ECE 220
Multimedia Signal Processing
November 21, 2006
Fall 2006
(Mini) Homework 12
Assigned:
Tuesday, November 21, 2006
Due:
Wednesday, November 29, by 4:30 pm in the 220 lockbox on the 2nd floor
of Phillips.
NOTE THAT you will only turn in problems 1 and 2 to be
graded. You are responsible for the rest of the material in the
remaining problems, but they will not be graded.
Office hours:
See the web page for everyone’s office hours:
http://people.ece.cornell.edu/~hemami/ece220
Goals & concepts:
Getting more practice with thinking of CT signals in the frequency domain
via applications such as modulation; understanding sampling &
reconstruction of arbitrary signals. Understanding and analysis of practical
interpolation. Frequencydomain manipulation to understand and interpret
practical sampling and interpolation; sampling and quantization tradeoffs.
Relevant text sections: Chapter 12. Sections 121 and 122 are essentially review of topics and
concepts we’ve discussed in class; Section 123 discusses sampling and
reconstruction for arbitrary signals.
Helpful problems are from the CD, under “Homework Problems with Solutions” —
Chapter 12 Filtering, Modulation, and Sampling
“Fourier transform of impulsetrain sampling”
“Ideal Sampling and Reconstruction of a Bandlimited Signal”
“Impulse Sampling and Reconstruction”
“Impulse train sampling and reconstruction” (this one has aliasing)
“Sampling and reconstruction with ideal LPF”
1.
GRADED
Ideal Bandpass Filter
. 12.1
2.
GRADED
Using the CTFT to analyze a system’s behavior (a modulation system)
. 12.4 but
not part (d).
THE REMAINDER OF THESE PROBLEMS ARE NOT GRADED. You are responsible for
the material! It will be on the final exam!
3.
Drawing the spectrum for sampling.
12.12 Note that in this problem, the conversion from a
CT signal to a DT signal is skipped. If we wanted to do this conversion, we would insert a
“Magic Box” and an “Inverse Magic Box” before the LTI system (which is simply an inter
polator).
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 Fall '05
 JOHNSON
 Digital Signal Processing, Signal Processing, Lowpass filter, sampling rate

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