مرکز منطقه ای اطلاع رساني علوم و فناوري - When does the modular distance induce a metric in the binary case? (Corresp.)

DocumentCode :

935146

Title :

When does the modular distance induce a metric in the binary case? (Corresp.)

Author :

Ernvall, Sirpa

Volume :

Issue :

fYear :

1982

fDate :

7/1/1982 12:00:00 AM

Firstpage :

665

Lastpage :

668

Abstract :

The modular distance induces a metric if and only if the nonadjacent form of the modulus $M$ has one of the following forms: $1) 2^{n}+2^{n-2} \\pm 2^{i}$ , where $n-i\\geq 4; 2) 2^{n} - 2^{j} \\pm 2^{i}$ , where $2 \\leq n -j \\leq 5$ and $j-i\\geq 2; 3) 2^{n} \\pm 2^{j}$ , where $n -j \\geq 2; 4) 2^{n}$ .

Keywords :

Arithmetic coding; Bandwidth; Contracts; Decoding; Digital modulation; Error probability; NASA; Notice of Violation; Phase modulation; Satellites; Viterbi algorithm;

fLanguage :

English

Journal_Title :

Information Theory, IEEE Transactions on

Publisher :

ieee

ISSN :

0018-9448

Type :

jour

DOI :

10.1109/TIT.1982.1056538

Filename :

1056538

Link To Document :

https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=935146