Convolution PowerPoint PPT Presentation

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Title: Convolution


1
Convolution
  • 1D and 2D signal processing

2
Consider the delta function
3
Time-shift delta
4
Sample the input (its a convolution!)
5
What does sampling do to spectrum?
6
What is the spectrum?
7
Fourier Coefficients
8
CTFT
9
Eulers identity
10
Sine-cos Rep
11
Harmonic Analysis
12
Convolutiontime-shiftmulti
13
Convolution Thm
multiplication in the time domain convolution
in the frequency domain
14
Sample
15
Spectrum reproduced
spectrum to be reproduced at intervals
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