%matlab
Ts=0.5e-1;
fs=1/Ts;
t=-2:Ts:2;
x=cos(6*pi.*t).*(exp(-pi.*(t.^2)));
X=fftshift(fft(x));
f=linspace(-fs/2,fs/2,length(t));
plot(f,abs(X)./fs);
xlabel('f(Hz)');
ylabel('|X(f)|');
title ('magnitude');
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a) Use MATLAB to find the Fourier Transform F(w) of the following function f(t). b) Plot...
Q3. There exists a signal f(t) whose Laplace Transform has the following poles Pole-Zero Map 093 087 0.78 064 0.8 0 97 0.6 0.40 99a 0.2 25 1.5 05 20.2 0.4 0.92 0.6 097 0.8 093 087 078 064 2.5 1.5 0.5 Real Axis (seconds) e2tf(t) and P(jo) converges. Decide whether f(t) is right sided/left Another function p(t) sided/ 2 sided. Justify your answer clearly. Hint: P(ja) refers to Fourier Transform of p(t) Q3. There exists a signal f(t) whose...
The Fourier Transform of a certain time function, x(t), is shown below F{x(t) x(f) 2.5 7 1.5 1 0.5 -30 -20 -10 10 20 30 f(Hz) equation for X(f A. Write an B. Write an equation for x(t). C. Write and equation for the Fourier Transform of x(2t) and draw a sketch D. Write and equation for the Fourier Transform of x(t) and draw a sketch equation for the Fourier Transform of x()cos(2 E. Write an 15 t and draw...
The Fourier transform of f(t), F(W) is as follows: F(W) = F[f(t)] vendºsce-iat de Find the Fourier transform of f(t): 0 < \t] =1 = 1t| 10 t = 0,|t| > 1 (1) f(t) = {i (2) f(t) = {2 (t2 0 < t < 1 lo |t| > 1
The Fourier transform W(f) of a time domain signal w(t) is given by: W(f) = 5.87 exp[ -( 0.047 f )2 ] Find the imaginary part of the Fourier transform of the shifted signal w(t - 0.50) at the frequency 3.24 Hz. The correct answer is 3.93
Question 4 (2 marks) Attempt 1 Find the Fourier transform of. cos(19)e7t j(t)= Your answer should be expressed as a function of w using the 2Tt correct syntax. Fourier transform Skipped is F(w) = Question 4 (2 marks) Attempt 1 Find the Fourier transform of. cos(19)e7t j(t)= Your answer should be expressed as a function of w using the 2Tt correct syntax. Fourier transform Skipped is F(w) =
4. Using Matlab: 4.1. Plot | H(n the following cases: (the frequency range: 0-20 KHz) a. a 0.2 0.5 ms. b. α-0.8 C.α-0.2 c-0.1 ms. c 0.5 ms. 4.2. Consider a signal whose Fourier Transform is given by: 50000ω Plot the transfer function l x(o) l and the output l Y(o) l in each of the above cases (stated in part 4.1) 4.3. Find the Inverse Fourier Transorms of| X(oand Y(o) , and generate the audio signals x and y...
Exercises: u used to the instructor b the end of next lab. 20 102 Plot the f(t)-sinc(20r) cos(300t)sinc (10t) cos(100t) Use the fast Fourier transform to find the magnitude and phase spectrum of the signal and plot over an appropriate range. Use appropriate values for the time interval and the sampling interval. Note that in Matlab sinc(x)-, so we need to divide the argument by n to make it match the given function. Le, sinc(20t/pi) Hint: Use the parameters from...
Please finish these questions. Thank you Given find the Fourier transform of the following: (a) e dt 2T(2 1) 4 cos (2t) (Using properties of Fourier Transform to find) a) Suppose a signal m(t) is given by m()-1+sin(2 fm) where fm-10 Hz. Sketch the signal m(t) in time domain b) Find the Fourier transform M(jo) of m(t) and sketch the magnitude of M(jo) c) If m(t) is amplitude modulated with a carrier signal by x(t)-m(t)cos(27r f,1) (where fe-1000 Hz), sketch...
I'm trying to solve this differential equations by using matlab and I've got a plot from the code attached. But I wanna get a plot of completely sinusoidal form. If I can magnify the plot and expand x-axis, maybe we can get the sinusoidal form. So help me with this problem by using matlab. Example is attached in below. One is the plot from this code and another is example. function second_order_ode2 t=[0:0.001:1]; initial_x=0; initial_dxdt=0; [t,x]=ode45(@rhs,t,[initial_x initial_dxdt]); plot(t,x(:,1)) xlabel('t') ylabel('x')...
how to derive the underlying signal x(t) using the definition of the Inverse Fourier transform Inverse Fourier Transforms by Definition Plot the following spectra and using the definition of the inverse Fourier transform, derive the underlying signal z(t). 1. Fał(w) w rect(w/wo) 2. Ffa) cos(w) rect (w/T) Inverse Fourier Transforms by Definition Plot the following spectra and using the definition of the inverse Fourier transform, derive the underlying signal z(t). 1. Fał(w) w rect(w/wo) 2. Ffa) cos(w) rect (w/T)