filters (and hence can be treated as separate problems, in parallel, and then recombined afterward). Properly isolating these bands involves specialized non-standard filter banks. In contrast, for example, the standard fast Fourier transform (FFT) band-filters implicitly assume that the only frequencies present in the signal are exact harmonics; frequencies which lie between these harmonics will typically activate all of the FFT channels (which is not what is wanted in a beamform analysis). Instead, filters can be designed in which only local frequencies are detected by each channel (while retaining the recombination property to be able to reconstruct the original signal), and these are typically non-orthogonal unlike the FFT basis. See also References General Louay M. A. Jalloul and Sam. P. Alex, "Evaluation Methodology and Performance of an IEEE 802.16e System", Presented to the IEEE Communications and Signal Processing Society, Orange County Joint Chapter (ComSig), December 7, 2006. Available at: https://web.archive.org/web/20110414143801/http://chapters.comsoc.org/comsig/meet.html H. L. Van Trees, Optimum Array Processing, Wiley, NY, 2002. Jian Li, and Petre Stoica, eds. Robust adaptive beamforming. New Jersey: John Wiley, 2006. M. Soltanalian. Signal Design for Active Sensing and Communications. Uppsala Dissertations from the Faculty of Science and Technology (printed by Elanders Sverige AB), 2014. "A Primer on Digital Beamforming" by Toby Haynes, March 26, 1998 "What Is Beamforming?", an introduction to sonar beamforming by Greg Allen. "Dolph–Chebyshev Weights" antenna-theory.com A collection of pages providing a simple introduction to microphone array beamforming External links MU-MIMO Beamforming by Constructive Interference, Wolfram Demonstrations Project Acoustic measurement Antennas (radio) Signal processing Sonar Speech processing