A matrix method is described for encoding and decoding n-loudspeaker stereo to and from transmission channels, suitable for broadcasting and recording applications. The transmission signals for different numbers n of loudspeakers are mutually compatible such that listeners receiving n1-loudspeaker stereo transmissions via n2 loudspeakers will obtain psychoacoustically optimum results. This allows frontal-stage stereo signals originated for different numbers of loudspeakers to be mixed together freely, simplifying the operational aspects of multiloudspeaker stereo and HDTV stereo systems. Such heirarchical transmission systems are based on psychoacoustic decoders given in the companion paper "Optimum Reproduction Matrices for Multispeaker Stereo."
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