Canonical Coordinate Geometry of Precoder and Equalizer Designs for Multichannel Communication1 1This work was supported by the National Science Foundation under Grant CCR-0112573.

For vector communication over a matrix channel, precoders and equalizers are now known for designs that minimize MSE, maximize SNR, minimize BER, or maximize information rate, under a power constraint [1]–[5]. Some of these designs may be made to be zero-LSI. For reduced-rank signal processing, designs are known for estimation at minimum MSE and maximum information rate [6]-[10]. These signal processing designs show that reduced-rank estimation …