Page 197 - DSP Integrated Circuits

182 Chapter 4 Digital Filters

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and Signal Processing, Vol. ASSP-32, No. 5, pp. 1023-1036, Oct. 1984.
[231 Saramaki T., Neuvo Y., and Mitra S.K.: Design of Computationally Efficient
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No. 1, pp. 70-88, Jan. 1988.
[24] Sedra A.S. and Brackett P.O.: Filter Theory and Design: Active and Passive,
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Cosine Transforms, Linkoping Studies in Science and Technology, Diss. No.
143, Linkoping University, Sweden, May 1986.
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Englewood Cliffs, New Jersey, 1988.
[27] Taylor F.J.: Digital Filter Design Handbook, Marcel Dekker, New York, 1983.
[28] Vaidyanathan P.P. and Nguyen T.Q.: A "Trick" for Design of FIR Half-Band
Filters, IEEE Trans, on Circuits and Systems, Vol. CAS-34, No. 3, pp. 297-
300, March 1987.
[29] Vaidyanathan P.P.: Multirate Digital Filters, Filter Banks, Polyphase
Networks, and Applications: A Tutorial, Proc. IEEE, Vol. 78, No. 1, pp. 56-93,
Jan. 1990.
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PROBLEMS
4.1 (a) List the major features of FIR filters.
(b) List the pros and cons of recursive realizations of FIR filters.
(c) List the major features of IIR filters.
(d) List the major features of wave digital filters.
(e) What are the major advantages of lattice compared to ladder wave
digital filters?

4.2 State necessary and sufficient conditions for an FIR filter to have linear
phase.
4.3 Show that a lowpass FIR filter can not have an antisymmetric impulse
response.
4.4 Determine both the phase response and group delay functions for an FIR
filter that has the impulse response a, b, c, 6, a, 0, 0,....
4.5 Determine the magnitude and phase responses as well as the group delay for
the following FIR filter which is called a Hanning filter:

4.6 An FIR lattice filter that is part of the RLS lattice filter discussed in Chapter
3 is described by the following difference equations: