¹¾µØ input error sequenceÅÓ´ºÑ ¢éͼԴ¾ÅÒ´ÍÔ¹¾µØ ·¶‹Õ Ù¡µéͧ valid input error sequence

186 ȹ٠Âìà·¤â¹âÅÂÕÍÔàÅ¡ç ·Ã͹¡Ô ÊìààÅФÍÁ¾ÇÔ àµÍÃàì àË觪ҵÔÅÓ´ºÑ ¢Íé ÁÙÅ data sequenceÅӴѺ¢éÍÁÅÙ ÂÍè ÂàÅ¢¤Õ‹ odd subsequenceÅӴѺ¢Íé ÁÙÅÂÍè ÂàÅ¢¤èÙ even subsequenceǧ¨Ã VCO VCO (voltagecontrolled oscillator)ǧ¨Ã¡Ãͧ lterǧ¨Ã¡Ãͧ¡ÒûÃÐÁÒ³¤Òè 㹪Çè § interpolation lterǧ¨Ã¡Ãͧ¢Íé ¼´Ô ¾ÅÒ´¡Ò÷ӹÒ prediction error lterǧ¨Ã¡Ãͧ·Ó¹Ò predictor lterǧ¨Ã¡Ãͧ㹡Ò÷ÓãËéÊ­Ñ ­Ò³Ãº¡Ç¹à»š¹Ê¢Õ ÒÇ noise whitening lterǧ¨Ã¡ÃͧẺàªÔ§àʹé linear lterǧ¨Ã¡Ãͧ¼èÒ¹µÓ‹ LPF (lowpass lter)ǧ¨Ã¡Ãͧ¼Òè ¹µ‹ÓÍØ´Á¤µÔ ideal lowpass lterǧ¨Ã¡ÃͧŻ٠loop lterǧ¨Ãà¢Òé ÃËÑÊ encoderǧ¨Ãà¢Òé ÃËÑÊá¡äé ¢¢éͼ´Ô ¾ÅÒ´ errorcorrection code (ECC) encoderǧ¨Ãà¢éÒÃËÑÊÁÍ´ÙàŪ¹Ñ modulation encoderǧ¨ÃªÑ¡µÑÇÍÂèÒ§ samplerǧ¨ÃµÃǨËÒ detectorǧ¨ÃµÃǨËÒ¢éͼ´Ô ¾ÅÒ´·Ò§àÇÅÒ TED (timing error detector)ǧ¨ÃµÃǨËÒ¢´Õ àÃԋÁà»ÅՋ¹·‹äÕ ÁèÁËÕ ¹Çè ¤ÇÒÁ¨Ó memoryless threshold detectorǧ¨ÃµÃǨËÒ¢Õ´àËÔÁà»ÅÕ‹ ¹·Õä‹ ÁÁè ËÕ ¹Çè ¤ÇÒÁ¨ÓẺËÅÒÂÃдºÑ multilevel memoryless threshold de tectorǧ¨ÃµÃǨËÒ¢Õ´àËÔÁà»ÅÂՋ ¹áººËÅÒÂÃдºÑ multilevel threshold detectorǧ¨ÃµÃǨËÒ¨Ø´Ê§Ù Ê´Ø peak detectorǧ¨ÃµÃǨËÒÅӴѺ sequence detectorǧ¨ÃµÃǨËÒÅӴѺ·‹Õ¤ÇèÐ໚¹ÁÒ¡ÊØ´ MLSD (maximumlikelihood sequence detector)ǧ¨ÃµÃǨËÒÅÓ´ºÑ ·‹ÕàËÁÒÐ·Ê‹Õ Ø´ optimal sequence detectorǧ¨ÃµÃǨËÒÇÕà·Íúì Ô Viterbi detectorǧ¨ÃµÃǨËÒÊ­Ñ Åѡɳì symbol detectorǧ¨ÃµÃǨËÒ·à‹Õ ËÁÒз‹ÕÊ´Ø opimal detectorǧ¨Ã¶Í´ÃËÊÑ decoderǧ¨Ã¶Í´ÃËÊÑ á¡é䢢éͼ´Ô ¾ÅÒ´ errorcorrection code (ECC) decoderǧ¨Ã¶Í´ÃËÑÊÁÍ´ÙàŪ¹Ñ modulation decoderǧ¨Ã¡Ãͧ·Ó¹ÒÂ˹‹Ö§¢¹ÑŒ ẺàªÔ§àʹé linear onestep predictorǧ¨Ãà»Å‹ÂÕ ¹ÊÑ­­Ò³á͹ÐÅç͡໚¹Ê­Ñ ­Ò³´Ô¨Ô·ÑÅ ADC (analogtodigital converter)

