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quiz2v2_s09_soln

# quiz2v2_s09_soln - GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL...

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PROBLEM SPR-09-Q.2.1: (a) For the system described by the difference equation: yOEnŁ D 30xOEnŁ C 20xOEn C 10xOEn , determine the output when the input is xOEnŁ D ıOEnŁ ıOEn C ıOEn ıOEn C ıOEn . Give your answer as a stem plot. - 6 0 1 1 2 3 4 5 6 7 n Label all points (b) When the M ATLAB command soundsc(xx,48000) is used, the highest frequency that can be heard is Hz. (c) The signal x.t/ is bandlimited to 450 Hz, i.e., it has no frequency components for f > 450 Hz. The Nyquist rate for sampling x.t/ is samples/sec.
(d) Determine the impulse response of the FIR filter defined 2 in M ATLAB via: yy = firfilt( [0,0,0,-123,0,377,0,-222], xx ); Express your answer as a sum of shifted unit-impulse signals. (e) Make a stem plot of the signal sOEnŁ D 200.uOEn uOEn 7Ł/ , where uOEnŁ is the unit-step signal. - 6 0 1 1 2 3 4 5 6 7 n Label all points 2 In M ATLAB , the functions firfilt and conv are equivalent; they produce the same result.

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PROBLEM SPR-09-Q.2.2: The diagram in Fig. 1 depicts a cascade connection of two linear time-invariant systems; i.e., the output of the first system is the input to the second system, and the overall output is the output of the second system. - LTI System #1 h 1 OEnŁ , H 1 .e j O !
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