. Find the amplitude-phase form of the Fourier series of the time function below by hand....
. Find the amplitude-phase form of the Fourier series of the time function below by hand. Show your work and box your answer.
f(t)=-2t for -0.5<t<0 and f(t)=2t for 0<t<0.5. f(t) is periodic with period T=1.
Homework Answers
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. Find the amplitude-phase form of the Fourier series of the
time function below by hand....
12-21 FOURIER SERIES Find the Fourier series of the given function f(x), which is assumed to have...
12-21 FOURIER SERIES Find the Fourier series of the given function f(x), which is assumed to have the period 2T. Show the details of your work. Sketch or graph the partial sums up to that including cos 5x and sin 5x. 9. f(x) -
12-21 FOURIER SERIES Find the Fourier series of the given function f(x), which is assumed to have the period 2T. Show the details of your work. Sketch or graph the partial sums up to that including...
For the periodic signal below, find the compact trigonometric fourier series and sketch the amplitude and...
For the periodic signal below, find the compact trigonometric
fourier series and sketch the amplitude and phase spectra. If
either the sine or cosine terms are absent in the Fourier series,
explain why. Please provide a detailed solution. Thanks!
For the periodi the amplitude and phase spectra. If either the sine or cosine terms a series, explain why 6.1-1. c signal shown below, find the compact trigonometric Fourier series and sketch re absent in the Fourier b) -20
Q#2 (22 points) (a) Find the Fourier series of the function by expanding the function as...
Q#2 (22 points) (a) Find the Fourier series of the function by expanding the function as an odd periodic function with a period of 10 units, as shown in Figure below. Plot the first, second, third and fourth partial sums of this Fourier series between -5 to +5 (Matlab is preferable). There will be single graph with 4 plots (b) Draw the amplitude versus frequency spectrum for first four non-zero terms of the Fourier series. Note that y(t) for -5<t<...
4. Consider the Fourier series for the periodic function given below: x(t) = 3 + 5Cost...
4. Consider the Fourier series for the periodic function given below: x(t) = 3 + 5Cost + 6 Sin(2t + /4) Find the Fourier coefficients of the combined trigonometric form for the signal.
Find a Fourier series expansion of the periodic function f(t) = π - 2t, 0 ≤ t ≤ π
Find a Fourier series expansion of the periodic function f(t) = π - 2t, 0 ≤ t ≤ π f(t) = f(t +π) Select one:
Electrical engineering problem 1251 Problem 2 For the circuit below a) Convert input V.lt) into Amplitude and phase form b) Find the output response V(t) using Fourier series in the circuit shown, dra...
Electrical engineering problem
1251 Problem 2 For the circuit below a) Convert input V.lt) into Amplitude and phase form b) Find the output response V(t) using Fourier series in the circuit shown, draw frequency spectrum (only amplityde) for until four non zero terms o v(t) 5Ω 1 H 100 mF
1251 Problem 2 For the circuit below a) Convert input V.lt) into Amplitude and phase form b) Find the output response V(t) using Fourier series in the circuit shown, draw...
Part 1: Exponential Fourier series The following MATLAB code calculates the exponential Fourier series coefficient for...
Part 1: Exponential Fourier series The following MATLAB code calculates the exponential Fourier series coefficient for the signal x(t) shown in the figure below, plots it's double sided amplitude spectrum IDn l, double sided phase spectrem LDn, and the resulting signal xn(t). 4r 4a Periodic signal x(t) 1.1 Show that the complex Fourier Series Coefficients written as: D 1.2 Use the following Matlab to general the two sided spectral line. 1.3 Execute the Matlab code with To = 2π and...
1. Using the Fourier series analysis Equation 3 for the periodic function r(t) shown in Figure 2....
1. Using the Fourier series analysis Equation 3 for the periodic function r(t) shown in Figure 2.1, determine both the DC coefficient ao and a general expression for the other Fourier series coefficients ak. Do this by hand, not in Matlab. Show all your work in your lab report. You can add these pages as hand-written pages, rather than typing them in to your lab report, if you prefer Hint 1: It will be easiest to integrate this function from...
Find the exponential-form Fourier series for the periodic function shown below. gt)
Find the exponential-form Fourier series for the periodic function shown below. gt)
12-21 FOURIER SERIES Find the Fourier series of the given function f(x), which is assumed to have the period 2T. Show the details of your work. Sketch or graph the partial sums up to that including cos 5x and sin 5x. 9. f(x) -
12-21 FOURIER SERIES Find the Fourier series of the given function f(x), which is assumed to have the period 2T. Show the details of your work. Sketch or graph the partial sums up to that including...
For the periodic signal below, find the compact trigonometric
fourier series and sketch the amplitude and phase spectra. If
either the sine or cosine terms are absent in the Fourier series,
explain why. Please provide a detailed solution. Thanks!
For the periodi the amplitude and phase spectra. If either the sine or cosine terms a series, explain why 6.1-1. c signal shown below, find the compact trigonometric Fourier series and sketch re absent in the Fourier b) -20
Q#2 (22 points) (a) Find the Fourier series of the function by expanding the function as an odd periodic function with a period of 10 units, as shown in Figure below. Plot the first, second, third and fourth partial sums of this Fourier series between -5 to +5 (Matlab is preferable). There will be single graph with 4 plots (b) Draw the amplitude versus frequency spectrum for first four non-zero terms of the Fourier series. Note that y(t) for -5<t<...
4. Consider the Fourier series for the periodic function given below: x(t) = 3 + 5Cost + 6 Sin(2t + /4) Find the Fourier coefficients of the combined trigonometric form for the signal.
Electrical engineering problem
1251 Problem 2 For the circuit below a) Convert input V.lt) into Amplitude and phase form b) Find the output response V(t) using Fourier series in the circuit shown, draw frequency spectrum (only amplityde) for until four non zero terms o v(t) 5Ω 1 H 100 mF
1251 Problem 2 For the circuit below a) Convert input V.lt) into Amplitude and phase form b) Find the output response V(t) using Fourier series in the circuit shown, draw...
Part 1: Exponential Fourier series The following MATLAB code calculates the exponential Fourier series coefficient for the signal x(t) shown in the figure below, plots it's double sided amplitude spectrum IDn l, double sided phase spectrem LDn, and the resulting signal xn(t). 4r 4a Periodic signal x(t) 1.1 Show that the complex Fourier Series Coefficients written as: D 1.2 Use the following Matlab to general the two sided spectral line. 1.3 Execute the Matlab code with To = 2π and...
1. Using the Fourier series analysis Equation 3 for the periodic function r(t) shown in Figure 2.1, determine both the DC coefficient ao and a general expression for the other Fourier series coefficients ak. Do this by hand, not in Matlab. Show all your work in your lab report. You can add these pages as hand-written pages, rather than typing them in to your lab report, if you prefer Hint 1: It will be easiest to integrate this function from...
Find the exponential-form Fourier series for the periodic function shown below. gt)
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