Consider an LTI system, initially at rest, described by the difference equation y(n) = y(n 2)
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Consider an LTI system, initially at rest, described by the difference equation
y(n) = ¼y(n – 2) + x(n)
(a) Determine the impulse response, h(n), of the system.
(b) What is the response of the system to the input signal
x(n) = [(1/2)n + (-1/2)n]u(n)
(c) Determine the direct form II, parallel-form, and cascade-form realization for this system.
(d) Sketch roughly the magnitude response |H(ω)| of this system.
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Related Book For
Digital Signal Processing
ISBN: ?978-0133737622
3rd Edition
Authors: Jonh G. Proakis, Dimitris G.Manolakis
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