Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
9th Edition
ISBN: 9781259989452
Author: Hayt
Publisher: Mcgraw Hill Publishers
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 17, Problem 44E
(a)
To determine
The proof of the given results.
(b)
To determine
The proof of the given result.
(c)
To determine
The proof of the given result.
(d)
To determine
The proof of the given result.
(e)
To determine
The proof of the given result.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
2. The continuous-time Fourier transform of the triangular signal x(t) shown below left is
sin²
X(n) = 4
22²
-1
Fourier transform of the signal z(t) shown below right
Using the properties of linearity, time shifting, and time scaling, find the
x(t)
z(t)
1
or
2
3
4
01
5
6
Hint: Note that the shape of z(t) may be represented in several ways, two of which are shown
below:
M
(i) Show that the Fourier transform of 8(t-a) = e¯jwa
(ii)Prove the inverse of the above expression
(iii) Prove that the Fourier transform of an impulse train is also an impulse train.
1.
%3D
4. Find the Inverse Fourier Transform of the following functions:
a F, (w) =
(5+j@)(2+j@)
b. F2(w) = 48(w + 2) + 8(@) + 48(w – 2)
Chapter 17 Solutions
Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
Ch. 17.1 - Let a third-harmonic voltage be added to the...Ch. 17.1 - A periodic waveform f(t) is described as follows:...Ch. 17.2 - Prob. 3PCh. 17.2 - Prob. 4PCh. 17.3 - Prob. 5PCh. 17.3 - Prob. 6PCh. 17.4 - Prob. 7PCh. 17.5 - Prob. 8PCh. 17.5 - Prob. 9PCh. 17.6 - Prob. 10P
Ch. 17.6 - Prob. 11PCh. 17.7 - Prob. 12PCh. 17.7 - Prob. 13PCh. 17.8 - Find (a) F5sin23t); (b) FAsin20t); (c)...Ch. 17.9 - Prob. 15PCh. 17.10 - Prob. 16PCh. 17 - Determine the fundamental frequency, fundamental...Ch. 17 - Plot multiple periods of the first, third, and...Ch. 17 - Calculate a0 for the following: (a) 4 sin 4t; (b)...Ch. 17 - Prob. 4ECh. 17 - Prob. 5ECh. 17 - Prob. 6ECh. 17 - Prob. 7ECh. 17 - With respect to the periodic waveform sketched in...Ch. 17 - Prob. 9ECh. 17 - Prob. 10ECh. 17 - A half-sinusoidal waveform is shown in Fig. 17.31,...Ch. 17 - Plot the line spectrum (limited to the six largest...Ch. 17 - Prob. 13ECh. 17 - Prob. 14ECh. 17 - Prob. 15ECh. 17 - Prob. 16ECh. 17 - Prob. 17ECh. 17 - Prob. 18ECh. 17 - The nonperiodic waveform g(t) is defined in Fig....Ch. 17 - Prob. 20ECh. 17 - Prob. 21ECh. 17 - Prob. 22ECh. 17 - Prob. 23ECh. 17 - Prob. 24ECh. 17 - Prob. 25ECh. 17 - Prob. 26ECh. 17 - Prob. 27ECh. 17 - Prob. 28ECh. 17 - Prob. 29ECh. 17 - Prob. 30ECh. 17 - Prob. 31ECh. 17 - Prob. 32ECh. 17 - Prob. 33ECh. 17 - Prob. 34ECh. 17 - Prob. 35ECh. 17 - Prob. 36ECh. 17 - Use the Fourier transform to obtain and plot the...Ch. 17 - Prob. 38ECh. 17 - Prob. 39ECh. 17 - Prob. 40ECh. 17 - For g(t) = 3etu(t), calculate (a) G(j); (b) ().Ch. 17 - Prob. 42ECh. 17 - Prob. 43ECh. 17 - Prob. 44ECh. 17 - Prob. 45ECh. 17 - Prob. 46ECh. 17 - Find F(j) if f(t) is given by (a) 2 cos 10t; (b)...Ch. 17 - Prob. 48ECh. 17 - Prob. 49ECh. 17 - Prob. 50ECh. 17 - Prob. 51ECh. 17 - Prob. 52ECh. 17 - Prob. 53ECh. 17 - If a system is described by transfer function h(t)...Ch. 17 - Prob. 55ECh. 17 - (a) Design a noninverting amplifier having a gain...Ch. 17 - Prob. 57ECh. 17 - Prob. 58ECh. 17 - Prob. 59ECh. 17 - Prob. 60ECh. 17 - Prob. 61ECh. 17 - Prob. 62ECh. 17 - Design an audio amplifier with gain of 10, using...
