Calculating Optimal Weights for MVDR Signal Processing Gain

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nikki92
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Using a MVDR method for a uniformly spaced linear array of sensors, I calculated the optimal weights. The procesing gain is (SIR)out / (SIR)in . The value turned out complex. Is this possible/makes sense?
 
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A phase shift would be represented by a complex gain.
 
Thanks! So the power is simply represented by the real part?
 
No. The magnitude of the output determines the power. Complex numbers can be thought of as real and imaginary (in-phase and quadrature components), or as a magnitude at a phase angle.