Convolution of Signals in MATLAB
Oct 19, 2015
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ConvolutionofSignalsinMATLAB
RobertFrancis
August 29, 2011August29,2011
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Review of ConvolutionReviewofConvolution
dthxthtxty )()()(*)()(
9/12/2011Visual example copied from Wikipedia
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Review of ConvolutionReviewofConvolution
9/12/2011
Smith, http://www.dspguide.com/ch6/2.htm
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Generating Time Vectors in MatlabGeneratingTimeVectorsinMatlab
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Generate Square WaveGenerateSquareWave
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Plot Square WavePlotSquareWave
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Adjust Magnitude and ReplotAdjustMagnitudeandRe plot
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Nyquist Sampling TheoremNyquist SamplingTheorem
If a continuous time signal has no frequencyIfacontinuoustimesignalhasnofrequencycomponentsabovefh,thenitcanbespecifiedby a discrete time signal with a samplingbyadiscretetimesignalwithasamplingfrequencygreaterthantwicefh.
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Define Nyquist Sampling Time VectorDefineNyquist SamplingTimeVector
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Generate Nyquist Sampling Square WaveGenerateNyquist SamplingSquareWave
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Plot Nyquist Square WavePlotNyquist SquareWave
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Define Undersampled Time VectorDefineUndersampled TimeVector
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Generate Undersampled Square WaveGenerateUndersampled SquareWave
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Plot UndersampledPlotUndersampled
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Convolution With Linear Decay SignalConvolutionWithLinearDecaySignal
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Linear Decay SignalLinearDecaySignal
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Plot of ConvolutionsPlotofConvolutions
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Convolution with Exponential Decay SignalConvolutionwithExponentialDecaySignal
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Exponential Decay SignalExponentialDecaySignal
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Plot of ConvolutionsPlotofConvolutions
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FFT of Signals in MATLABFFTofSignalsinMATLAB
RobertFrancis
August 31, 2011August31,2011
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Review of Fourier TransformReviewofFourierTransform
dtetxfX ftj 2)()(The Fourier Integral
DFT (Discrete Fourier Transform)
1
0
/2 ,...,2,1,N
n
Nknjnk NkexX
9/12/2011
