Calculating Optimal Weights for MVDR Signal Processing Gain

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The discussion focuses on calculating optimal weights using the MVDR method for a uniformly spaced linear array of sensors. The processing gain is defined as the output signal-to-interference ratio (SIR) divided by the input SIR. A complex value was obtained during calculations, raising questions about its validity. It is clarified that while the power is not represented solely by the real part, the magnitude of the output determines the power. Complex numbers can be interpreted in terms of their real and imaginary components or as a magnitude at a specific phase angle.
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.
 

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