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37 M.H. Perrott©2007Downsampling, Upsampling, and Reconstruction, Slide 37 Downsampling, Upsampling, and Reconstruction A-to-D and its relation to sampling Downsampling and its relation to sampling Upsampling and interpolation D-to-A and reconstruction filtering Filters and their relation to convolution Copyright © 2007 by M.H. Perrott All rights reserved.

38 Hülya Yalçın ©38

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41 Hülya Yalçın ©41 Understanding how Fourier Series (FS) goes to Fourier Transform (FT)... In time domain, making a signal periodic corresponds to convolving it with a COMB function. The fourier transform of a COMB function is again a COMB function. So, in time domain it corresponds to sampling the frequency domain signal!

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