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Use MATLAB to solve this question: Lab Exercises: Fourier Series Coefficients 4 In this lab, the...
2- In cach of the following, we specify the Fourier series coefficients of a CT signal that i periodic with period To 4. Determine the signal x(t) in each case k 0 a) a sin ,k 0 km -j= ei= (j* = e#. Hint: using Euler's formula: Jkl3 jk b) a fo.0therwise -4 (1,k even c) a 2.k odd Hint: Suppose x(t) 8(t-kT) ke- is an impulse train with impulses spaced every T seconds apart (Figure 2). This is a...
Please help by writing a MATLAB Code for the this lab
Fourier Series Synthesis
You will consider five continuous-time signals
1-
2-
for
A
D
4-
We were unable to transcribe this imageWe were unable to transcribe this imager(t) e-t for-1 < t > 1 x(t) 2 2 4 3 3 x(t) -4 2 2 4 2 1, 0sts be a periodic signal with fundamental period T = 2 and Fourier coefficients ak. (a) Determine the value of ao (b)...
could you please solve this problem using
Matlab
4. Using the Fourier series coefficients {ak} obtained, construct the following signal N(t)>akekwot k=-N where ak is the kth Fourier series coefficients of r(t). Therefore, N(t) is the so-called 2N-term approximation of original signal r(t). In one figure, plot âN(t) versus t, for N 10, 20, 30, 40. In the same plot, also plot original signal (t). Visually compare N(t) and r(t) in the figure and comment on your observations
f) Calculate the coefficients of the trigonometric form of the Fourier series
numerically in MATLAB and graphically represent the one-sided spectrum
(width and phase) frequency for n up to 10 compared to the analytics results.
g) From the coefficients of the trigonometric form of the Fourier series ,
calculate the coefficients of the exposure series and present the two-sided spectrum (width and phase) frequency.
h) Find the average and active value of the signal from the Fourier expansion.
i) Check...
PLZ shows you Matlab Code
X(t) 2 2 46 1. compute the Fourier Series coefficients, ck for the signal x(t) 2. plot magnitude of c and the phase of ck in separate plots (use subplot command) plot the Fourier Series coefficients for the square wave signal: ck(12/9) sinc(2"k/3)
During lab 4, we have seen numerical implementation of Fourier Series for periodic signals. As first part of this assignment, you need to write a Matlab function that would take an array representing a single period of a signal (x), corresponding time array (t), and return the Fourier Series coefficients (Ck) in exponential form. The function should also be able to take two (2) optional input arguments: number of Fourier coefficients (Nk) and plot option (p). Use the template ‘fourier_series_exp.m’...
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...
2.For the periodic DT signal shown in Top, a) determine the
Fourier Series Coefficients. b) Use MATLAB to generate a spectral
plot (magnitude plot and a separate phase plot). c) Use MATLAB to
generate and plot the signal as a DTFS expansion of the periodic
signal. Plot over an interval containing several periods. Make sure
to include the MATLAB code
x[ri] -9 63 3 9 12 n 1. For the periodic DT signal shown in Top, a) determine the Fourier...
Please send the Matlab code
2. Compute the Fourier series coefficients for x(t) using MATLAB and plot the double-sided spectra up to the 10th harmonic. (20 points) 수 x(t) -10 10 20 30
Let x(t) = t, 0<t 1 and Fourier series coefficients a , be a periodic signal with fundamental period of T 2 -t,-1t0 dz(t) a) Sketch the waveform of r(t)d3 marks) b) Calculate ao (3 marks) c) Determine the Fourier series representation of gt)(4 rks) d) Using the results from Part (c) and the property of continuous-time Fourier series to dr(t) determine the Fourier series coefficients of r(t) (4 marks)