ECE 220
Multimedia Signal Processing
September 5, 2006
Fall 2006
Homework 3
Assigned:
September 5, 2006
Due:
Wednesday, September 13, by 4:30 pm in the 220 lockbox on the 2nd floor
of Phillips
Office hours:
See the web page for everyone’s office hours:
http://people.ece.cornell.edu/~hemami/ece220
Goals & concepts:
Convolution, FIR filter definition and operation, superposition, the impulse
response, linearity and time invariance.
Relevant text sections: Chapter 5 but NOT 5.4
Suggested Practice Problems. NOT GRADED but suggested if you need more practice or review.
5.7, 5.9, 5.12, 5.13
From Chapter 5 (FIR Filters).
Helpful problems are from the CD, under “Homework Problems with Solutions” —
Convolution & FIR filters: “Output of FIR system using convolution”, “Find impulse response of
an FIR Filter”, “Find output of FIR filter given coefficients”
LTI Systems: “Linearity, time invariance, and causality”, “Properties of LTI Systems”, “Test for
L&TI”
1.
Practice with the unit step function, and the very important finite sum formula.
5.6
2.
Practice with convolution and filter I/O.
5.10, and then:
(c)
Plot both the input cosine and output cosine as given in the table in the problem, for
.
(d) Which of the following impulse responses is correct for the system as described (
A
is
some constant)?
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 Fall '05
 JOHNSON
 Image processing, Digital Signal Processing, Signal Processing, Impulse response, decimation filter

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