Calculating Optimal Weights for MVDR Signal Processing Gain

Click For Summary

Discussion Overview

The discussion revolves around the calculation of optimal weights using the Minimum Variance Distortionless Response (MVDR) method for a uniformly spaced linear array of sensors. Participants explore the implications of obtaining a complex value for processing gain, addressing both theoretical and conceptual aspects of signal processing.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant calculated the optimal weights using the MVDR method and questioned the significance of obtaining a complex value for processing gain.
  • Another participant suggested that a phase shift could be represented by a complex gain.
  • A subsequent reply inquired whether the power could be represented simply by the real part of the complex gain.
  • Another participant clarified that the magnitude of the output determines the power, emphasizing the interpretation of complex numbers in terms of real and imaginary components as well as magnitude and phase angle.

Areas of Agreement / Disagreement

Participants express differing views on how to interpret complex values in the context of processing gain and power representation, indicating that the discussion remains unresolved with multiple perspectives presented.

Contextual Notes

The discussion does not resolve the assumptions regarding the interpretation of complex gains and their implications for power calculations in signal processing.

nikki92
Messages
37
Reaction score
0
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?
 
Engineering news on Phys.org
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.
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 37 ·
2
Replies
37
Views
5K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
9
Views
3K
  • · Replies 6 ·
Replies
6
Views
3K