Sub-optimal power spectra for colored Gaussian channels

Author

Schein, Brett ; Trott, Mitchell

Author_Institution

Lab. for Inf. & Decision Syst., MIT, Cambridge, MA, USA

fYear

1997

fDate

29 Jun-4 Jul 1997

Firstpage

340

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Theory. 1997. Proceedings., 1997 IEEE International Symposium on

Conference_Location

Ulm

Print_ISBN

0-7803-3956-8

Type

conf

DOI

10.1109/ISIT.1997.613269

Filename

613269