Abstract: Disclosed is a method of communicating a complex vector, using one or more index bits, the method comprising quantizing the complex vector using a codebook, the codebook comprising a plurality of complex vectors mapped from real vectors that lie on a reflected simplex where the simplex is of dimension one less than twice the length of the complex vector; indexing the quantized vector to form the one or more index bits; and transmitting the index bits to the transmitter, thereby communicating the complex vector.

Abstract: The present invention relates to a system for localizing at least one sound source, comprising a set of spatially spaced apart sound sensors to detect sound from the at least one sound source and produce corresponding sound signals, and a frequency-domain beamformer responsive to the sound signals from the sound sensors and steered in a range of directions to localize, in a single step, the at least one sound source. The present invention is also concerned with a system for tracking a plurality of sound sources, comprising a set of spatially spaced apart sound sensors to detect sound from the sound sources and produce corresponding sound signals, and a sound source particle filtering tracker responsive to the sound signals from the sound sensors for simultaneously tracking the plurality of sound sources.