Mullis, Clifford T., 1943-, authorScharf, Louis L., authorIEEE, publisher2007-01-032007-01-032000Scharf, Louis L. and Clifford T. Mullis, Canonical Coordinates and the Geometry of Inference, Rate, and Capacity, IEEE Transactions on Signal Processing 48, no. 3 (March 2000): 824-831.http://hdl.handle.net/10217/749Canonical correlations measure cosines of principal angles between random vectors. These cosines multiplicatively decompose concentration ellipses for second-order filtering and additively decompose information rate for the Gaussian channel. Moreover, they establish a geometrical connection between error covariance, error rate, information rate, and principal angles. There is a limit to how small these angles can be made, and this limit determines channel capacity.born digitalarticleseng©2000 IEEE.Copyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright.filteringcanonical correlationschannel capacitycanonical coordinatesinformation rateText