EECS 250 Fall 2014
Homework 1
Due: Thu Oct 16 before class
1. An analog signal contains frequencies up to 10 kHz.
(a) What range of sampling frequencies allows exact reconstruction of this signal from
its samples
(b) Suppose that we sample this signal wit
EECS 250 Fall 2014
Homework 2
Due: Thu Oct 23 before class
1. Calculate and draw the magnitude response of a system with the following transfer
functions:
1 z 1
1 0.8z 1
1 z 4
b. H ( z )
1 0.8z 4
a.
H ( z)
2. Consider a stable and causal system with one
Name:
EECS250 Fall 2014
ID:
Homework #6
Due: Tue Dec 9th before class
1. We would like to design a causal 5-tap linear-phase FIR filter
approximating the following ideal filter using a Hamming window.
1 0 | < 0.2
() = cfw_
0 0.2 |
Find h(n) of the desig
Name:
EECS250 Fall 2014
ID:
Homework #5
Due: Tue Nov 25th before class
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.).
Using buttord and butter c
EECS250 Fall 2014
Homework 3
Due: Tue Oct 31st in class
1. Assume that a low pass filter has a zero at z = -0.7 and a pole at z = 0.8.
a) Find H(z) such that the magnitude response at frequency = 0 is 1.
b) Design a highpass filter from this filter. What
EECS 250 Fall 2016
Homework 1
Due: Thu Oct 8 before class
1. Given a continuous-time signal xa(t) with Xa(F) = 0 for |F|>B determine the minimum
sampling rate Fs for a signal ya(t) defined by
(a) xa(2t)
(b) xa(t)cos(7Bt)
2. The sampled sequence xa(nT) is
EECS 250 Digital Signal Processing I
Fall 2009 Homework 5
Due: Thurs. December 3
1. 4.2-15
2. 4.2-20
3. 5.3-22
4. 6.2-12
5. 6.3-28
6. 7.5-7
7. Write a Matlab m-le that generates the Vandermonde matrix A( ) of array response vectors for a
linear array whos
EECS 250 Digital Signal Processing I
Fall 2009 Homework 4
Due: Thurs. November 19
1. 4.2-4
2. 4.2-6
3. 4.2-14
4. 4.3-24
5. 4.3-25
6. Find the operator norm of a matrix A I mn where
R
is used for I m (the output space).
R
2
is used for I n (the input spac
EECS 250 Digital Signal Processing I
Fall 2009 Homework 3
Due: Thurs. October 29
1. 3.14-27
2. 3.14-28
3. 3.14-29
4. 3.15-30
5. 4.5-29
6. For the following matrix,
11
A= 2 1
41
1
1,
1
answer the following questions:
(a) Does the equation Ax = y have a sol
EECS 250 Digital Signal Processing I
Fall 2009 Homework 2
Due: Thurs. October 15
1. 2.3-39
2. 2.4-42
3. 2.5-43
4. 2.7-47
5. For parts (a) and (b) you may use Matlab if you wish.
(a) In I 2 , sketch the unit balls for the p-norms when p = 1, 1.5, 2, 3, .
R
EECS 250 Digital Signal Processing I
Fall 2009 Homework 1
Due: Thurs. October 8
1. What is your hometown and undergraduate university?
2. What are your favorite non-academic activities or hobbies?
3. Tell me something interesting about yourself that most