EECS 152A/ CSE 135A Fall 2016
Homework #1
(Homework can be handed in before class, emailed, or uploaded onto Canvas by 9:30
am on Oct 6th)
1. Examine the following systems and deduce if they are causal, memoryless, time
invariant, linear and stable or not
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 #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
EECS 152A/CSE135A Fall 2016
Solution to Homework #2
MATLAB Section
Write MATLAB programs for the following projects. Include a copy of your programs in
your report along with the requested results (numbers, figures, etc.).
1. Write a MATLAB function to de
EECS 152A/CSE135A Fall 2016
Home Work #4 Solutions
1. Consider an FIR filter with H ( z ) 2 0.3z 2 2 z 4
(a)
(b)
(c)
(d)
(e)
(f)
Is the filter linear-phase? What type is it?
Calculate the magnitude response of the filter.
Calculate the phase response of t
EECS 152a/ CSE 135a Fall 2016
Homework 5 Solutions
Topics: IIR Filter Design and Quantization
1. Write a MATLAB program for the following project. Include a copy of your
program in your report along with the requested results (numbers, figures, etc.).
Usi
EECS 152A/ CSE 135A Fall 2016
Homework #1 Solution
1- Examine the following systems and deduce if they are causal, memoryless, time invariant,
linear and stable or not.
(a) y n cos x n
Causal, Memoryless (static), Time invariant, Nonlinear system, Stable
EECS 152A/ CSE 135A Fall 2016
Homework #1 Solution
1- Examine the following systems and deduce if they are causal, memoryless, time invariant,
linear and stable or not.
(a) y n cos x n
Causal, Memoryless (static), Time invariant, Nonlinear system, Stable
Name:
EECS152a/CSE 135a- Fall 2016
ID:
Solution to Homework #6
1. We wish to design a digital bandpass filter from a second-order analog
lowpass Butterworth filter prototype using the bilinear transformation.
The cutoff frequencies (measured at the half-p
EECS 152a/ CSE 135a Fall 2016
Homework 5
Due: Tuesday Nov 22nd at 9:30 am
Topics: IIR Filter Design and Quantization
1. Write a MATLAB program for the following project. Include a copy of your program
in your report along with the requested results (numbe
EECS 152a/ CSE 135a Fall 2016
Homework 3 with Solutions
Due: This home work is not due and is intended for extra practice before the midterm
1. For each of the following system functions Hk(z), state whether it is a minimumphase, maximum-phase or a mixed
EECS 152A/CSE135A Fall 2016
Home Work #4
Due: Thu Nov 10 at 9:30
1. Consider an FIR filter with H ( z ) 2 0.3z 2 2 z 4
(a)
Is the filter linear-phase? What type is it?
(b)
Calculate the magnitude response of the filter.
(c)
Calculate the phase response of
Name:
ID:
EECS 152A/CSE135A Fall 2016
Homework #2
Due: Thu Oct 20th at 9:30 am
MATLAB Section
Write MATLAB programs for the following projects. Include a copy of your programs in
your report along with the requested results (numbers, figures, etc.).
1. Wr
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