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Digitalsignalprocessing
Digitalsignalprocessing(DSP)isconcernedwiththerepresentationof
\o"Signal(electronics)"
signals
byasequenceofnumbersorsymbolsandtheprocessingofthesesignals.Digitalsignalprocessingand
\o"Analogsignalprocessing"
analogsignalprocessing
aresubfieldsof
\o"Signalprocessing"
signalprocessing
.DSPincludessubfieldslike:
\o"Audiosignalprocessing"
audio
and
\o"Speechsignalprocessing"
speechsignalprocessing
,sonarandradarsignalprocessing,sensorarrayprocessing,spectralestimation,statisticalsignalprocessing,
\o"Digitalimageprocessing"
digitalimageprocessing
,signalprocessingforcommunications,controlofsystems,biomedicalsignalprocessing,seismicdataprocessing,etc.
ThegoalofDSPisusuallytomeasure,filterand/orcompresscontinuousreal-worldanalogsignals.Thefirststepisusuallytoconvertthesignalfromananalogtoadigitalform,bysamplingitusingan
\o"Analog-to-digitalconverter"
analog-to-digitalconverter
(ADC),whichturnstheanalogsignalintoastreamofnumbers.However,often,therequiredoutputsignalisanotheranalogoutputsignal,whichrequiresa
\o"Digital-to-analogconverter"
digital-to-analogconverter
(DAC).Evenifthisprocessismorecomplexthananalogprocessingandhasa
\o"Discretesignal"
discretevaluerange
,theapplicationofcomputationalpowertodigitalsignalprocessingallowsformanyadvantagesoveranalogprocessinginmanyapplications,suchas
\o"Errordetection"
errordetectionandcorrection
intransmissionaswellas
\o"Datacompression"
datacompression
.
DSP
\o"Algorithm"
algorithms
havelongbeenrunonstandardcomputers,onspecializedprocessorscalled
\o"Digitalsignalprocessor"
digitalsignalprocessors
(DSPs),oronpurpose-builthardwaresuchas
\o"Application-specificintegratedcircuit"
application-specificintegratedcircuit
(ASICs).Todaythereareadditionaltechnologiesusedfordigitalsignalprocessingincludingmorepowerfulgeneralpurpose
\o"Microprocessor"
microprocessors
,
\o"Field-programmablegatearray"
field-programmablegatearrays
(FPGAs),
\o"DigitalSignalController"
digitalsignalcontrollers
(mostlyforindustrialappssuchasmotorcontrol),and
\o"Streamprocessing"
streamprocessors
,amongothers.
OperationalAmplifierCircuits
Wehavebuiltvoltageandcurrentamplifiersusingtransistors.Circuitsofthiskindwithniceproperties(highgainandhighinputimpedance,forexample),packagedasintegratedcircuits(ICs),arecalledoperationalamplifiersoropamps.Theyarecalled``operational''amplifiers,becausetheycanbeusedtoperformarithmeticoperations(addition,subtraction,multiplication)withsignals.Infact,opampscanalsobeusedtointegrate(calculatetheareasunder)anddifferentiate(calculatetheslopesof)signals.
Figure1:Acircuitmodelofanoperationalamplifier(opamp)withgainandinputandoutputresistancesand.
AcircuitmodelofanoperationalamplifierisshowninFigure
1
.Theoutputvoltageoftheopampislinearlyproportionaltothevoltagedifferencebetweentheinputterminalsbyafactorofthegain.However,theoutputvoltageislimitedtotherange,whereisthesupplyvoltagespecifiedbythedesigneroftheopamp.Therangeisoftencalledthelinearregionoftheamplifier,andwhentheoutputswingstoor,theopampissaidtobesaturated.TheoutputrangesoftheamplifierswebuiltaspartofLab
3
weresimilarlylimitedbythesupplyvoltage.
Anidealopamphasinfinitegain(),infiniteinputresistance(),andzerooutputresistance().Youshouldusethesetwoassumptionstoanalyzetheopampcircuitscoveredintheassignmentsbelow.Aconsequenceoftheassumptionofinfinitegainisthat,iftheoutputvoltageiswithinthefinitelinearregion,wemusthave.Arealopamphasagainontherange-(dependingonthetype),andhenceactuallymaintainsaverysmalldifferenceininputterminalvoltageswhenoperatinginitslinearregion.Formostapplications,wecangetawaywithassuming.
Figure2:(a)Schematicsymbolforanopamp.
(b)ConnectiondiagramfortheLM741andLF4118pindualinlinepackages(DIPs).
Wewillnotmakeuseofthenull(LM741)/balance(LF411)pins.PinslabeledNCarenotconnectedtotheintegratedcircuit.
Wewillusetwooperationalamplifiersinourlaboratoryexercises,theLM741,ageneralpurposebipolarjunctiontransistor(BJT)basedamplifierwithatypicalinputresistanceof2
M,andtheLF411,withfieldeffecttransistors(FETs)attheinputsgivingamuchlargerinputresistance().DetaileddatasheetsforthesedevicesareavailablefordowloadattheNationalSemicondictorwebsite(Ofthetwo,theLF411comesclosesttosatisfyingourtwoassumptionsassociatedwithidealopampbehavior.ItcostsmorethantheLM741(awhopping$0.61vs.$0.23asofspring2001).Theschematicsymbolforanopampandtheconnectiondiagramforthechips,calleddualinlinepackages(DIPs),wewillbeusingareshowninFigure
2.
InvertingAmplifier
Figure24:Invertingamplifiercircuit
AninvertingamplifiercircuitisshowninFigure
24
.
Showthatthegainoftheamplifieris
NoninvertingAmplifier
Figure25:Noninvertingamplifiercircuit.
AnoninvertingamplifiercircuitisshowninFigure
25
.
Showthatthegainof
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