Part 1: Exponential Fourier series The following MATLAB code calculates the exponential Fourier series coefficient for...
Reproduce Figures 9.2b and 9.2c on MATLAB, assuming that the square wave (Figure 9.2b) is a periodic symmetric square wave of normalized amplitude (A=1). Each student group should decide the power spectral density level of the channel noise. Compute the Fourier transform of the periodic square wave. clear all close all %%%% T=12*pi; %number of period x=linspace(0,T); t=x/pi y0=square(x); %square wave signal y0ft=fft(y0); %calculating Fourier Transformof signal y0fts=fftshift(y0ft); y0ftFinal=abs(y0ft); AWGN= rand(size(x)); %Calculating whit noise Att=(1/3); nSig= Att*AWGN; y=y0+nSig; %Square wave...
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...
Q1) For the periodic signals x() and ) shown below: x(t) YCO y(t) a) Find the exponential Fourier series for x(t) and y). b) Sketch the amplitude and phase spectra for signal x(). c) Use Parseval's theorem to approximate the power of the periodic signal x() by calculating the power of the first N harmonics, such that the strength of the Nth harmonic is 10% or more of the power of the DC component. Q1) For the periodic signals x()...
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)
signal and systems 3.11. For each of the following signals, compute the complex exponential Fourier series by using trigonometric identities, and then sketch the amplitude and phase spectra for all values of k , (a) x(t) = cos(51-7r/4) (b) x(1) sin! + cos[
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
Problem 2: For the signal g(t) t, a) (25 points) Find the exponential Fourier series to represent g(t) over the interval (-π, π). Sketch the spectra (amplitude and phase of Fourier series coefficients). b) (25 points) Find the average power of g(t) within interval (- ,r). Using this result and given that Σ00.-6, verify the Parseval's theorem
I wrote a Matlab program for the figure below. When I plot the waves, they look the same. Why do the two waves frequencies look same and How do I avoid it? (I really do need this part of the question answered.) N = 200; % Total number of time domain samples in simulation. Fs = 100 ;% sampling frequency. F1 = 10; % frequency of wave - 1. F2 = 90; % frequency of wave - 2. phi =...
Problem 6: I7 Points For the following periodic signal, x(t) 4OSesi a) Express the signal exponent +cos(9t) +2cos(15t) al in complex exponential Fourier series form. 13 r series coefficients and sketch the spectral line. [2 Find the fundamental frequency and identilY the harmonics in the signal. 12) Solution Problem 6: I7 Points For the following periodic signal, x(t) 4OSesi a) Express the signal exponent +cos(9t) +2cos(15t) al in complex exponential Fourier series form. 13 r series coefficients and sketch the...
3.11-For each of the following signals compute the complex exponential Fourier series by using trigonometric identities,and then sketch the amplitude and phase spectra for all values of k (a) x(t)-cos(5t-π/4) (b) x(t) sint+ cos t 756 Chapter & The Series and fourier Translorm 023 4 5 ibi FIGURE Pa P33 3.13 Problems 157 in 0 14 12 3 I) ain FIGURE ,3.3 (antísndj (c) sti)-cos(1-1) + sin(,-%) 3.12. Determine the exponential Fourier series tor the Following periodic signals 3.11-For each...