How to put specific frequency in a specific bin in frequency domain?

I have eight tones as represented by f, and I want to the distance between every two tones is different as shown in the figure,

I have the frequency spacing, but I need to put the tones properly, and I need the resolution and the number of samples to be suitable for FFT consideration.

N=8;

r=1;

f_d=1e3;

M=4;

m=0:M-1;

fc=2.45e9;

%% freq spacing

for j=1:M

f_spac(j)=(1+m(j)*r)*f_d; %freq spacing

end

%% Generate the frequency vector

for i=1:M

f(:,i)=[fc+((1+m(i)*r)/2)*f_d; fc-((1+m(i)*r)/2)*f_d];

end

B = reshape(f,[1,N]);

fs=20*f(N/2); % Sampling frequency

Ts=1/fs; % Sampling time

t=0:Ts:1e3*Ts; % Time vector

Answer 1

[Raunak Gupta]

Hi,

I assume you have a time series vector which represents the signal. Taking fft of that will give the frequency response. Since in the above example code, the peak for each tone is clearly visible with no noise you may use findpeaks to find the local maxima. These will give corresponding frequency peaks. If the noise remains low the number of peaks will be equal to the number of tones present. This way by subtracting the successive peaks you can get the distance between each tone.