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A sequence $x[n]$ is the output of a linear time-invariant system whose input is $s[n]$. This system is described
by the difference equation
$(1.1)$ $$x[n]=s[n]-e^{-8\alpha}s[n-8]$$
$$\alpha>0$$
a) Find the system function
$$H(z)=X(z)/S(z)$$
and plot its poles and zeros...
A Linear Time-Invariant system with impulse response h1[n]h1[n] is an ideal lowpass filter with cutoff frequency ωc=π/2ωc=π/2. The frequency response of the system is H1(ejω)H1(ejω). Suppose a new LTI system with impulse response h2[n]h2[n] is obtained from h1[n]h1[n] by...
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