How to plot the spectrum of a high frequency sine wave of above 1GHz

Please help me with the matlab code

Answer 1

[Wayne King]

Do you have the Signal Processing Toolbox:

Fs = 4e9;
t = 0:1/Fs:0.001-(1/Fs);
x = cos(2*pi*1.5e9*t);
[Pxx,F] = periodogram(x,[],length(x),Fs,'power');
plot(F,Pxx)

If you do not, you can use fft()

xdft = fft(x);
xdft = xdft(1:length(x)/2+1); % works for even length x
deltaf = Fs/length(x);
freqvec = 0:deltaf:Fs/2;
plot(freqvec,abs(xdft))

Note that latter is not scaled.

[Praveen kumar]

Thank you...

[Praveen kumar]

After performing autocorrelation to sinusoidal signal, i'm not getting the spectrum at high frequencies.

[Praveen kumar]

I have written the following code inorder to determine the Spectrum of autocorrelated noisy sine signal. But, I'm not able to get the spectrum for higher frequencies above 1MHz. Please inform where i have to change the code... close all; clear all; clc; %% Time specifications: Fs = 1e4; % samples per second dt = 1/Fs; % seconds per sample StopTime = 1; % seconds t = (0:dt:StopTime-dt)'; N = size(t,1);

   %%Sine wave:
   Fc = 1e3;                       % hertz
   x = sin(2*pi*Fc*t);
   noisy_x = x + 0.5*randn(size(x));
   y = xcorr(noisy_x,5e3,'biased');
   display(size(y));
   subplot(2,1,1);
   plot(t,x);
   title('Sine signal');
   subplot(2,1,2);
   plot(t,noisy_x);
   title('Noisy signal');

   %%Fourier Transform:
   X = fftshift(fft(y));

   %%Frequency specifications:
   dF = Fs/N;                      % hertz
   f = -Fs/2:dF:Fs/2;           % hertz
   display(size(f));
   display(size(X));

   %%Plot the spectrum:
   figure;
   plot(f,abs(X)/N);
   xlabel('Frequency (in hertz)');
   title('Autocorrelation spectrum');