Code for Problem A.1
L=256; % length of input dc=input('Enter DC Input='); x=ones(L,1)*dc; u=zeros(L,1); % states are zero v=zeros(L,1); y=zeros(L,1); % simulate structure for i=2:L u(i)=u(i-1)+(x(i)-y(i-1); % first block v(i)=v(i-1)+(u(i)-y(i-1); % secon
Homework #4 Solution Key
For a ) consider relation
=
R R 1 where = 4 B 10 2
A.1 When is decimation and expansion commutative? From B.Porat p.464 we have the definitions for expansion and decimation: x[nM / L] nM divisible by L cfw_x( M ) ( L ) = 0 else x[
A.1) 1. 2.
The Fourier transform is just an exercise in math. It is: Xc()=Sc()(1+a*e-j) The Fourier transform of the sequence x[n] is an application of the sampling theorem:
X (e jw ) =
3.
j 1 w + 2n S c ( j T )[1 + ae T n =
w + 2n T
]
Result in 2.) is a
Problem Set 2 Solution
3.2) (15 Points) Since
X f ( ) = 1 it must be that x[ n] = [n] .
Hence sampling x(t) must produce
[ n] and since e 0.02t > 0 for
2
all t the defining term is sinc(t). For the above result to hold we must have at least T=1. 3.5) (15
Problem Set 1 Solution Key
Explanation: - Impulse response h1 is invariant because it only depends on the shift of the delta function. It does not depend on n or k explicitly. We find the condition cfw_y(t-t0),x(tt0)for time invariance satisfied when we a
University of Minnesota Dept. of Electrical and Computer Engineering
EE 4541: Digital Signal Processing
Fall 2006 Exam 1 October 26, 2006 _
Name:_ Student ID:_ Question 1 Question 2 Question 3 TOTAL /10 /10 /10 /30
Solve the three problems that appear on
University of Minnesota Dept. of Electrical and Computer Engineering
EE 4541: Digital Signal Processing
Fall 2003 Exam 2 December 4, 2003 _
Name:_ Student ID:_ Question 1 Question 2 Question 3 TOTAL /8 /8 /14 /30
Solve the three problems that appear on th
University of Minnesota Dept. of Electrical and Computer Engineering
EE 4541: Digital Signal Processing
Fall 2003 Exam 1 October 23, 2003 _
Name:_ Student ID:_ Question 1 Question 2 Question 3 TOTAL /10 /10 /10 /30
Solve the three problems that appear on