Due Friday, Nov. 4, 2011
A. Write a mathematical equation for the Fourier transform of the following wavelets. Write the equation in the form of sums of complex exponentials.
(2,-1,3)
(4,0,0)
(-2,1,4,-3,6)
B. Which of the wavelets from part A is minimum phase? Why?
C. Write an equation for, and plot of graph of, the power spectrum of the following wavelets:
(3,1)
(2,2)
D. Write a matlab script that calculates the power spectrum of a wavelet and verify your answers for part C by plotting the power spectra. (You may use any m-files from the signal processing toolbox or SeismicLab.)