5.47. A linear-phase FIR system has a real impulse response h[n] whose z-transform is known to have the form H(2) = (1 – az-l)(1 – ei™ /2,-1>(1 – bz-)(1 – 0.52-1)(1 – cz-1) where a, b, and c are zeros of H(z) that you are to find. It is also known that H(el") =0 for w = 0. This information and knowledge of the properties of linear-phase systems are suf- ficient to completely determine the system function (and therefore the impulse response) and to answer the following questions: (d) Determine the unknown zeros a, b, and c. (The labels are arbitrary, but there are three more zeros to find.) (e) Determine the values of the impulse response and sketch it as a stem plot.

5.47. A linear-phase FIR system has a real impulse response h[n] whose z-transform is known to have the form H(2) = (1 – az-l)(1 – ei™ /2,-1>(1 – bz-)(1 – 0.52-1)(1 – cz-1) where a, b, and c are zeros of H(z) that you are to find. It is also known that H(el") =0 for w = 0. This information and knowledge of the properties of linear-phase systems are suf- ficient to completely determine the system function (and therefore the impulse response) and to answer the following questions: (d) Determine the unknown zeros a, b, and c. (The labels are arbitrary, but there are three more zeros to find.) (e) Determine the values of the impulse response and sketch it as a stem plot.

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...

See similar textbooks

Similar questions

Q1: Given the following discrete signal X,(z) = z-1- 4z-2 +2-3, X2(z) = z-1 + z-5 -z-6 X3(z) = z-1+ 4z-3 and X4(z) = 9z-2 -5z-4 Write a MATLAB code to find and plot the result discrete time signal X5(z) = X1(z)X2(z) + X3(z)X4(z) 02: Hgo MATI
In order to reduce the steady-state error of a system, a lag compensator was designed as shown. Determine the steady-state errors for a ramp input before and after adding the lag compensator. Hint: use Kv R(s) Select one: O a. 1 and 0.3 O b. 1 and 0.2 O c. 1 and 0 O d. 2 and 1 O e. 2 and 0.5 S+ 0.1 s+0.01587 lag compensator 0.7936 2 s(s+ 1)(S + 2) plant C(s)
i need the answer quickly
REQUIRES: 1.Signal formation 2.Z transform 3.DTFT 4.Convolution Property
What is the z-transform of the following finite duration signal? https://canvas.instructure.com/courses/4226171/quizzes/10932125/take 4/28/22, 6:24 PM O z¹+1+z+z² O z¹+2+z+ 2z² O2 + 4z¹ + 5z² O-z+1+z¹ + 2z² Quiz: Signals Final Exam 9/16
Part 2. Determine the z-transform and ROC of 1. A. Linearity B. Time shifting C. Scaling D. Folding x(n) = 3¹u(n-2)-n7"u(-n-1) Let x₁ (n) = 3¹u(n − 2). What z-transform property is applicable? - 2. A. Convolution B. Time shifting Let x₂ (n) = n7"u(-n-1). What z-transform property is applicable? C. Scaling D. Differentiation 3. A. X(z) of 3mu(m) = B. X(z) of 3mu(m) = C. X(z) of 3mu(m) = D. X(z) of 3mu(m) = Which of the following is correct? 1 1+3z 1 1-z-1 1 1-32-1 1 1+z-1
DO NOT COPY FROM OTHER WEBSITES Correct and detailed answer will be Upvoted else downvoted. Thank you!
-. For the signal x[n] = 1+cos(™ analysis/synthesis equations. ), answer the following questions. Use the transform (a) What is the period of x[n]? (b) Is the DTFS of x[n] periodic? If yes, what is the period? (c) Find the DTFS of x[n].
Please assume the bilateral Z-transform in all questions unless otherwise stated. (a) Determine the Z-transform and Region of Convergence of: x|n] = anl for a > 0 Note: alml = a"u[n] + a¬"u[=n – 1] If needed, you may include hand-drawn ROC plots.
Without finding the inverse z-transform, identify which of the z-transforms could be the transform of a causal signal? Clearly state your reason for your answer: (1-z-1)2 (1–0.5z-1) (z-1)² (z-0.5)2 (z-0.25)® (z-0.5)5 (a) (b) (c) (d) (z–0.25)5 (z-0.5)6 need help to knowing which one can be transform of a causal signal.thanks
Have 2 seperate questions attached
PLS HELP! Discuss and analyze the steady state of an RC Circuit in both time- and frequency- domain. EXPLAIN EACH SOLUTION.