ECE 513 - DIGITAL SIGNAL PROCESSING
Cranos M. Williams
Assigned: September 6, 2012
HOMEWORK 3: DATE DUE SEPTEMBER 13, 2012
1. Sampling Bandpass Signals: (20 Pts) Consider the following baseband signal whose
spectrum is illustrated in Figure 1.
X a( F )
1
ECE 513 - DIGITAL SIGNAL PROCESSING
Cranos M. Williams
Assigned: August 30, 2012
HOMEWORK 2: DUE SEPTEMBER 6, 2012
1. Second Order Section : (20Pts) The zeros for a discrete time system are given by
q(1) = -1.0000
q(2) = -0.1455 + 0.9894i
ECE 513 - DIGITAL SIGNAL PROCESSING
Cranos M. Williams
SAMPLE EXAM 2:
NAME:
STUDENT ID:
1. Spectral Estimation: (20 Pts) Consider the following signal:
x(n) = cos(0 (n n0 )
(1)
USEFUL DTFT PROPERTIES:
h(n)ejo n H ( o ),
h(n n0 ) H ( )ejn0 ,
Frequency Shif
ECE 513 - DIGITAL SIGNAL PROCESSING
Cranos M. Williams
Assigned: September 13, 2012
HOMEWORK 4, DUE SEPTEMBER 20, 2012
1. DFT and IDFT As A Linear Transformation: (20 Pts) Consider the following sequence
3, 1, 0, 2, 1
x(n) =
(1)
(a) Use MATLAB to build th
ECE 513 - DIGITAL SIGNAL PROCESSING
Cranos M. Williams
Assigned: October 16, 2012
HOMEWORK 7, DUE OCTOBER 23, 2012
1. IIR Lattice Filters: (25 Pts) The system transfer function for an IIR digital lter is
given by
B (z )
(1)
H (z ) =
A(z )
where
B (z ) = 0
ECE 513 - DIGITAL SIGNAL PROCESSING
Cranos M. Williams
Assigned: August 16, 2012
HOMEWORK 1, DUE AUGUST 30, 2012
This homework involves some of the fundamental DSP concepts required as background for
ECE 513. These concepts will be used later in the cours
ECE 513 - DIGITAL SIGNAL PROCESSING
Cranos M. Williams
Assigned: October 9, 2012
HOMEWORK 6, DUE OCTOBER 16, 2012
1. FFT - Decimation in Time: (20 Pts) Assume that we are given a signal x(n) such that
x(n) = cfw_4, 2, 3, 0, 1, 3, 2, 4
for n = 0, . . . , 7
ECE 513 - DIGITAL SIGNAL PROCESSING
Cranos M. Williams
Assigned: September 27, 2012
HOMEWORK 5: DUE OCTOBER 3, 2012
1. Discrete Cosine Transform: (20 Pts)
This problem involves using the MATLAB routine fft to compute the DCT of a
sequence.
(a) The MATLAB
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