B. P. Lathi, Zhi Ding - Modern Digital and Analog Communication Systems-Oxford University Press (2009)

Problems 603
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REFERENCES
1. S. Pasupathy, "Minimum Shift Keying: A Spectrally Efficient Modulation," IEEE Commun. Soc.
Mag., vol. 17, pp. 14-22, July 1979.
2. J. J. Spilker, Digital Communications by Satellite, Prentice-Hall, Englewood Cliffs, NJ, 1977.
3. H. J. Landau and H. 0. Pollak, "Prolate Spheroidal Wave Functions, Fourier Analysis, and Uncertainty,
III: The Dimensions of Space of Essentially Time- and Band-Limited Signals," Bell Syst.
Tech. J. , vol. 41, pp. 1295-1336, July 1962.
4. H. L. Van Trees, Detection, Estimation, and Modulation Theory, vols. I, II, and III, Wiley, New York,
1968-1971.
5. A. J. Viterbi, Principles of Coherent Communication, McGraw-Hill, New York, 1966.
6. H. J. Landau and D. Slepian, "On the Optimality of the Regular Simplex Code," Bell Syst. Tech.
.I. , vol. 45, pp. 1247-1272, Oct. 1966.
7. S. G. Wilson, Digital Modulation and Coding, Prentice Hall, Upper Saddle River, NJ, 1996.
8. A. V. Balakrishnan, "Contribution to the Sphere-Packing Problem of Communication Theory,"
.!. Math. Anal. Appl., vol. 3, pp. 485-506, Dec. 1961.
9. E. Arthurs and H. Dym, "On Optimum Detection of Digital Signals in the Presence of White Gaussian
Noise-A Geometric Interpretation and a Study of Three Basic Data Transmission Systems,"
IRE Trans. Commun. Syst. , vol. CS-10, pp. 336-372, Dec. 1962.
10. B. P. Lathi, An Introduction to Random Signals and Communication Theory, International Textbook
Co., Scranton, PA, 1968.
PROBLEMS
10.1-1 The so-called integrate-and-dump filter is shown in Fig. Pl0.1-1. The feedback amplifier is an
ideal integrator. The switch s1 closes momentarily and then opens at the instant t = T b , thus
dumping all the charge on C and causing the output to go to zero. The switch s 2
samples the
output immediately before the dumping action.
(a) Sketch the output p 0 (t) when a square pulse p(t) is applied to the input of this filter.
(b) Sketch the output p 0 (t) of the filter matched to the square pulse p(t).
(c) Show that the performance of the integrate-and-dump filter is identical to that of the
matched filter; that is, show that p in both cases is identical.
Figure
P. 10.1-1
Sample switch
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