Transcription of Computing Fourier Series and Power Spectrum with …
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Computing Fourier Series and Power Spectrum with …
ComputingFourierSeriesand PowerSpectrumwithMATLABBy IntroductionFourierseriesprovidesan alternateway of representingdata:insteadof represent-ing the signalamplitudeas a functionof time,we represent the signalby how muchinformationis containedat di erent you ever watchedthe blink-ing lights on a stereoequalizerthenyou have seenFourieranalysisat represent whetherthe musiccontainslots of bassor ,a French Mathematicianwhoonceserved as a scienti cadvisertoNapoleon,is creditedwiththe discovery of the resultsthatnow bear his important in dataacquisitionjustas it is in you might want to boost the Power of the basson your stereoyou might wantto lterout highfrequencynoisefromthe nearby radiotowers in Needhamwhenyou are conductinga lab experiment. Fourieranalysisallows you to will describe someof the basicsof Fourierseriesand will showyou how you can it easyto translatea signalfromthe timedomainto the frequencydomain,one must understandhow to interpretthe datain the TheMathPartThissectionwill not providerigorousderivationsof Fourierseriesand it's proper-ties;thosetopicswill be coveredlaterin one of your the generalnatureof the Fourierseriesand how transformfu
2 Fourier Series for any time interval. We will discuss difierent time intervals later, but will use the one second interval for convenience at this point.
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