HOW DO I GET AMPLITUDE AND FREQUENCY FROM A WAVE SIGNAL

i have a wave signal data in the form of time and phase..how do i get the amplitude and frequency from it?

Answer 1

[Wayne King]

Use the discrete Fourier transform. Here is an example.

 t = 0:0.001:1-0.001; % sampled at 1 kHz
 x = cos(2*pi*100*t); % 100-Hz sine wave
 xdft = fft(x); % Obtain the DFT
 camp = 2/length(x)*xdft(101);

You see that camp is 1. Now let's change the phase.

 x = cos(2*pi*100*t-pi/4); % 100-Hz sine wave -- phase shift -pi/4
 xdft = fft(x); % Obtain the DFT
 camp = 2/length(x)*xdft(101);
 abs(camp)  % amplitude
 angle(camp) % phase

To get the frequency, you have to know how to convert between the DFT "bins" and a meaningful frequency

In my example, the sampling frequency is 1000 Hz, and the DFT bins are spaced at Fs/length(x). You have to keep in mind that the first bin is 0 Hz. Here I get the frequency of the maximum.

 [~,index] = sort(abs(xdft),'descend');
 Fs = 1000;
 (index(1)*Fs)/length(x)-(Fs/length(x))

[André Luiz Regis Monteiro]

Wayne, why do you use xdft(101)? Why 101? In your example you got the frequency of the maximum, but if my signal is composed by 4 signals added, how can I get this 4 frequencies? Thanks a lot.

[poornima.a A]

i am also having the same dounbt,why you had used that 101? what it means?.plz give the detailed answer sir

Answer 2

[James Muller]

How can I get the phase angle of an obtained signal?

Answer 3

[komal kumar]

angle(101)