Define a discrete-time signal using the given formula

Reference no: EM131532438

Question: Define a discrete-time signal using the formula:

y[n] = (0.99)ⁿ cos(2Π(0.123)n + φ)

(a) Make a sketch of y[n] versus n, as a "stem" plot. Take the range of n to be 0 ≤ n ≤ 20.

(b) Design an IIR filter that will synthesize y[n]. Give your answer in the form of a difference equation with numerical values for the coefficients. Assume that the synthesis will be accomplished by using an impulse input to "start" the difference equation (which is at rest; i.e., has zero initial conditions).

Reference no: EM131532438

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