Question 4-) Let Fourier Transform of the signal r(t) be X(jw). Assume that g(t) satisfies the equation g(t) = X(jt). (a) Show that the Fourier transform G(jw) of g(t) has the shape of 2ax(-t), that is G(jw) = 2nx(-w). %3D (b) Using the fact that F{5(t + B)} = ejßw _with the result from part a, show that F{ei$t} = 2n6(w – B). %3D %3D

Question 4-) Let Fourier Transform of the signal r(t) be X(jw). Assume that g(t) satisfies the equation g(t) = X(jt). (a) Show that the Fourier transform G(jw) of g(t) has the shape of 2ax(-t), that is G(jw) = 2nx(-w). %3D (b) Using the fact that F{5(t + B)} = ejßw _with the result from part a, show that F{ei$t} = 2n6(w – B). %3D %3D

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) In Figure below(a), a system is shown with input signal x(t) and output signal y(t). The input signal has the Fourier transform X(jw) shown in Figure below.(b). Determine and sketch Y(jw), the spectrum of y(t) pls list the full step and the equation
c) Given that X(@) = S x(t)e-jøt dt where X(@) is the direct Fourier transform of x(t), and x(t) the inverse Fourier transform of X(@). From this definition, find the Fourier transforms of each of the two (2) signals depicted in Figure 4(c). |x(1) x(1) 2 Figure 4(c)
Ql: For the signal g(t), shown in figure beside. 10 i) Find Fourier Transform G(w) ii) Sketch amplitude and phase spectrum of G(w) -1
(a) cos(2w)e-15w + p6(@)sin(w) 1+ jw 1 (b) 1+w? cos (5w) + P3 (@)cos(@) Please solve using the Inverse Fourier transform only
Need help pls asap
urgent please
Consider the signal r(t) given in the figure below. Assume a = - and b = 2.66666666666667. x(t) -a a a) Find a closed form expression for the Fourier transform X(w) of the signal r(t). Hint: Use the integration and differentiation properties, as well as the Fourier transform pair of a rectangular pulse. X(w) = b) Find the Fourier transform G(w) of the signal g(t) = x(t) – G(w) = = sin(t)/t (in contrast, in Signal Processing literature, In your answers, enter D(t) instead of d(t), and "w" for w. Note that for this question, you may use the cardinal sine with sinc(t) sinc(t) = sin(nt)/(nt)).
JAssume that z(t) and y(t) are both periodic signals with a period of T, and Fourier series coefficients for r(t) and y(t) are as and by respectively. If z(t) = r(-t) + 5y(-2t), what is the Fourier series coefficients for z(t)? Select one: a. Ck = a - bk b. c = ar + by %3D C. Ck = ak -5b d. Ck = a k+ 56 k O O O
Consider the function f(x) = 1, defined on the interval [0,1]. a) Find the Fourier cosine series for f (ie, compute the coefficients). Sketch this series on [ -3, 3]. b) Find the Fourier sine series for f (ie, compute the coefficients). Sketch this series on [ -3, 3]
20. Microprocessors works with binary systems in digits of 1's and O's. What is the representation of the number 5 in bits? O A. 00010000 B. 00001000 C. 00000101 D. 00011111
Question 4-) Let Fourier Transform of the signal r(t) be X(jw). Assume that g(t) satisfies the equation g(t) = X(jt). (a) Show that the Fourier transform G(jw) of g(t) has the shape of 27r(-t), that is G(jw) = 2nx(-w). = ejBw with the result from part a, show that (b) Using the fact that F{6(t + B)} F{ejt} = 278(w – B).
Signals and Systems