I am working with FMCW phased array radar with only upchirps. The range doppler matrix is obtained using the two dimensional fast Fourier transform on multiple chirps.
I want to obtain the angular spectrum per range velocity cell, so have taken range doppler bin for every antenna element and now I have a sample vector
1 X Nant), where
Nant is number of antenna elements present.
For this functionality I am using MATLAB's
pmusic (MUSIC algorithm), my question is that as MATLAB's function
pmusic requires correlation matrix, is it correct to just multiply the sample vector (
1 X Nant) with its complex conjugate and obtain correlation matrix of (size
Nant X Nant).
N.B. I have just one range doppler bin for each antenna element.
Providing the MATLAB code:
nTargets = 2; Rxx_outerproduct = rdSnapShot*rdSnapShot'; [powerSpectrumMUSIC,idxFreq] =pmusic(Rxx_outerproduct ,nTargets,'corr'); % Adjusting the frequency for zero centered angle idxFreq = idxFreq - max(idxFreq)./2; % Shifting the response to obtain zero centeric response powerSpectrumMUSIC=(powerSpectrumMUSIC); % Converting the frequency scale to direction of arrival scale idxAngle = asind(idxFreq/pi); angResponseMUSIC = (db(powerSpectrumMUSIC));