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If 8(n) is a unit-impulse, using the definition of convolution, show that x(n)* 8(n-k) = x(n-k) (for an arbitrary signal x(n). Assume the impulse

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If 8(n) is a unit-impulse, using the definition of convolution, show that x(n)* 8(n-k) = x(n-k) (for an arbitrary signal x(n). Assume the impulse response of an LTI system is given by: h(n) = {1, 2, 3} Assume x(n) = 2nu(n) and that y(n)= x(n) * h(n). What is y(n)? What is y(20)? What is y(-3)?

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