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Convolution

Convolution. 1D and 2D signal processing. Consider the delta function. Time-shift delta. Sample the input (it’s a convolution!). What does sampling do to spectrum?. What is the spectrum?. Fourier Coefficients. CTFT. Euler’s identity. Sine-cos Rep. Harmonic Analysis.

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Convolution

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  1. Convolution 1D and 2D signal processing

  2. Consider the delta function

  3. Time-shift delta

  4. Sample the input (it’s a convolution!)

  5. What does sampling do to spectrum?

  6. What is the spectrum?

  7. Fourier Coefficients

  8. CTFT

  9. Euler’s identity

  10. Sine-cos Rep

  11. Harmonic Analysis

  12. Convolution=time-shift&multi

  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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