187ǧ¨Ãà¿ÊÅÍç ¡Å»Ù PLL (phaselocked loop)ǧ¨ÃÀÒ¤ÃѺ receiverǧ¨ÃÀÒ¤Êè§ transmitterǧ¨ÃÁÍ´àÙ ÅàµÍÃì modulatorǧ¨ÃËÒ͹¾Ø ѹ¸ì dierentiatoràÇ¡àµÍÃìÅѡɳÐ੾ÒÐ eigenvectoràÇ¡àµÍÃìÅ¡Ñ É³Ð੾ÒÐẺ¹ÍÃìÁÍÅäÅ«ì normalized eigenvectorÊ൪ѹà¹ÃÕ stationaryʶҹРstateʶҹеèÍä» next stateʶҹÐàÃÁԋ µé¹ start stateʶһµ˜ ¡ÃÃÁªèͧÊÑ­­Ò³ÍèÒ¹ readchannel architectureÊ໡µÃÑÁ¤Òè ȹ٠Âì spectral nullÊÀÒ¾¤ÇÒÁ໹š áÁàè ËÅ¡ç (¡Ò÷ÓãËàé »š¹áÁàè ËÅ¡ç ) magnetizationÊÀÒ¾¤ÇÒÁ໚¹áÁàè ËÅ¡ç ¢Í§Ê×͋ ºÑ¹·¡Ö medium magnetizationÊÀҾźÅÒé §áÁàè ËÅç¡ coercivityÊÀÒ¾ãË«é ÖÁ¼èÒ¹ä´é permeabilityÊÁ¡ÒùÍÃÁì ÍÅ normal equationÊÁ¡ÒÃ»ÃºÑ ¤èÒ update equationÊÅºÑ à»ÅÂ‹Õ ¹ (·ÃÒ¹Êâ¾Ê) transposeÊèǹ»ÃСͺ componentÊËÊÁÑ ¾¹Ñ ¸ì correlationÊËÊÁÑ ¾Ñ¹¸¢ì éÒÁ crosscorrelationÊÑ­­Ò³ signalÊ­Ñ ­Ò³äº¹ÒÃÕ (Ê­Ñ ­Ò³ÊͧÃдºÑ ) binary signalÊÑ­­Ò³¾ÅÑ Êìä´ºÔµ dibit pulseÊ­Ñ ­Ò³¾ÅÑ Êì乤ÇÔµÊÍì ´Ø Á¤µÔ ideal Nyquist pulseÊÑ­­Ò³¾ÅÑ Êìà»ÅÕ‹ ¹Ê¶Ò¹Ð transition pulseÊ­Ñ ­Ò³¾ÑÅÊìà»Å‹ÂÕ ¹Ê¶Ò¹ÐàÍ¡à·È isolated transition pulseÊÑ­­Ò³Ãº¡Ç¹ noiseÊÑ­­Ò³Ãº¡Ç¹¡ÒÃà»Å‹ÂÕ ¹Ê¶Ò¹Ð transition noiseÊ­Ñ ­Ò³Ãº¡Ç¹à¡ÒÊÊì Õ¢ÒÇ white Gaussian noiseÊÑ­­Ò³Ãº¡Ç¹à¡ÒÊÊì Õ¢ÒÇẺºÇ¡ AWGN (additive white Gaussian noise)ÊÑ­­Ò³Ãº¡Ç¹¤ÇÒÁÃÍé ¹ thermal noiseÊ­Ñ ­Ò³Ãº¡Ç¹¨ÔµàµÍâì ͧÊ׋ͺ¹Ñ ·Ö¡ media jitter noise

