Floating-Point to Logarithmic Encoder Error Analysis

Thanos Stouraitis; Fred J. Taylor

doi:10.1109/12.2232

Floating-Point to Logarithmic Encoder Error Analysis

Thanos Stouraitis, Fred J. Taylor

Electrical Engineering

University of Florida

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

The logarithmic number System (LNS) supports high-speed, high-precision arithmetic. It is envisioned as a possible arithmetic coprocessor attachment to a floating-point (FLP) processor. An error analysis of an FLP to LNS encoder is presented. Analytic expressions for the probability density function of the encoding error are derived for a number of cases, according to the memory word lengths used for the encoding. Simulation was employed to verify the theoretical results.

Original language	British English
Pages (from-to)	858-863
Number of pages	6
Journal	IEEE Transactions on Computers
Volume	37
Issue number	7
DOIs	https://doi.org/10.1109/12.2232
State	Published - Jul 1988

Keywords

Error analysis
floating-point to LNS encoder
logarith mic number system

Access to Document

10.1109/12.2232

Cite this

@article{bf9d7146f79b4a4a97b99d9e7dbc1ea6,

title = "Floating-Point to Logarithmic Encoder Error Analysis",

abstract = "The logarithmic number System (LNS) supports high-speed, high-precision arithmetic. It is envisioned as a possible arithmetic coprocessor attachment to a floating-point (FLP) processor. An error analysis of an FLP to LNS encoder is presented. Analytic expressions for the probability density function of the encoding error are derived for a number of cases, according to the memory word lengths used for the encoding. Simulation was employed to verify the theoretical results.",

keywords = "Error analysis, floating-point to LNS encoder, logarith mic number system",

author = "Thanos Stouraitis and Taylor, {Fred J.}",

year = "1988",

month = jul,

doi = "10.1109/12.2232",

language = "British English",

volume = "37",

pages = "858--863",

journal = "IEEE Transactions on Computers",

issn = "0018-9340",

publisher = "IEEE Computer Society",

number = "7",

}

TY - JOUR

T1 - Floating-Point to Logarithmic Encoder Error Analysis

AU - Stouraitis, Thanos

AU - Taylor, Fred J.

PY - 1988/7

Y1 - 1988/7

N2 - The logarithmic number System (LNS) supports high-speed, high-precision arithmetic. It is envisioned as a possible arithmetic coprocessor attachment to a floating-point (FLP) processor. An error analysis of an FLP to LNS encoder is presented. Analytic expressions for the probability density function of the encoding error are derived for a number of cases, according to the memory word lengths used for the encoding. Simulation was employed to verify the theoretical results.

AB - The logarithmic number System (LNS) supports high-speed, high-precision arithmetic. It is envisioned as a possible arithmetic coprocessor attachment to a floating-point (FLP) processor. An error analysis of an FLP to LNS encoder is presented. Analytic expressions for the probability density function of the encoding error are derived for a number of cases, according to the memory word lengths used for the encoding. Simulation was employed to verify the theoretical results.

KW - Error analysis

KW - floating-point to LNS encoder

KW - logarith mic number system

UR - http://www.scopus.com/inward/record.url?scp=0024053791&partnerID=8YFLogxK

U2 - 10.1109/12.2232

DO - 10.1109/12.2232

M3 - Article

AN - SCOPUS:0024053791

SN - 0018-9340

VL - 37

SP - 858

EP - 863

JO - IEEE Transactions on Computers

JF - IEEE Transactions on Computers

IS - 7

ER -

Floating-Point to Logarithmic Encoder Error Analysis

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this