QuiThe two sequences x [n] = u[n] and x2[n] = -(-)"u[-n- 1]%3DSelect one:a. Have the same z-transform expression but not the same z-transformregion of convergenceQu-Sol-b. None of the other answersscar1c. Have the same z-transform region of convergence but not the same z-transform expressionQuesSolvid. Have the same z-transform expression and the same z-transform region ofconvergencee. Have different expressions and regions of convergence for their z-scanitransformsQuestQuestus pageNext pageansweMacBook Air000000 F4F10F5F6F7F8F9&17 V 8 A9 90T5

Given two sequences x1n=13nunx2n=-13nu-n-1

The two sequences xn[n] = u[n] and x2 [n] = -(-)"u[-n- 1] Select one: a. Have the same z-transform expression but not the same z-transform region of convergence b. None of the other answers c. Have the same z-transform region of convergence but not the same z- transform expression d. Have the same z-transform expression and the same z-transform region of convergence e. Have different expressions and regions of convergence for their z- transforms

The two sequences xn[n] = u[n] and x2 [n] = -(-)"u[-n- 1] Select one: a. Have the same z-transform expression but not the same z-transform region of convergence b. None of the other answers c. Have the same z-transform region of convergence but not the same z- transform expression d. Have the same z-transform expression and the same z-transform region of convergence e. Have different expressions and regions of convergence for their z- transforms

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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Transfer function an anticausal discrete time linear shift invariant system is given as z - 3 z² – z + 2' H(z) = Sketch the given transfer function on the z-plane and obtain the impulse response of this system. Table 6.1: Some commonly used z-transform pairs. Table 6.2: Some useful properties of the z-transform. Property Sequence z-Transform ROC Sequence z-Transform ROC Rg Re g[n] G(2) 8[n] 1 All values of z Conjugation Time-reversal g*[n] G*(?*) Rg 1/Rg 1 gl-n] G(1/z) u[n] |z| > 1 Lican ity uglu)+ h[u] aG(2) + pu(2) Includes Rg n Rn gln - no) Rig, except possibly the point z =0 or oo Time-shifting a" u[n] |z| > la| |-az az- (1 - az-l)2 Multiplication by an exponential na" u[n] |z| > la| a" g[n] G(z/a) sequence dG(2) Rg, except possibly the point z=0 or oo Includes Rgn Rn (n + 1) a" u[n] Differentiation ngln] (1 – az-1)2 1- (r cos w,)z-1 1 – (2r cos w,)z-1+p2z=2 (r sin wo)z-! 1- (2r cos w)z¬l+p2==2 of G(2) dz Convolution gln] h[n] G(2)H(2) (" cos wan)u[n] |z| > Irl Modulation 5 fe…
Using long division, determine the inverse z-transform of
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Using Derivatives of Transform, compute the following:
What we covered in Chapter 10 are called bilateral z-transform X(z). There is also a thing called unilateral z-transform, defined as X (z) = Σx[n]z¯". uni n=0 (a) Write down the mathematical relationship between bilateral and unilateral z-transform. (b) For x[n] = a¹u[n+2], derive both X(z) and X(z) .
Given the Z-transform 3z2-z X(z) z2+z-6 a) What are the 3 possible regions of convergence for this X(z)? b) What are the poles and zeros of X(z)? Sketch the pole-zero plot c) Assuming causal ROC in part a), invert X(z) using the method of partial-fraction expansion
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H.W. Prove the z-transforms for common sequences summarized in Table 1 except the last sequence Table 1 Table of z-Transform Pairs Line No. Region of Convergence x(n), n20 z-Transform X(z) [a sin(b)]z 22 - [2a cos(b)l +a? 11 a' sin(bn)u(n) z|> la| zlz -a cos(b)| 2 - [2a cos(b)z +a 2 12 a" cos(bn)u(n) kl> la| fe sin(b)z z2- [2e "cos(b)]z +e 2z -e cos(b)] z2 – [2e-a cos(b)]z +e-2a 13 e an sin(ta)u(n) kl>ea 2a 14 e an cos(b:}u(n) kl>e a Az A*Z 2|A||P|"cos(n0 +9)u(n) where P and A are complex constants defined by P = |P|L0, A = A|L 15 Z-P Z- P*
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