FUND.OF ELECTRIC CIRCUIT(LL)-PACKAGE
6th Edition
ISBN: 9781260263794
Author: Alexander
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Question
Chapter 17, Problem 53P
To determine
Find the complex Fourier series for the given function.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Given the finite-duration sequence below,
x[n]={-4,1,2,0,3}
where -4 is when n=0,
if it has a fourier transform of X(w) , what is the value of X(0)?
Determine the Fourier series representation of the following discrete time signal x(n) = {..... , 1, 2, -3,1,2,-3,1,2,-3,......} (Hint: This is periodic signal)
Suppose there is a sequence x[n] = [2, -1, 0, c, 1] where the value of c is unknown. X[k] is the DFT of x[n]. Let Y[k] = X[k]exp(i6πk/5). The inverse fourier transform of Y is y[n] = [2, 1, 2, -1, 0]. What is the value of c?
Chapter 17 Solutions
FUND.OF ELECTRIC CIRCUIT(LL)-PACKAGE
Ch. 17.2 - Find the Fourier series of the square wave in Fig....Ch. 17.2 - Determine the Fourier series of the sawtooth...Ch. 17.3 - Prob. 3PPCh. 17.3 - Find the Fourier series expansion of the function...Ch. 17.3 - Prob. 5PPCh. 17.4 - Prob. 6PPCh. 17.4 - If the input voltage in the circuit of Fig. 17.24...Ch. 17.5 - The voltage and current at the terminals of a...Ch. 17.5 - Find the rms value of the periodic current i(t) =...Ch. 17.6 - Obtain the complex Fourier series of the function...
Ch. 17.6 - Obtain the complex Fourier series expansion of...Ch. 17.7 - Prob. 12PPCh. 17.8 - Rework Example 17.14 if the low-pass filter is...Ch. 17 - Which of the following cannot be a Fourier series?...Ch. 17 - If ft=t,0t,ft+n=ft, the value of 0 is (a) 1 (b) 2...Ch. 17 - Which of the following are even functions? (a) t +...Ch. 17 - Prob. 4RQCh. 17 - Prob. 5RQCh. 17 - If f(t) = 10 + 8 cos t + 4 cos 3t + 2 cos 5t + ,...Ch. 17 - Prob. 7RQCh. 17 - The plot of |cn| versus n0 is called: (a) complex...Ch. 17 - Prob. 9RQCh. 17 - Prob. 10RQCh. 17 - Evaluate each of the following functions and see...Ch. 17 - Using MATLAB, synthesize the periodic waveform for...Ch. 17 - Given that Fourier coefficients a0, an, and bn of...Ch. 17 - Find the Fourier series expansion of the backward...Ch. 17 - Prob. 5PCh. 17 - Find the trigonometric Fourier series for f t =...Ch. 17 - Determine the Fourier series of the periodic...Ch. 17 - Using Fig. 17.51, design a problem to help other...Ch. 17 - Determine the Fourier coefficients an and bn of...Ch. 17 - Find the exponential Fourier series for the...Ch. 17 - Obtain the exponential Fourier series for the...Ch. 17 - Prob. 12PCh. 17 - Prob. 13PCh. 17 - Find the quadrature (cosine and sine) form of the...Ch. 17 - Express the Fourier series...Ch. 17 - The waveform in Fig. 17.55(a) has the following...Ch. 17 - Prob. 17PCh. 17 - Prob. 18PCh. 17 - Obtain the Fourier series for the periodic...Ch. 17 - Prob. 20PCh. 17 - Prob. 21PCh. 17 - Calculate the Fourier coefficients for the...Ch. 17 - Using Fig. 17.61, design a problem to help other...Ch. 17 - Prob. 24PCh. 17 - Determine the Fourier series representation of the...Ch. 17 - Find the Fourier series representation of the...Ch. 17 - For the waveform shown in Fig. 17.65 below, (a)...Ch. 17 - Obtain the trigonometric Fourier series for the...Ch. 17 - Prob. 29PCh. 17 - Prob. 30PCh. 17 - Prob. 31PCh. 17 - Prob. 32PCh. 17 - Prob. 33PCh. 17 - Prob. 34PCh. 17 - Prob. 35PCh. 17 - Prob. 36PCh. 17 - If the periodic current waveform in Fig. 