Using the pole-zero lines graphically shown below, indicatewhat the respective ROC should be for each case of x (t)presented in the table.Constraint on ROC for Pole-Zero Patternx(t)(а)(b)(c)(d)(i) Fouriertransform(а)(b)of x(t)eImImconvergess planes plane(ii) x(t) = 0,t> 10(iii) x(t) = 0,t<0ReReFigure P20.3-1Figure P20.3-2(c)(d)ImIms planeX 2s planeReReFigure P20.3-3Figure P20.3-4

Xt a b c d fourier transform of Xte-t converges for convergence -1<roc<2 entire s-plane…

Answered: Constraint on ROC for Pole-Zero Pattern…

Constraint on ROC for Pole-Zero Pattern x(t) (a) (b) (c) (d) Fourier transform of x(t)e -' converges x(t) = 0, t> 10 Da(t) = 0, t<0

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

Related questions

Q: n Using the definition of Fourier transform F(w) = f(t)e-jot dt The Fourier transform of f(t) =…

A: In this question We need to choose the correct option. determine the Fourier transform of the given…

Q: * Find the Fourier transform of the following signal 10 cos(2) 3sin(2) sin(w) 10 sin(2) 3cos(2)…

Q: 4. Find the Inverse Fourier Transform of the following functions: a F,(w) = (5+j@)(2+j@) b. F2(w) =…

Q: Find the fourier transform of the following signal. (d) sin wot (e) cos wot (f) e-at. sin wot·u(t)

A: The solution is given below

Q: Find the Fourier transform fot the following signals 1. x(t)=3rect(t-1) 2. y(t)= 2cos (3t) 3. j3t…

A: Fourier Transform convert time domain signal in to frequency domain. Spectra of function have…

Q: For the given Fourier transform equation what is x(t)? 00 X(w) = e (5+ ju)td(t) 7.

A: Fourier transform

Q: H.W: Find the Fourier transforms of the following signals: (a) x(t) = 1 (b) x(t) = ejwot (c)…

A: In this question we will find Fourier transform of given signals..

Q: х(() %3D е at cos(oot)u(t) ,a > 0 = e

A: the detail solution is given in the image

Q: using properties above to find the Fourier transform of the following functions

A: using properties above to find the Fourier transform of the following functions

Q: | x(1)y*() dt < What are the conditions for equality? 10 Determine the Fourier transform of each of…

Q: 4) What is the inverse Fourier transform of X(jw)depicted below? -12-10-8 0 X (jw) 10 12 W (b) X(jw)…

Q: Find the Fourier transform using properties, do one only : a f(t) = cos(at - b. (1) = e")

Q: Question 4. The Fourier transform of f(t) is 8e-8jw F(w): wj 5+ 2 Using the Convolution Theorem,…

Q: What is the physical significance of the Fourier transform of δ(t) becoming 1 and why does it result…

A: The impulse function δ(t) is defined as: δ(t)=1, t=00, t≠0 Fourier Transform is given by:…

Q: Find the inverse Fourier transform of X() = (a + jas)

A: the equation for inverse Fourier transform is, x(t)=12π∫-∞+∞X(ω)eiωtdω

Q: Find the Discrete Fourier Tr folloung

Q: Q1/ A- Prove that the duality property of Fourier transforms is given by: X(t)=2лx(−w)

A: here we have to prove the duality property of fourier transform. we know that fourier transform of…

Q: 1. Determine the Fourier transform of the following function a. x(n) = 3" u(n) b. x(n) = -0.55" u(-n…

A: In this question, We need to determine the Fourier transform of the given signals. We know,…

Q: Find fourier Transform for when F{xces] = X(w) 1 a) X₁ (t) = x(3²-6) (7+1-)X + (7−1)X = (7) ²x (9 e)…

A: In this question we need to find a Fourier transform of the given signal

Q: d) The Fourier transform of x(n) is X(e), Express the Fourier transform of the following signals in…

A: It is given that: y1n=ej3ωnxn+δn+2

Q: let ico be defind as (1). This problem involves Fourier Transforms and the function: (1, Ixl <1 f(x)…

A: First draw the signal and than evaluate the limits of integration for integral. Given function is a…

Q: X(t) =e-a|t| is real as x (jw) =2a / (a2 + w2 )as the signal is before the Fourier transform. There…

Q: Find the Fourier transformat f(x) f(x) = {x if or ca otherwise

A: The above question is based on the calculation of the Fourier transform.The Fourier transform of…

Q: Show that the Fourier transform of 8 (t +) + 48 (t – }) is cos(nf). Prove the following transform…

A: Given function is - Fourier transform of delta function is 1.

