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**Unformatted text preview: **in the frequency domain (describe the general shape)? Answer : Linear convolution is performed by convolving the time-domain signal with a DT triangle filter. In frequency, we multiply the signals DTFT with a periodic sinc 2 . Why is it so easy to compute the DTFS of a sinusoid? Answer : The DTFS of a sinusoid is non-zero only at the frequency of the sinusoid. Thus, there will be only two non-zero DTFS coefficients, and these can be computed via observation. How many samples of a CT signal do we need to resolve spectral features that are 10 Hz apart? Answer : We need at least 2 f s / 10 samples. How do we perform linear convolution via the DFT? Answer : We perform the following steps: (1) zero-pad both signals to length N 1 + N 2 1, where N 1 and N 2 are the lengths of the two signals; then (2) compute the DFT of each zero-padded signal; then (3) multiply the DFTs; and the (4) perform an inverse DFT of the product....

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