When the input to a linear time-invariant system is x [n] = 5u[n], the output is y[n]

Question:

When the input to a linear time-invariant system is

x [n] = 5u[n],

 the output is 

y[n] = [2 (½)+ 3 (– ¾)n] u[n].

(a) Find the system function H(z) of the system. Plot the poles and zeros of H(z), and indicate the region of convergence.

(b) Find the impulse response of the system for all values of n.

(c) Write the difference equation that characterizes the system.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Discrete Time Signal Processing

ISBN: 978-0137549207

2nd Edition

Authors: Alan V. Oppenheim, Rolan W. Schafer

Question Posted: