Title :
Sub-optimal power spectra for colored Gaussian channels
Author :
Schein, Brett ; Trott, Mitchell
Author_Institution :
Lab. for Inf. & Decision Syst., MIT, Cambridge, MA, USA
fDate :
29 Jun-4 Jul 1997
Abstract :
We consider a particular approximate “water-pouring” scheme applied to an additive, colored Gaussian noise channel. The scheme allocates power uniformly over an optimized band of frequencies. Within the set of all noise power spectral densities yielding a fixed water-pouring capacity, we find the noise spectrum yielding the smallest mutual information between input and output when the transmitter is restricted to use the sub-optimal scheme. The loss at high SNR is a fraction of a bit per Hz; the relative loss at low SNR is less than 15%
Keywords :
Gaussian channels; Gaussian noise; channel capacity; discrete time systems; information theory; minimax techniques; spectral analysis; additive colored Gaussian noise channel; band limited channel; discrete time channel; fixed water-pouring capacity; high SNR; low SNR; min-max problem; mutual information; noise power spectral densities; noise spectrum; optimized frequency band; sub-optimal power spectra; transmitter; water-pouring scheme; Additive noise; Frequency; Gaussian channels; Gaussian noise; Helium; Laboratories; Legged locomotion; Mutual information; Propagation losses; Signal to noise ratio;
Conference_Titel :
Information Theory. 1997. Proceedings., 1997 IEEE International Symposium on
Conference_Location :
Ulm
Print_ISBN :
0-7803-3956-8
DOI :
10.1109/ISIT.1997.613269
