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Calculating linear array gain (and beamformer gain)

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masudasim

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Hi
I am working on conventional frequency domain beamforming for linear microphone receive array. I have simulated 32 channels array data using white Gaussian noise with proper delays corresponding to target at 45 degree emitting 20KHz tonal. I beamformed this data to make 32 beams time series data.

To calculate array gain (or beamformer gain) I compare the 20 kHz tonal level in individual channel data and in beam time series data corresponding to 45 deg. Problem is that array gain/beamformer gain calculated in this way is approximately 16dB above theoretical array gain (i.e. 10*log10 (32) = 15dB).
Can any one kindly guide me where I am wrong?
Note: I have tried many simulations with different parameters but results were same.

THANKS
 

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