مرکز منطقه ای اطلاع رساني علوم و فناوري - Linear feedback rate bounds for regressive channels (Corresp.)

DocumentCode :

925084

Title :

Linear feedback rate bounds for regressive channels (Corresp.)

Author :

Butman, S.

Volume :

Issue :

fYear :

1976

fDate :

5/1/1976 12:00:00 AM

Firstpage :

363

Lastpage :

366

Abstract :

This article presents new tighter upper bounds on the rate of Gaussian autoregressive channels with linear feedback. The separation between the upper and lower bounds is small. We have $frac{1}{2} \\ln \\left( 1 + \\rho \\left( 1+ \\sum _{k=1}^{m} \\alpha _{k} x^{- k} \\right)^{2} \\right) \\leq C_{L} \\leq frac{1}{2} \\ln \\left( 1+ \\rho \\left( 1+ \\sum _{k = 1}^{m} \\alpha _{k} / \\sqrt {1 + \\rho} \\right)^{2} \\right), mbox{a\\ll \\rho}$ , where $\\rho = P/N_{0}W, \\alpha _{l}, \\cdots , \\alpha _{m}$ are regression coefficients, $P$ is power, $W$ is bandwidth, $N_{0}$ is the one-sided innovation spectrum, and $x$ is a root of the polynomial $(X^{2} - 1)x^{2m} - \\rho \\left( x^{m} + \\sum ^{m}_{k=1} \\alpha _{k} x^{m - k} \\right)^{2} = 0.$ It is conjectured that the lower bound is the feedback capacity.

Keywords :

Autoregressive processes; Feedback communication; Bandwidth; Channel capacity; Colored noise; Feedback; Forward contracts; Information theory; Mathematics; Propulsion; Space technology; Upper bound;

fLanguage :

English

Journal_Title :

Information Theory, IEEE Transactions on

Publisher :

ieee

ISSN :

0018-9448

Type :

jour

DOI :

10.1109/TIT.1976.1055548

Filename :

1055548

Link To Document :

https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=925084