Beamforming Design for Minimizing the Signal Power Estimation Error
Por:
Ollila E., Mestre X., Raninen E.
Publicada:
1 ene 2026
Resumen:
We study the properties of beamformers in their ability to either maintain or estimate the true signal power of the signal of interest (SOI). Our focus is particularly on the Capon beamformer and the minimum mean squared error (MMSE) beamformer. The Capon beamformer, also known as the minimum power distortionless response (MPDR) or the minimum variance distortionless response (MVDR) beamformer, is a widely used method in array signal processing. A curious feature of both the Capon and the MMSE beamformers is their tendency to either overestimate or underestimate the signal power. That is, the power estimates of their output signals are not asymptotically unbiased (as the sample size approaches infinity). To address this issue, we propose to shrink the Capon beamformer by finding a scaling factor that minimizes the mean squared error (MSE) of the signal power estimate. The new beamformer, referred to as the Capon+beamformer, is evaluated against the Capon and MMSE beamformers in terms of signal power bias and MSE, and signal waveform MSE. The Capon+ beamformer strikes a better balance between signal power and waveform estimation while also exhibiting minimal bias, which approaches zero as the sample size increases. © 2026 IEEE.
Filiaciones:
Ollila E.:
Aalto University, Department of Information and Communications Engineering, Aalto, FI-00076, Finland
Mestre X.:
Centre Tecnològic de Telecomunicacions de Catalunya, CERCA-CTTC, Av. Carl Friedrich Gauss 7, Castelldefels, 08860, Spain
Raninen E.:
Nokia Bell Labs, Espoo, Finland
hybrid, All Open Access; Hybrid Gold Open Access
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