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Unformatted text preview: , u sing t he t ime-domain m ethod.
( b) F ind t he o utput y[k], u sing t he f requency-domain m ethod.
1 3.6-2 A n LTI discrete-time system is specified by t he difference e quation y[k + 2] + y[k + 1] + O.16y[k] = T he following books are listed for readers desiring alternate t reatment of topics
covered in this book. J[k + 1] + O.32J[k] Cadzow, J . A., a nd H.F. Van Landingham, Signals and Systems, Prentice-Hall,
Englewood Cliffs, N .J., 1985.
Carlson, G .E., Signal and Linear S ystem Analysis, Houghton Mifflin Co.,
B oston, 1992
C hen, C.T., S ystems and Signal Analysis, S aunders College Publishing, New
Gabel, R A., a nd R.A. Roberts, Signals and Linear Systems, 3 rd ed., Wiley,
New York, 1987.
Glisson, T.H., Introduction to S ystem A nalysis, McGraw-Hill, New York, 1985. ( a) Show t he two canonical, series a nd p arallel realizations o f t his s ystem.
( b) W rite t he s tate a nd t he o utput e quations f rom t hese r ealizations, using t he
o utput o f e ach delay element a s a s tate variable.
1 3.6-3 Jackson, L.B., Signals, Systems, and Transforms, Addison Wesley, Boston,
Mass, 1991. R epeat P roblem 13.6-1 i f Kamen, E., a nd B.S. Heck, Fundamentals o f Signals and System, Prentice-Hall,
Englewood Cliffs, N .J., 1997. y[k + 2] + y[k + 1] - 6y[k] = 2 f[k + 2] + f [k + 1] J:(wakernaak, H., a nd R Sivan, M odem Signals and Systems, Prentice-Hall,
Englewood Cliffs, N .J., 1991.
Mayhan, Robert J., D iscrete-time and Continuous-time Linear Systems, Addison Wesley, Reading, Mass, 1984.
McGillem, C.D., a nd G .R Cooper, C ontinuous and Discrete Signal and System
Analysis, 3 rd ed., Holt, Rinehart a nd W inston, New York, 1991.
Mitra, S.K., Digital Signal Processing, McGraw-Hill, New York, 1998
Neff, H.P., C ontinuous and Discrete Linear systems, H arper a nd Row, New
837 838 Supplementary Reading A nswers t o S elected P roblems Oppenheim, A.V., A.S. Willsky, a nd S.H. Nawab Signals and Systems, 2nd Ed.
Prentice-Hall, Englewood Cliffs, N.J., 1997.
Phillips, C.L., and J.M. P arr Signals, Systems, and Transforms, Prentice-Hall,
Englewood Cliffs, N.J., 1995.
Poularikas, A., and S. Seely, Signals and Systems, P WS-Kent, Boston, N.J.,
Proakis, J.G., and D.G. Manolakis, Digital Signal Processing Principles, 3rd
ed. Prentice-Hall, Englewood Cliffs, N.J., 1996.
S trum, R.D., and D.E. Kirk, F irst principles o f Discrete Systems and Digital
Signal processing, Addison-Wesley, Reading MA, 1988.
Siebert, W.M., Circuits, Signals, and Systems, T he M IT Press/McGraw-Hill,
New York, 1986. C hapter 1
1 .1-4 P I = P _ I = 6 4/7, P2 1
(a) 50 (b) 178 (c) 51 ( d) 25 (e) 25 (f) 1 /2. (a), (b), a nd (c).,.. (d) 4.,.. 1 .1-1
1 .1-6 1 .4-4 (a) 0 ( b) ~o(w) 1 .4-5 (a), (b) J (t) (c) 1 (d) 0 (e) ! o(t) ( d) - to(t - 1) (e) 20.085 1 .4-11 ( a)±j3 ( b)-3±j3 ( c)2±j3 1 .7-1 O nly ( b), ( f) a nd (h) a re linear 1 .7-3 yet) = [e-(t+5)
1 .8-1 (f) 5 ( d)-2 (e) 2':j3 o(w + 3 )
(g) J (-I) (f) M(w) (h) - 7.389 (e) 2 ( f)O. + 2 (t + 5)e-(t+5) + 2]...
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