188 ȹ٠Âìà·¤â¹âÅÂÍÕ ÔàÅç¡·Ã͹¡Ô Êàì àÅФÍÁ¾ÔÇàµÍÃìààË§è ªÒµÔÊÑ­­Ò³Ãº¡Ç¹·Õ¢‹ ¹ÖŒ Í¡èÙ ºÑ Ẻ¢Íé ÁÙÅ patterndependent noiseÊÑ­­Ò³Ãº¡Ç¹·Õ‹ÍÂÙè¹Í¡á¶º¤ÇÒÁ¶Õ‹ outofband noiseÊ­Ñ ­Ò³Ãº¡Ç¹áººÊÕ colored noiseÊ­Ñ ­Ò³Ãº¡Ç¹Ê¢Õ ÒÇ white noiseÊÑ­­Ò³Ãº¡Ç¹Ê׋ͺ¹Ñ ·Ö¡ media noiseÊ­Ñ ­Ò³á͹ÐÅÍç ¡·Ò§ä¿¿Ò‡ ·‹äÕ ´¨é Ò¡ËÇÑ ÍèÒ¹ (ÊÑ­­Ò³ readback) readback signalÊÁÑ »ÃÐÊÔ·¸Ô coecientÊÍ׋ ºÑ¹·¡Ö (¨Ò¹áÁèàËÅ¡ç ) media (or medium)àʶÕÂÃÀÒ¾ stableàʹé ⤧é û٠µÇÑ àÍÊ ScurveàÊ¹é ·Ò§·‹Õ处 ÁªÕ ÕÇÔµÍÂèÙ survivor pathàʹé ÊÒ¢Ò branch˹èǧàÇÅÒ delay˹Çè ¤ÇÒÁ¨Ó¢Í§ªÍè §Ê­Ñ ­Ò³ channel memory˹èǤÇÒÁ¨ÓàÊé¹·Ò§ path memoryËÅ¡Ñ ¡ÒÃàª§Ô µ§ŒÑ ©Ò¡ orthogonality principleËÑÇà¢Õ¹ write headËÇÑ ÍèÒ¹ read headà˵ءÒóì eventà˵¡Ø Òóì¢éͼԴ¾ÅÒ´ error eventà˵ءÒó¢ì Íé ¼´Ô ¾ÅÒ´·‹âÕ ´´à´¹è dominant error eventáËÅ觵¹é ·Ò§ sourceáËÅ觻ÅÒ·ҧ destinationÍͿ૵·Ò§¤ÇÒÁ¶Õ‹ frequency osetÍͿ૵·Ò§à¿Ê phase osetÍͿ૵·Ò§à¿Ê¢Í§¡Òê¡Ñ µÇÑ ÍÂÒè § sampling phase osetÍͿ૵·Ò§àÇÅÒ timing osetÍѵÃÒ¡ÒâÂÒ gainÍѵÃÒ¡Òê¡Ñ µÑÇÍÂÒè § sampling rate굄 ÃÒ¡ÒêѡµÑÇÍÂèҧẺà¡Ô¹¨Ã§Ô oversampling rateÍѵÃÒ¡ÒÃÅèàÙ ¢éÒ convergence rate굄 ÃÒ¢éͼԴ¾ÅÒ´ºÔµ BER (biterror rate)ÍѵÃÒ¢èÒÇÊÒÃàª§Ô àÊ鹡ӡѺ asymptotic information rateÍѵÃÒ¤ÇÒÁ˹Òá¹è¹ density ratio굄 ÃÒºÔµ bit rate

189ÍѵÃÒÃËÑÊ code rateÍѵÃÒÊ§è ¢Íé ÁÅÙ data rate굄 ÃÒÊèǹ¤èÒ¡ÓÅѧà©Å‹ÂÕ ¢Í§Ê­Ñ ­Ò³·Õ‹µéͧ¡ÒõèͤèÒ¡ÓÅ§Ñ à©ÅՋ¢ͧÊÑ­­Ò³Ãº¡Ç¹ SNR (signaltonoise ratio)ÍѵÊËÊÁÑ ¾¹Ñ ¸ì autocorrelationÍÅÑ ¡ÍÃÔ·ÁÖ (¢ÑŒ¹µÍ¹ÇÔ¸)Õ algorithmÍÑÅ¡ÍÃÔ·ÁÖ ÇàÕ ·Íúì Ô Viterbi algorithmÍÔ¹´Ñ¡·¿Õ (»ÃÐàÀ·¢Í§ËÑÇÍèÒ¹) inductiveÍÔ¹¾µØ (ÃѺà¢éÒ, ¹Óà¢éÒ) inputÍÔÁ‹ µÇÑ saturatedÍÕ¤ÇÍäÅ૪ѹẺÊÁºÙóì perfect