How Do You Convert a Time Domain Waveform to Frequency Domain in MATLAB?

[cobraa_eyz]

Homework Statement

Dear all ,

Am new to matalb and am having some couple of problems. i want to convert the following wave form from time to frequency domain .

1.E=ACos(ωt+φ).[0,T]
I have made conversion by using integration by parts.Please find the MATLAB attached files.

ACos(ωt+φ)*exp(-jωt) , limit [0,T]

2. For T=n*pi/2ω where n= odd, how to generate odd values of "n".

3. Graph
When ever i try to plot a graph between Amplitude and Time , it generates error or when ever i plot a graph between two variable values e.g
T 1:45;
Pi 0:360;
"? Error using ==> mtimes
Inner matrix dimensions must agree."

Homework Equations

The Attempt at a Solution

T=n*pi/2w where w= omega
function L=laser()
%T=n*pi/2w where w= omega
w=2*pi*1.93*10^14;
phi= 0:360;
T=45;% just used to plot a graph

L= (-cos(phi)*w*sin(w*T)*exp(-j*w*T))+(w*cos(phi))-sin(phi)*(w*cos(w*T)*exp(-j*w*T)-w+ (w^2)*sin(w*T)*exp(-j*w*T)/(1+w^2))
subplot(1,1,1), plot(phi,L);
end

Thanks

 

[Valkarie]

in advance For question 2, the odd values of n can be generated by using a for loop. For example: w = 2*pi*1.93*10^14; n = 1; for n = 1:2:500 T = n*pi/2*w; end This will generate odd values for n from 1 to 500. For question 3, it looks like there is a problem with the syntax in your code. Try changing the lines T 1:45;Pi 0:360;to T = 1:45;phi = 0:360;

 

[Mene]

for your question. Frequency domain conversion is a common technique used in signal processing to analyze signals in the frequency domain rather than the time domain. This can be useful for identifying specific frequencies present in a signal and for filtering out unwanted frequencies.

In your case, it seems like you are trying to convert a waveform from the time domain to the frequency domain using MATLAB. Your approach of using integration by parts is a valid method for this conversion. However, it looks like you may have some errors in your code. Without seeing the MATLAB files you have attached, it is difficult for me to pinpoint the exact issue. I would suggest checking your code for any typos or syntax errors.

For your second question about generating odd values of "n" for T=n*pi/2ω, you can use a for loop or a vector to generate the values. For example, if you want to generate the first 10 odd values of "n", you could use the following code:

n = 1:2:19; % generates odd values from 1 to 19

Finally, for your third question about plotting a graph between amplitude and time, the error message you are receiving suggests that there is an issue with the dimensions of your variables. Make sure that the dimensions of your variables are compatible for multiplication. If you are still having trouble, try using the "plot" function with two separate vectors for the amplitude and time values, rather than using a function to define the values.

I hope this helps. Best of luck with your MATLAB homework!