I need help with number 2 . Please answer in MATLAB thank you!
The following is the MATLAB code to calculate the energy of signals x(t) and z(t) in both time and frequency domains and plot Energy(X) and Energy(Z) as a function of frequency:
ecg_signal=load('ecg_signal.mat', '-ascii');
x=ecg_signal(:,2);
t=ecg_signal(:,1);
m=[0.8,0.9];
C=133*10^(-9);
R=10000;
N=length(x);
f= linspace(-250, 250, N);
w=2*pi*f;
H2=((1+m(2))*((2*i*w*R*C).^2+1))./((2*i*w*R*C).^2+4*(1-m(2))*i*w*R*C+1);
X=fft(x);
Z=X'.*H2;
z=ifft(Z);
Ex=sum(abs(x.^2));
fprintf('Energy of signal x(t) in time domain is: \n')
disp(Ex)
Ez=sum(abs(z.^2));
fprintf('Energy of signal z(t) in time domain is: \n')
disp(Ez)
Exf=sum(abs(X.^2))/N;
fprintf('Energy of signal x(t) in frequency domain is: \n')
disp(Ex)
Ezf=sum(abs(X.^2))/N;
fprintf('Energy of signal z(t) in frequency domain is: \n')
disp(Ez)
Energyx(1)=0;
for i=2:N
Energyx(i)=Energyx(i-1)+(X(i))^2;
end
subplot(2,1,1)
plot(f,abs(Energyx/N))
xlabel('f')
ylabel('Energy(X)')
Energyz(1)=0;
for i=2:N
Energyz(i)=Energyz(i-1)+(Z(i))^2;
end
subplot(2,1,2)
plot(f,abs(Energyz/N))
xlabel('f')
ylabel('Energy(Z)')
The following is the MATLAB output:
Energy of signal x(t) in time domain is:
4.8968
Energy of signal z(t) in time domain is:
17.6890
Energy of signal x(t) in frequency domain is:
4.8968
Energy of signal z(t) in frequency domain is:
17.6890
The plot is shown below:
Note: The values and the waveforms changes based on the uploaded ecg_signal.
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Please answer in MATLAB, thank you!
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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...
please answer all prelab questions, 1-4.
This is the prelab manual, just in case you need background
information to answer the questions. The prelab questions are in
the 3rd photo.
this where we put in the answers, just to give you an
idea.
Lab Manual Lab 9: Simple Harmonic Oscillation Before the lab, read the theory in Sections 1-3 and answer questions on Pre-lab Submit your Pre-lab at the beginning of the lab. During the lab, read Section 4 and...