1) A discrete-time, causal and LTI system is shown below. x[n] and y[n] are input and output signals of the system. 3 y[n - 1 - - y[n a) Find the system function, H(z), and the impulse response, h[n]. b) Find the step function, s[n], of the system. (Hint: if x[n]=u[n], y[n]=s[n]) -1 c) Find the z-transforms of the signals x[n]= n u[n- 2] and x[n]= u[n-1]. u[n] using the properties of the z-transform. Write the results as the functions of X(z). d (Hint: nx{n] →-zX(2)) dz

1) A discrete-time, causal and LTI system is shown below. x[n] and y[n] are input and output signals of the system. 3 y[n - 1 - - y[n a) Find the system function, H(z), and the impulse response, h[n]. b) Find the step function, s[n], of the system. (Hint: if x[n]=u[n], y[n]=s[n]) -1 c) Find the z-transforms of the signals x[n]= n u[n- 2] and x[n]= u[n-1]. u[n] using the properties of the z-transform. Write the results as the functions of X(z). d (Hint: nx{n] →-zX(2)) dz

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Could you answer this question and show the calculations clearly. Thanks a lot. Btw, this question is about the digital signal processing (electrical electronic engineering) Compute for this system, a) h[n], the impulse response b)Calculate y[n] for given x[n] analytically c) Calculate y[n] using graphical convolution d)Is this system causal? Why? e) What is this system used for?
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