equalizationÍÕ¤ÇÍäÅà«ÍÃì equalizerÍÕ¤ÇÍäÅà«ÍÃáì ºº PR partialresponse (PR) equalizerÍ¤Õ ÇÍäÅà«ÍÃáì ºº¼ÅµÍºÊ¹Í§àµÁç fullresponse equalizeràÍÒµì¾µØ (Êè§ÍÍ¡, ¹ÓÍÍ¡) outputàÍÒµì¾Øµ¢Í§ªÍè §ÊÑ­­Ò³ channel outputá͹ÐÅçÍ¡ analogÎÒÃì´´ÔÊ¡äì ´Ã¿ì hard disk driveàÎÃÔ µ«ì Hz (hertz)

190 ȹ٠Âàì ·¤â¹âÅÂÍÕ àÔ Å¡ç ·Ã͹ԡÊàì àÅФÍÁ¾ÇÔ àµÍÃàì àË觪ҵÔ

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´Ãê¹ÕPW50, 6 ËÅÑ¡¡ÒÃàªÔ§µÑŒ§©Ò¡, 142 ÍÑÅ¡ÍÃÔ·ÖÁ, 140–144 ¡Òú¹Ñ ·¡Ö Ẻá¹ÇµÑŒ§, 6 à¾Íà«ÍÃäì ÇàÇÍÃì (PSP), 144 ¡Òúѹ·Ö¡áººá¹Ç¹Í¹, 6 àÁµÃ¡Ô ÊÒ¢Ò, 140, 141 PLL, 18, 21, 67GPRML, 133 ¡ÒÃÍ͡Ẻ¤èÒ¾ÒÃÒÁÔàµÍÃ,ì 23–30 Íѹ´ºÑ ·‹ÕÊͧNPML, 115–135, 138 ¡Ò÷ÓãËÊé ­Ñ ­Ò³Ãº¡Ç¹à»¹š ÊÕ¢ÒÇ, 117 ¡ÒÃÇàÔ ¤ÃÒÐËìàªÔ§àʹé , 28–30 ¢Íé ¼Ô´¾ÅÒ´¡ÓÅ§Ñ Êͧà©ÅÂ‹Õ , 119 ÊÁ¡ÒûÃѺ¤èÒ, 22 ·‹Õ¹éÍÂÊØ´, 120 Íѹ´Ñº·Ë‹Õ ¹Ö‹§ ¤ÇÒÁ«Ñº«é͹, 126 ¡ÒÃÇÔà¤ÃÒÐËìàªÔ§àÊé¹, 23–28 ·ÒÃàì ¡çµ»ÃÐÊ·Ô ¸¼Ô Å, 122, 123 ÊÁ¡ÒÃ»ÃºÑ ¤Òè , 22 »ÃÐÊ·Ô ¸ÔÀÒ¾, 129 àʶÂÕ ÃÀÒ¾, 24, 28 ǧ¨Ã¡Ãͧ·Ó¹ÒÂ, 117, 118 preamble, 22, 34 ËÅÑ¡¡Ò÷ӧҹ, 120–129 PRML, 44, 65–88, 115, 126, 137 ËÅ¡Ñ ¡ÒÃàª§Ô µŒÑ§©Ò¡, 119 àÁµÃ¡Ô ÊÒ¢Ò, 121, 122 ÃËÊÑ (0, G/I), 166PDNP, 137–150 ǧ¨ÃµÃǨËÒÇàÕ ·ÍÃìºÔ, 69 ¡Ò÷ÓãËÊé ­Ñ ­Ò³Ãº¡Ç¹à»¹š Ê¢Õ ÒÇ, 141 ÍÅÑ ¡ÍÃÔ·ÁÖ ÇàÕ ·ÍÃìºÔ, 75 ¤ÇÒÁ«Ñº«Íé ¹, 146 ÍÕ¤ÇÍäÅà«ÍÃ,ì 66 »ÃÐÊÔ·¸ÔÀÒ¾, 146 à¤ÃÍ‹× §Ê¶Ò¹Ð¨Ó¡Ñ´, 71 ǧ¨Ã¡Ãͧ·Ó¹ÒÂ, 141 á¼¹ÀÒ¾à·ÃÅÅÔÊ, 72 199

SCILAB, 8, 54 ÊÑ­­Ò³¾ÅÑ Êàì »ÅÂ‹Õ ¹Ê¶Ò¹Ð, 6SNR, 21, 104, 130 à˵¡Ø Òóì¢Íé ¼´Ô ¾ÅÒ´, 96Electronics, 55 ¡Òú¹Ñ ·Ö¡áººäº¹ÒÃÕ, 5¢Í§à˵¡Ø Òó¢ì Íé ¼´Ô ¾ÅÒ´, 100 ¤ÇÒÁäÁàè »¹š àª§Ô àʹé , 5 ¡ÒûÃѺ¤èÒ·Ò§àÇÅÒ, 37µèͺµÔ (Eb/N0), 31»ÃÐÊÔ·¸Ô¼Å, 47, 101, 103 ¡ÒÃÍ͡Ẻ·ÒÃàì ¡µç , 47–54¡®¢Í§¿ÒÃÒà´Âì, 5 Ẻ h1 = 1, 52 Ẻ·ÒÃìࡵç ੾ÒÐ, 53¡Ãкǹ¡Òà Ẻ¾Å§Ñ §Ò¹Ë¹‹§Ö ˹èÇÂ, 53¡Ò÷ÓãËéÊÑ­­Ò³Ãº¡Ç¹à»š¹ÊÕ¢ÒÇ, 116, 138, ẺâÁ¹Ô¡ (h0 = 1), 49141 ¡ÒÃà¢Òé ¨§Ñ ËÇÐ, 18, 22, 34, 67ÍÒè ¹, 5–8 ẺÊÁºÃÙ ³,ì 55, 104, 130, 147à¢Õ¹, 5 ¡ÒÃà´Ô¹áººÊØÁè , 20¡ÃÐáÊ俿҇ à¢Õ¹, 4, 5, 152 ¡ÒÃà»ÅÂՋ ¹Ê¶Ò¹Ð, 4, 11, 33, 76, 139, 152¡ÒáÅӌ ÃËÊÑ ¾ÅÑ Êì (PCM), 2 ·´Õ‹ ·Õ ‹ÊÕ Ø´, 77¡Òê¡Ñ µÇÑ ÍÂÒè §, 11, 18, 21, 36 ¼ÅµÍºÊ¹Í§, 6, 45¡Òúǡ¡ÒÃà»ÃÕºà·Õº¡ÒÃàÅ×Í¡, 122 ÊÀÒ¾¤ÇÒÁ໹š áÁèàËÅç¡, 5¡Òúѹ·¡Ö ÃкºáÁèàËÅç¡, 1 àÁ·ÃÔ¡«,ì 158Ẻ¨ÓÅͧªèͧÊÑ­­Ò³, 9 àÍ¡à·È, 6, 55, 104, 130¡Òúѹ·¡Ö Ẻá¹Çµ§ŒÑ , 3, 44, 54, 96, 103, 147 ¡ÒÃàÅ×͋ ¹µÓá˹觢ͧ¡ÒÃà»Å‹Õ¹ʶҹÐẺÊèØÁ,·ÒÃàì ¡çµáºº PR, 13, 44 55, 139¼ÅµÍºÊ¹Í§àªÔ§¤ÇÒÁ¶‹Õ, 8 ¡ÒÃá·Ã¡ÊÍ´ÃÐËÇèÒ§Ê­Ñ Åѡɳì (ISI), 6, 65,ÊÑ­­Ò³¾ÑÅÊàì »Å‹ÂÕ ¹Ê¶Ò¹Ð, 6 69, 152à˵¡Ø Òóì¢éͼ´Ô ¾ÅÒ´, 97 ¡ÒÃá»Å§ Z , 24, 28¡Òúѹ·Ö¡áººá¹Ç¹Í¹, 3, 96, 129, 147 ¡ÒÃá»Å§¿àÙ ÃÂÕ Ãì·µ‹Õ Íè à¹×͋ §·Ò§àÇÅÒ, 8·ÒÃàì ¡µç Ẻ PR, 12, 44¼ÅµÍºÊ¹Í§àª§Ô ¤ÇÒÁ¶,‹Õ 8 ¢´Õ ¨Ó¡´Ñ «Ùà»ÍÃì¾ÒÃÒáÁ¡à¹µ¡Ô , 3

¢éͼ´Ô ¾ÅÒ´ ¡Òúѹ·¡Ö Ẻá¹Ç¹Í¹, 44¡ÓÅѧÊͧà©Å‹Õ (MSE), 47, 119 ºÔµà«ÅÅì, 6, 24, 55, 103, 147¡ÓÅ§Ñ Êͧà©ÅÂ‹Õ ·‹¹Õ éÍÂÊØ´ (MMSE), 47, 120¡ÒÃÍ͡Ẻ·ÒÃìà¡çµ, 47–54 ¼ÅµÍºÊ¹Í§, 116·Ò§àÇÅÒ, 21, 24, 30, 38 ¡ÒÃà»Å‹ÂÕ ¹Ê¶Ò¹Ð, 6, 45 ẺÃÒ¡¡ÓÅѧÊͧà©ÅÂ‹Õ (RMS), 34 ¢ÑŒ¹ºÑ¹ä´, 25 ¢éͼԴ¾ÅÒ´, 26¤ÇèÐ໚¹ÁÒ¡Ê´Ø (ML), 44 ·ÒÃàì ¡çµ, 12, 45, 68, 138¤ÇÒÁ¶Õ‹áºº¹ÍÃìÁÍÅäÅ«ì, 8 ºÒ§ÊÇè ¹ (PR), 12, 43, 68¤ÇÒÁ¶Õä‹ ¹¤ÇÔµÊì, 44 ÍÔÁ¾ÅÑ Êì, 20, 30, 148¤ÇÒÁ˹Òá¹è¹ ÍÔÁ¾ÑÅÊì¨Ó¡Ñ´ (FIR), 67, 117, 138 ÍÁÔ ¾ÅÑ ÊìäÁ¨è Ó¡´Ñ (IIR), 117 ¡ÒúÃèØ, 155 àªÔ§¤ÇÒÁ¶Õ,‹ 8, 43 ¢Í§¡Òúѹ·Ö¡¢Íé ÁÙÅ, 6 àµÁç , 67 ¢Í§¡Òú¹Ñ ·Ö¡áºº¹ÍÃÁì ÍÅäÅ«ì (ND), 6 ä´ºµÔ , 8, 45 Ê໡µÃÑÁ¡ÓÅ§Ñ , 20, 55, 103, 130, 147ªÍè §Ê­Ñ ­Ò³ÍèÒ¹, 4 ¿§˜ ¡ìªÑ¹ ¢¹ÑŒ º¹Ñ ä´, 23·ÒÃìࡵç , 53 ¢éͼ´Ô ¾ÅÒ´, 6 ·Õà‹ ËÁÒз‹ÊÕ Ø´, 47 ¤ÇÒÁ˹Òá¹è¹¤ÇÒÁ¹Òè ¨Ð໚¹áººà¡ÒÊàì «ÂÕ ¹, »ÃÐÊÔ·¸¼Ô Å, 122 55, 78, 103, 139, 147 Ẻ GPR, 13, 45 «§Ô ¡,ì 20 ¶èÒÂâ͹, 13, 24, 46, 117, 138 Ẻ h1 = 1, 52 àÅ¢ªÕŒ¡ÓÅ§Ñ , 8 â¤Ã๤à¡ÍÃàì ´ÅµÒ, 81 Ẻ·ÒÃìࡵç ੾ÒÐ, 53 Ẻ¾Å§Ñ §Ò¹Ë¹‹Ö§Ë¹èÇÂ, 53 ÀÒÇÐ, 22 ẺâÁ¹¡Ô , 49, 104, 133, 148 ¡Òõ´Ô µÒÁ, 22 Ẻ PR, 12 ¡Òú¹Ñ ·Ö¡áººá¹Çµ§ÑŒ , 44

¡ÒÃä´Áé Ò, 22 Ãкº¡ÒÃ¨Ñ´à¡ºç ¢éÍÁÅÙ ´Ô¨·Ô ÅÑ , 3 ¡ÒÃä´éÁÒẺÊÁºÙóì, 34 Ẻ¨ÓÅͧ, 4ÃËÑÊ (0, G/I), 166–167 ÃкºÊÍ‹× ÊÒôԨԷÑÅ, 17 ÃٻẺ NRZI, 4, 151ÃËÊÑ RLL, 3, 91, 151–167 ISI, 152 ÅӴѺ¢éͼԴ¾ÅÒ´, 93 ¡ÒÃÍ͡Ẻ, 162–164 Í¹Ô ¾µØ ·Õ¶‹ ¡Ù µÍé §, 94 ¤ÇÒÁ˹Òá¹è¹¡ÒúÃè,Ø 155 ¤ÇÒÁ¨,Ø 154–155 ǧ¨Ã VCO, 18 µÒÃÒ§¤é¹ËÒ, 152, 164 ǧ¨Ã¡Ãͧ ºÔµÊèÇ¹à¡¹Ô , 153 ¾ÒÃÒÁàÔ µÍÃ,ì 151 ¢Íé ¼´Ô ¾ÅÒ´¡Ò÷ӹÒÂ, 118 ·Ó¹ÒÂ, 117 ÃËÑÊ (0, G/I), 166 ·Ó¹ÒÂ˹֋§¢ŒÑ¹áººàªÔ§àÊé¹, 118 ¼èÒ¹µ‹Ó, 4 ÃËÑÊ FM, 164 ÃËÊÑ MFM, 164 ¤ÇÒÁ¶‹ÕµÑ´, 20 ÃËÑÊ Miller, 164 Ż٠, 18 ÍѵÃÒ¢Òè ÇÊÒÃàªÔ§àÊ鹡ӡѺ, 155, 160 ǧ¨Ãª¡Ñ µÑÇÍÂèÒ§, 4, 18 ÍѵÃÒ¤ÇÒÁ˹Òá¹¹è , 155–156 ǧ¨ÃµÃǨËÒ, 4 ÍѵÃÒÃËÊÑ , 152 ¢Õ´àËÔÁà»Å‹Õ¹ à¤ÃÍ‹× §Ê¶Ò¹Ð¨Ó¡Ñ´, 156–158 োÍ× ¹ä¢ºÑ§¤Ñº ·Õ‹äÁÁè ËÕ ¹Çè ¤ÇÒÁ¨Ó, 31 ·Õ‹äÁÁè Õ˹èǤÇÒÁ¨ÓẺËÅÒÂÃдѺ, 34 ¨Ó¹Ç¹ÅÓ´ºÑ ¢éÍÁÙÅ, 153–154 ẺËÅÒÂÃдºÑ , 21 àÁ·ÃÔ¡«ì¡ÒÃà»ÅÂ‹Õ ¹Ê¶Ò¹Ð, 158–159 ẺÍÍè ¹, 38 ä·ÁÁ§‹Ô Ã¤Ô Ñ¿àÇÍÐÃ,Õ 152 Ẻᢧç , 38ÃËÊÑ RS, 3 ¢éͼ´Ô ¾ÅÒ´·Ò§àÇÅÒ, 18ÃËÑʤ͹âÇŪ٠ѹ, 69 ·‹ÕàËÁÒÐ·Ê‹Õ ´Ø , 69ÃËÑÊÁÍ´ÙàŪ¹Ñ , 151 ÅӴѺ·‹¤Õ ÇèÐ໚¹ÁÒ¡Ê´Ø (MLSD), 77 ÅӴѺàËÁÒз‹ÊÕ Ø´, 137

