The convolution of x(n) = δ(n-2) – δ(n-6) with h(n) = 2u(n)…
The convolution of x(n) = δ(n-2) – δ(n-6) with h(n) = 2u(n) gives an output y(n) equal to: For the system LaTeX: \(h(n) = h_1(n) * h_2(n)\), where \(*\) denotes convolution, LaTeX: \(h_1(n) = \delta(n) – \delta(n-9)\), LaTeX: \(h_2(n) = (-0.9)^n u(n)\), and LaTeX: \(z = e^{j\Omega}\), the frequency response is:
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