Plot the magnitude and phase of the system

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Reference no: EM132347332

Questions -

Q1. Determine the z-transform, including the region of convergence (ROC), of the following signals:

Q2. Consider the following causal difference equation, which operates at a sample rate of 8 kHz:

y[n] = 1.1y[n-1] - 0.3y[n-2] + x[n]

a) Find the system transfer function H(z) = Y(z)/X(z).

b) Plot the system's poles and zeros in the complex z-plane. Is the system stable?

c) Determine the frequency response H(Ω) = H(z = e^jΩ) for this system.

d) Plot the magnitude and phase of the system's frequency response H(Ω). The frequency axis should be labeled in Hz. How would you characterize this system?

e) Find a closed form expression for the system impulse response h[n]. Plot h[n] for n = 0:20.

Reference no: EM132347332

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