ÇàÕ ·ÍÃìºÔ, 12, 21, 69, 115 ¡Òú¹Ñ ·Ö¡áººá¹Ç¹Í¹, 6¤ÇÒÁ«ºÑ «Íé ¹, 80 àÍ¡à·È, 55, 104, 130¤ÇÒÁÅ¡Ö ¡ÒöʹÃËÊÑ , 80 ä´ºÔµ, 8¤ÇÒÁ¹èÒ¨Ð໹š ¢Í§¢Íé ¼Ô´¾ÅÒ´ÅÓ´ºÑ , 88 乤ÇÔµÊ,ì 20 »ÃÐÊ·Ô ¸ÀÔ Ò¾, 87 乤ÇÔµÊÍì Ø´Á¤µ,Ô 12 ǧ¨ÃµÃǨËÒÅӴѺ, 69 ÊÑ­­Ò³Ãº¡Ç¹, 11, 20, 21, 45, 68, 93 ÍÅÑ ¡ÍÃ·Ô ÖÁ, 69, 75–80 à¤ÃÍ‹× §Ê¶Ò¹Ð¨Ó¡Ñ´, 70–72 ¡ÒâÂÒÂ, 45, 66 á¼¹ÀÒ¾à·ÃÅÅÔÊ, 70, 72–75 ¡Òâ֌¹ÍÂèÙ¡ºÑ Ẻ¢Íé ÁÅÙ , 138–140 ÊÑ­Åѡɳì, 21 ¡Ò÷ӹÒÂ, 117, 141ǧ¨Ã¶Í´ÃËÊÑ ¨µÔ àµÍÃì¢Í§ÊÍ׋ º¹Ñ ·Ö¡, 55, 61, 103, 107, ÁÍ´à٠Ū¹Ñ , 4 á¡é䢢éͼ´Ô ¾ÅÒ´, 4 138, 139ǧ¨ÃÁÍ´àÙ ÅàµÍÃ,ì 4, 5 ·‹Õ¢Ö¹Œ ÍÂè¡Ù ѺẺ¢éÍÁÙÅ, 138ǧ¨Ãà¢Òé ÃËÑÊ ·Í‹Õ ÂÙ¹è ͡ᶺ¤ÇÒÁ¶Õ‹, 11, 20 ¡Íè ¹, 91 ÀÒÂã¹Ç§¨Ãª¡Ñ µÇÑ ÍÂèÒ§, 18 ÁÍ´à٠Ūѹ, 3 ÊÕ¢ÒÇ, 60, 119 á¡äé ¢¢éͼ´Ô ¾ÅÒ´, 3 à¡ÒÊìÊÕ¢ÒÇ, 69 à¡ÒÊÊì Õ¢ÒÇẺºÇ¡, 20, 55, 66, 75, 99,ʶһµ˜ ¡ÃÃÁªèͧÊÑ­­Ò³ÍèÒ¹, 11ÊÀÒ¾¤ÇÒÁ໚¹áÁèàËÅ¡ç , 1, 139, 152 103, 115, 138ÊÀҾźÅÒé §áÁèàËÅ¡ç , 2, 5 ẺÊÕ, 93, 99, 116, 138 Ê໡µÃÑÁ¤Òè ÈÙ¹Â,ì 8, 44, 68 ËÅÑ¡¡ÒÃàª§Ô µŒ§Ñ ©Ò¡, 119, 142ÊÀÒ¾ãËé«ÁÖ ¼èÒ¹ä´,é 3 ÍͿ૵ÊÁ¡ÒùÍÃÁì ÍÅ, 119 ·Ò§¤ÇÒÁ¶‹,Õ 22, 35Ê­Ñ ­Ò³¾ÑÅÊì ·Ò§à¿Ê, 21, 22, 33à»ÅÕ‹ ¹Ê¶Ò¹Ð, 6, 55, 103, 130, 147 ÊÁ¡ÒÃ»ÃºÑ ¤Òè , 24, 28¡Òú¹Ñ ·Ö¡áººá¹ÇµÑŒ§, 6 ·Ò§àÇÅÒ, 20, 33