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
- 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).arrow_forwardJAssume that z(t) and y(t) are both continuous time aperiodic signals, and Fourier transforms of z(t) and y(t) are X(w) and Y(w) respectively. What is the Fourier transform of z(t) = etz(t)y(t)? Select one: a. Z(w) = X(2w) Y(w+u) b. Z(w) = +X(w - 4u) + Y(w) %3D c. Z(w) = X(w) + 2Y(w)eut d. Z(w) = X(w – wo) + Y(w) %3D %3Darrow_forwardThe inverse Fourier transform of the following signal is, X(jø)=36cos (16@+60°) 18 (a) [e/*3(1+16)+e* 8 (t–16)] (b) 18[e/® 8(t+16)+e"j0®* 8 (t–16)] (c) [e/ 5(t–16)+e"* 8 (t +16)] (d) 18[e/* 5 (t–16)+e 1* 5 (t+16)] 18arrow_forward
- Q1) Find the Fourier transform for the following functions: 1) x(t)= 3cos(wt) 2) 48(t) + 10e-6t 3) x(t)=4u(t-1)+5 where u(t) is unit step function t > 0 u(t)=} t<0arrow_forwardFind the Fourier transform of x(t) = f(t - 2) + f(t + 2), where f(t) is a time-domain signal. O A. 2F(jw)cos(2w) B. Fljw)cos(2w) C. F(jw)sin(2w) D. 2F(jw)sin(2w)arrow_forwardDetermine the Fourier transforms of these functions: (a) f(t) = e'[u(t) – u(t – 1)] (b) g(t) = te-'u(t) (c) h(t) = u(t + 1) – 2u(t) + u(t – 1) Find the Fourier transforms of these functions: (a) f(t) = e-' cos(3t + 1)u(t) (b) g(t) = sin 7 t[u(t + 1) – u(t – 1)] (c) h(t) = e-2 cos atu(t – 1) (d) p(t) = e-" sin 4tu(-t) (e) q(t) = 4 sgn(t – 2) + 38(t) – 2u(t – 2) %3D |arrow_forward
- 1. Find the Fourier transform of the following signals: (a) y [n] = (-0.8)" u [n] (b) y [n] = (0.9)" cos (2n) u [n] || 2. Find the zeros and poles of the following transforms (a) X (2) : 22 –1 23+3z²+3z+1 = (b) X (2) = z²+1 z3+3z²+3z+1 z4 2ª+1 (c) X (z) = z²+3z+2 (d) X (z) = z exp (z-1) (e) X (2) = z² exp (-z-1)arrow_forwardTF [f (t)] denotes the Fourier transform of a function (f). ctoo Show that TF [f(t)] = -2j J. f(t) sin(2nvt) dt in the case where the function (f) is odd. %3Darrow_forward(a) If the aperiodic signal g(t) is real and odd, prove that its Fourier Transform is purely imaginary and this imaginary part is odd. (b) , For the signal r(t) = sinc(cst) determine | r(t) r(cit) dt (c) The signal w(t) is given by w(t) = | 9(7 - t) · g(-7)dr Determine the Fourier Transform of w(t) in terms of the Fourier Transform of g(t).arrow_forward
- Given r(t) with Fourier Transform X(w), then Y(w) for y(t) = x(2t) is: Select one: ○_Y(w) = ¹⁄X(2w) ○ Y(w) = 1⁄2 X(w) OY(w) = X(22) O None of the answers ○ Y(w) = X(2/2)arrow_forward3. The Fourier transform of f(t) (f(t)=sinc(t)) is F(jo)-TRect(/2) (Figure 1) (5) Calculate y,(t) by taking the inverse Fourier transform of Y1(jo) (6) For input u2(t)=sin(4t), calculate U2(jo) and sketch |U1(jo) (7) Calculate Y2(jo), the Fourier transform of y2(t) that is the output of the system with u2(t) as the input. (8) Calculate y2(t) by taking the inverse Fourier transform of Y2(jo) (9) For input us(t)-sin(7t), calculate U3(jo) and sketch |U,(ja) (10) Calculate Y3(jo), the Fourier transform of y3(t) that is the output of the system with u3(t) as the input (11) Calculate y3(t) by taking the inverse Fourier transform of Y3(jo) H(ju) 0 1 Figure.1 -1arrow_forwarda. Prove the scaling property of Fourier transform i.e f(t) →F(w), then for f(at) >(1/la|)*F(w/a) b. Prove the time shifting property of fourier transform i.e f(t) E→F(w), then for f(t-t0) → F(w)eoarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
- Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:9780078028229
Author:Charles K Alexander, Matthew Sadiku
Publisher:McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:9780134746968
Author:James W. Nilsson, Susan Riedel
Publisher:PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:9780078028151
Author:Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:Mcgraw-hill Education,