Determine the unit step response of the causal system for which the z-transform of the impulse response is
Answer to relevant QuestionsIf the input x[n] to an LTI system is x[n] = u[n], the output is y[n] = (1/2)n–1u[n + 1].(a) Find H(z), the z-transform of the system impulse response, and plot its pole-zero diagram.(b) Find the impulse response h[n].(c) ...In Figure, h[n] is the impulse response of the LTI system within the inner box. The input to system h[n] is v[n], and the output is w[n]. The z-transform of h[n], H(z), exists in the following region of convergence: 0 < r ...Consider a sequence with z-transform X(z) = P(z) / Q(z), where P(z) and Q(z) are polynomials in z. If the sequence is absolutely summable and if all the roots of Q(z) are inside the unit circle, is the sequence necessarily ...Determine whether or not the function X(z) = z* can correspond to the z-transform of a sequence. Clearly explain your reasoning.Consider the system in Figure with the following relations: (a) For this system, what is the maximum allowable value of T if aliasing is to be avoided, i.e., that xc(t) can be recovered from x[n]. (b) Determine h[n] (c) ...
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