Electrical Engineering 431
Problem Set IV
Due: February 23, 2004
Reading
: OSB: Chapter 7
4.1
Filter Design
Your boss wants you to design a digital
fi
lter according to the following speci
fi
cations.
(a)
Design a Chebyshev
fi
lter using the bilinear transform that meets these speci
fi
cations. Use
Matlab to show the frequency response and the pole-zero plot.
(b)
Use the Parks-McClellan algorithm to design a zero-phase FIR
fi
lter that meets these
speci
fi
cations.
(c)
Compare the magnitude and phases of your two
fi
lters.
(d)
What are the implications of the orders of the
fi
lters you found? In particular, which is
computationally more ef
fi
cient (in other words, which requires fewer computations per
output value)?
4.2
Bilinear Transforms
An integrator has the transfer function
. We form a discrete-time
fi
lter “equivalent”
to the integrator by using the bilinear transform.
(a)
What is the discrete-time transfer function
and the corresponding unit-sample re-
sponse?
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- Spring '07
- Abercrombie
- Electrical Engineering, Digital Signal Processing, Signal Processing
-
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