An LTI system is described by the difference equation (a) What is h[n] the impulse response of…

An LTI system is described by the difference equation

 

(a) What is h[n] the impulse response of this system?

(b) Determine the system function H(z) for this system.

(c) Plot the poles and zeros of H(z) in the complex z-plane.

(d) From H(z), obtain an expression for the frequency response  of this system.

(e) Sketch the frequency response (magnitude and phase) as a function of frequency (or plot it using f reqz ( ) in MATLAB, or f reekz ( ) in the SP-First Toolbox).

(f) Suppose that the input is

 

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