1. Determine the inverse system of the system with impulse response h(n)=(14)^n u(n) (hint: Use the z-transform) 2. Give

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1. Determine the inverse system of the system with impulse
response
h(n)=(14)^n u(n)
(hint: Use the z-transform)
2. Given the signal x(n)
Sketch and carefully label the following signals
(a) x(2-n)
(b) x(n-4)
(c) even part of x(n+1)
(d) odd part of x(n+1)
Determine if the following system is causal
(e) y(n) = x(2-n)
Determine the magnitude and phase of the Frequency Response
H(ω), for the three-point moving average (MA) system (also known as
Moving Average Filter).
y(n) = 1/4 x(n) + 1/2 x (n-1) + 1/4 x (n-2)
Design an FIR linear-phase, digital filter approximating the
ideal frequency response
Determine the coefficients of a 13-tap filter using the
following windowing methods
(a) rectangular window
(b) Hanning window