ÍѵÃÒ¡Òê¡Ñ µÇÑ ÍÂÒè §, 37 ¨Ø´àʶÕÂÃÀÒ¾, 32áººà¡¹Ô ¨ÃÔ§, 37 à˵ءÒó¢ì Íé ¼Ô´¾ÅÒ´, 91ÍѵÃÒ¡ÒÃÅÙèà¢Òé , 22–25, 28, 38 ¡ÒÃÇÔà¤ÃÒÐË,ì 91–111ÍѵÃÒ¢Íé ¼´Ô ¾ÅÒ´ºÔµ (BER), 47 ¡ÒÃÇÔà¤ÃÒÐËìÃÐÂзҧ·¹Õ‹ éÍÂÊ´Ø , 104–107굄 ÃÒÃËÊÑ , 69, 152, 154, 156굄 ÊËÊÁÑ ¾Ñ¹¸,ì 49, 60, 100, 119, 142 ¤ÇÒÁÊÁÑ ¾Ñ¹¸ìÃÐËÇèÒ§ SNReff áÅÐ BER, 107–109ÍÅÑ ¡ÍÃÔ·ÁÖ ¤ÇÒÁËÁÒÂ, 93PDNP, 140–144 ¹ÂÔ ÒÁ, 95PSPDNP, 144–146 ÃËÑÊ RLL, 91ÇàÕ ·ÍÃìºÔ, 69–80, 122 ÃÐÂзҧ»ÃÐÊ·Ô ¸Ô¼Å, 99–103Ẻ»ÃºÑ µÇÑ , 143 ÃÐÂзҧ»ÃÐÊ·Ô ¸Ô¼Å¡ÓÅѧÊͧ, 101Í¤Õ ÇÍäÅà«ÍÃì, 4, 12, 47, 53, 66, 104 ·‹¹Õ éÍÂÊ´Ø , 101굄 ÃÒ¡ÒÃÅàÙè ¢éÒ, 67 ÃÐÂзҧÂؤÅÔ´, 97–99Ẻ zeroforcing, 138 ÃÐÂÐ·Ò§Â¤Ø Å´Ô ¡ÓÅ§Ñ Êͧ, 97Ẻ¼ÅµÍºÊ¹Í§ºÒ§ÊÇè ¹ (PR), 43, 68, ·Õ¹‹ Íé ÂÊØ´, 99115 ǧ¨Ãà¢éÒÃËÊÑ ¡Íè ¹, 91Ẻ¼ÅµÍºÊ¹Í§àµÁç , 67 ẹ´ìÇÔ´·ìà¤ÃÍ‹× §Ê¶Ò¹Ð¨Ó¡Ñ´, 70, 71 ¢Í§Å»Ù , 22, 28ÃËÊÑ RLL, 156 à¡¹Ô à»š¹ÈÙ¹Âì, 20ǧ¨ÃµÃǨËÒÇÕà·ÍÃìºÔ, 71 Ẻ¢éÍÁÙÅ, 138à·¤¹¤Ô ¡ÒûÃÐÁÒ³¤èÒ㹪Çè §, 37 Ẻ¨ÓÅͧà¾Íà«ÍÃìäÇàÇÍÃäì ·ÁÁ‹Ô§Ã¤Ô Ñ¿àÇÍÃÕ, 38 ¡Ò÷ÓãËéÊÑ­­Ò³Ãº¡Ç¹à»¹š ÊÕ¢ÒÇ, 117Ẻ·Ó§Ò¹«ÓŒ , 40 ¡Ò÷ӧҹ¢Í§Ç§¨Ã PLL, 23àÊé¹·Ò§·Õ‹ §Ñ ÁÕªÇÕ µÔ ÍÂ,Ùè 80, 92 ¡ÒÃÍ͡Ẻ·ÒÃàì ¡µç , 47àÊé¹â¤é§Ã»Ù µÑÇàÍÊ, 21, 30–34 ªÍè §ÊÑ­­Ò³¨Ø´ÊÁ´ØÅ, 33 GPR ẺÊÁÁÙÅ, 93

¡Òúѹ·¡Ö ÃкºáÁàè ËÅç¡, 9 ·Õ‹äÁµè Íè à¹×͋ §·Ò§àÇÅÒẺÊÁÁÅÙ , 66 Í´Ø Á¤µÔ, 12–13, 19 àÊÁÍ× ¹¨ÃÔ§, 11–12 Ãкº¡Òè´Ñ à¡ºç ¢éÍÁÙÅ´¨Ô Ô·ÅÑ , 3á¼¹ÀÒ¾à·ÃÅÅÔÊ, 70, 72, 91, 115, 141ä«à¤ÔÅÊÅÔ», 33ä·ÁÁ§‹Ô ¨µÔ àµÍÃì, 18, 20, 39ä·ÁÁԋ§¿§˜ ¡ªì ¹Ñ , 30 Ẻ¹ÍÃÁì ÍÅäÅ«ì, 32ä·ÁÁ§‹Ô ÃԤѿàÇÍÃ,Õ 12, 17–41 ¡ÒÃÍ͡Ẻ¤èÒ¾ÒÃÒÁàÔ µÍÃì, 23–34 ÀÒÇСÒõ´Ô µÒÁ, 22 ÀÒÇСÒÃä´Áé Ò, 22 Ẻ´Ô¨·Ô ÑÅ, 37 Ẻ·Õ㋠ª¡é ¹Ñ ·Ç‹Ñ ä», 18–23 »ÃÐÊ·Ô ¸ÀÔ Ò¾, 34–37 Ẻ¹ÔùÂÑ , 18 Ẻ»ÃÐÁÒ³¤èÒ㹪èǧ, 37 ẺÍØ»¹ÑÂ, 18