17.73(a)...Ch. 17 - Prob. 38PCh. 17 - Prob. 39PCh. 17 - The full-wave rectified sinusoidal voltage in Fig....Ch. 17 - Prob. 42PCh. 17 - The voltage across the terminals of a circuit is...Ch. 17 - Prob. 44PCh. 17 - A series RLC circuit has R = 10 , L = 2 mH, and C...Ch. 17 - Prob. 46PCh. 17 - Prob. 47PCh. 17 - Prob. 48PCh. 17 - Prob. 49PCh. 17 - Prob. 50PCh. 17 - Prob. 51PCh. 17 - Prob. 52PCh. 17 - Prob. 53PCh. 17 - Find the exponential Fourier series for the...Ch. 17 - Obtain the exponential Fourier series expansion of...Ch. 17 - The Fourier series trigonometric representation of...Ch. 17 - Prob. 57PCh. 17 - Find the exponential Fourier series of a function...Ch. 17 - Prob. 59PCh. 17 - Obtain the complex Fourier coefficients of the...Ch. 17 - The spectra of the Fourier series of a function...Ch. 17 - Prob. 62PCh. 17 - Plot the amplitude spectrum for the signal f2(t)...Ch. 17 - Prob. 64PCh. 17 - Prob. 65PCh. 17 - Prob. 66PCh. 17 - Prob. 67PCh. 17 - Prob. 68PCh. 17 - Prob. 69PCh. 17 - Design a problem to help other students better...Ch. 17 - Prob. 71PCh. 17 - Prob. 72PCh. 17 - Prob. 73PCh. 17 - Prob. 74PCh. 17 - Prob. 75PCh. 17 - Prob. 76PCh. 17 - Prob. 77CPCh. 17 - Prob. 78CPCh. 17 - Consider the full-wave rectified sinusoidal...Ch. 17 - Prob. 82CP
Knowledge Booster
Similar questions
- Given the following rectangular wave: f(t) = {1/2T, x∈[-T,T]; 0 for any other x} As T approaches 0, what happens to the Fourier transform of the function?arrow_forwardBe able to calculate the Fourier transform of a function Find the Fourier transform of each function. In each case, a is a positive real constant. f(t)=te−at,t≥0,f(t)=teat,t≤0.arrow_forwardFind the Fourier series representation of the even extension of the function Then, find the value of an if c = 3.95, b = 4, n = 6.arrow_forward
- Find the Fourier series representation of f(t) = 1 + t, −π < t < π , period 2π .arrow_forwardIf x[n] is input to a discrete time LTI system with impulse response h[n], find the Fourier series coefficients for the output y[n], where in the imagearrow_forwardsketch the magnitude spectrum of the fourier transform of x(t/2) when x(t) is shown belowarrow_forward
- A non-periodic signal, s(t), is described as follows: s(t) = 1 for 0 ≤ t ≤ 1 sec s(t) = 0 otherwise. Find out an expression for the magnitude of the frequency spectrum, S(f), for s(t).arrow_forwardThe Fourier transform of a continuous-time signal x(t) is denoted by X(ω). Apply CTFT properties to obtain the Fourier Transform of x(3t+7).arrow_forwardHow do I find the Fourier Series coefficients of (1 + cos(2pi*t))(cos(10*pi*t + pi/3)) using integrals? and not using integrals?arrow_forward
- Give a detailed explanation of what Fourier series of a function is. Furthermore, determine the Fourier series of the function g(x) shown below on the interval for x∈ [-3, 3] , {-1, -3≤x<0} {1, 0<x≤3}arrow_forwardRegarding Signals and Systems, the Fourier Transformation of x(t) is given by X(jω)=F{x(t)}. The time duality property is X(jt)=2πx(-ω). My question is how do you go from x(t) to X(jt) and from x(-ω) to X(jω)? Thank you!arrow_forwardType using Kepord or will dislike can anyone explain what the discussion could be make from the graphs respectively ? question : the fourier transform of the rectangular function numerically by sampling it 256 times over the time interval 0<= t < 0.2.arrow_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,