CSE135A/EECS152A: HOMEWORK #5
Due: October 30, 2015
Consider discrete-time LTI systems that are represented by
QM
k=1
H() = QN
1 ck ej
k=1 (1
dk ej )
1) For a system with M = 0, N = 2 and d1 = 0.5ej/2, d2 = 0.5ej/2
a) Find the gain in dB.
b) Plot the ga
CSE135A/EECS152A: HOMEWORK #8
Due: November 20, 2015
1) Let a be a real constant.
a) Show that if the z-transform of x(n) is X(z), then the z-transform of an x(n) is X(a1 z).
b) Suppose that the z-transform of the impulse response h(n) of a LTI system is
CSE135A/EECS152A: HOMEWORK #9
Due: December 4, 2015
1) Define the discrete-time signals s1 (n) and s2 (n) by
s1 (n) = (n) 2(n 1) + 2(n 2)
s2 (n) = (n) (n 1) + 0.5(n 2)
Let T be a system that maps an input signal x(n) to an output signal y(n) according to