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Suppose that a multiinput/multioutput channel is described by a time-invariant, linear operator H , which maps an input vector waveform U(.) to an output vector waveform y ( . ) . The input U(.) is assumed to be bounded in energy ( L , norm) on the time interval [O,T]. Let N"",(T,e) denote the maximum number of inputs to H for which any pair of distinct outputs are separated by at least E in L 2 norm. The limit of [log, N"",(T, E ) ] / T as T + 3~ is known as "€-rate." Here we extend the boundsdoi:10.1109/18.57207 fatcat:cwe7rayakzghraupl3y2vkxpgi