## Due Date: 8th June 2011 (till 23:59)## For the theoretical parts of the solutions either type them and send
them as a pdf file, or write them down as a hard copy and deliver it in
the box near the lecture room (48-462), the box is labelled "Exercises /
AG. Prof. Breuel". ### Thomasson-Lanczos-Cooley-Tukey-Gauss Lemma (30 points)
State and prove the TLCTG Lemma. ### Fourier Transform of a Gaussian (30 points)
Derive the mean and variance of the Fourier transform of a Gaussian. ### Translation (30 points)
Given
a signal s(x), assume it is translated by an amount d. This
corresponds to a change in phase in the corresponding Fourier transform
F[s](k). Derive the transformed signal. |