





3) Given three sinusoids with the following amplitude and phases (t)-Scos(2x (1200+0.25x) a. Crea...
3) Given three sinusoids with the following amplitude and phases (t)-Scos(2x (1200+0.25x) a. Create a MATLAB program to sample each sinusoid and generate a sum of three sinusoids, that is, х(n)=x1(nHx:(n)+xy(n), using a sampling rate of 8000 Hz, and plot the sum x(n) over a range of time that will exhibit approximately 0.1 second. (10 pts) b. Use the MATLAB function fO to compute DFT coefficients, and plot and examine the spectrum of the signal x(n).(10 pts Write a MATLAB...
MATLAB Code Question
alpha = 2.3
beta = 4.3
zeta = 9.1
PROBLEM 4 (20 points). Consider three sinusoids with the following amplitudes and phases a.cs(2n(500t)) β.cos(2n(500t) +0.5r) x1n] x2[n] rn = cos(2(500t)0.75) Create a MATLAB program to sample each sinusoid and generate a sum of three sinusoids, that is using a sampling rate of 8,000 Hz over a range of 0.1 seconds Use the MATLAB function stem) to plot r[n] for the first 20 samples Use the MATLAB function...
Please can you solve it using MATLAB.
(1) Generate random signals [n] and hn, each of length N, and measure the time it takes to compute the linear convolution of r[n using the linear convolution definition and using the FFT method . Plot a graph of the results for N 104 to 10 in steps of 10. (2) Consider the signal x[n]-cos(0.3n),。£11S 100. Generate a plot of: ·The magnitude and phase of the DTFT of x[n] for 0 2π The...
Can you please help me answer Task 2.b?
Please show all work.
fs=44100; no_pts=8192;
t=([0:no_pts-1]')/fs;
y1=sin(2*pi*1000*t);
figure;
plot(t,y1);
xlabel('t (second)')
ylabel('y(t)')
axis([0,.004,-1.2,1.2]) % constrain axis so you can actually see
the wave
sound(y1,fs); % play sound using windows driver.
%%
% Check the frequency domain signal. fr is the frequency vector and
f1 is the magnitude of F{y1}.
fr=([0:no_pts-1]')/no_pts*fs; %in Hz
fr=fr(1:no_pts/2); % single-sided spectrum
f1=abs(fft(y1)); % compute fft
f1=f1(1:no_pts/2)/fs;
%%
% F is the continuous time Fourier. (See derivation...
Study the provided MATLAB programs entitled fft_spectrum, plot_fft_spectrum, and test_fft_spectrum. Using the program test_fft_spectrum, plot the approximate magnitude and phase spectra of the functions given in problem 3.2-1. Adjust your time axis so that the frequency plots are scaled conveniently, and important features of the time and frequency plots are clearly visible. This can be done by experimenting with the values of N, tmin, and tmax. And the 3.2-1 problems are: (a) pi(t/3) (b) Delta (3x/100) (c) pi (t-5/4) (d)...
3. One period of a signal is given by the following equation: +1 1 0<t <3 x(t) = 3 NI+ 3 st 35 5 st 57 N Hint: Use the heaviside function in MATLAB to define x(t) for each time interval. Compute and plot for two periods the approximations of x(t) using 1. Complex Exponential Fourier Series computing 7 and 15 terms 2. Trigonometric Fourier Series computing 11 and 17 terms Note: You should get two figures at the end...