location of page: http://www.cse.ucsc.edu/classes/cmpe110/Spring97/handouts/hom3_97.html

Due: Thursday, April 24, 1996. Assignments are due at the beginning of class. Please put your full name, and the assignment number on the upper right of the assignment.

Problem 1) The impulse response of a linear time-invariant system is h[n] = 0 for n< 2, h[n] = 1 for n in {2, 3, 4}, h[n] = -2 for n in {5}, and h[n] = 0 for n > 5. Determine and carefully sketch the response of this system to the input x[n] = u[n-5] (recall that u[n] is the unit step sequence discussed in class.

Problems 2-4) Please complete the following exercises from your text: Gonzalez and Woods. 4.13, 4.14, 4.17.

Please complete the following exercises from Susie Wee

Problems 5-6) SW 1: a) plot the signal x = 1 2 3 5 7 9 10 10 7 5 7 9 10 9
consider the orthogonal transform matrix T = 1/2 [(1 1), (1, -1)],
b)What are the basis functions of T?
c) what is the block transform of the signal x?
d) Plot the reconstructed signal when only using the first (lowpass) basis function.

SW 2: a) Draw a block diagram of the MPEG video coder.
b) Briefly describe each operation in the coer (1-2) sentence per operation.

Copyright, Craig Wittenbrink, 1997.

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