Q: Examples 9. b. e- Find the Fourier transform of the Signals shown below. 11 17. M. 2 t -31+1 e Sing…

A: Fourier transform convert time domain signal in to frequency domain. It is applicable for periodic…

Q: 18.15 Find the Founier transfoms of the following functions (a) f) = 5(1 + 3) - 8(1 - 3) (b) ()= -…

Q: 8- Using Fourier Transform property, find the Fourier transform of x(t)? 1.5 1 X₁ (t) x(t) 2 3 Given…

Q: Find The fourier transform of the function: flany) = S(xcosD +ysin@-8) t

Q: Find Fourier transform: x(t) = = cos (2 * T(400 + 60 * t) * t) With t=5s

Q: 10) The Fourier transform of the signal x(t) = e-31tlu(-t) is: %3D 1 a) 3-jw b) 3-W 6. c) 9+w? d)…

A: In this question, Choose the correct options Fourier transform of the signal x(t) = e-3|t| u(-t)

Q: TF [f (t)] denotes the Fourier transform of a function (f). Show that TF [f(t)] = -2j J, f(t)…

Q: Apply Fourier transform, |jw F(w) = F₁ (w) + F₂(w)...... equation 2 F₁ (t) = -8(t + 2) + now t…

A: In this question, We need to calculate the value inside rhe circle. We are solving this problem…

Q: Apply Fourier transform, |jw F(w) = F₁(w) + F₂(w)...... equation 2 F₁ (t) = -8(t + 2) + now t…

Q: Answer all questions Q1: Find Fourier transform for xft) : a- x(t) = e/2m10t – 3jt| sgn(t) b- x(t) =…

Q: (c) Determine the inverse Fourier Transform of the following signal X(w). (Hint: use Duality…

A: The Fourier Transform is a mathematical operation that transforms a function of time (or space) into…

Q: Using the definition of Fourier transform F(a)=f(t)e-ltdt The Fourier transform of f(t)- e*u(-t)…

Q: A signal x (1) has a Fourier transform of X (@): ja w? - 3jw - 2 Write the transform for each of the…

Q: Please show solution 2. Find the inverse Fourier transform of the following signals. (a) X(jw) =…

Question

Using the pole-zero lines graphically shown below, indicate
what the respective ROC should be for each case of x (t)
presented in the table.
Constraint on ROC for Pole-Zero Pattern
x(t)
(а)
(b)
(c)
(d)
(i) Fourier
transform
(а)
(b)
of x(t)e
Im
Im
converges
s plane
s plane
(ii) x(t) = 0,
t> 10
(iii) x(t) = 0,
t<0
Re
Re
Figure P20.3-1
Figure P20.3-2
(c)
(d)
Im
Im
s plane
X 2
s plane
Re
Re
Figure P20.3-3
Figure P20.3-4

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

I need the answer as soon as possible
Perform Fourier transform of x(t) = e step by step.
Given the following equation. find the fourier transform of (refer the photo) .
Find the Fourier Transform of the signal x(t) where x(t) = e^(-(a/2)t^2). Please do not just use a table (my teacher wants me to find the value through properties and integration).
in 10 min
Find the fourier transform of the signal y(t) = 2 cos ( 100nt – -)
f(t)=2; FIND FOURIER TRANSFORM ( NEED NEAT HANDWRITTEN SOLUTION ONLY OTHERWISE DOWNVOTE).
(a) Using definition (b) Using Tables of Fourier Transform Pairs and Properties
problem 1
Home Workl: Find the Fourier transform to the function given below: for t 0
Periodic signal x(t) which is shown in
5. With flt) = sinc(t), Obtain Fourier transforms of the following functio (c) 1/2(A(t-1)- At+1))