The Computation of Line Spectrum Pair Frequencies Using Tschirnhaus Transform

The Computation of Line Spectrum Pair Frequencies Using Tschirnhaus Transform

碩士 === 國立中山大學 === 應用數學系研究所 === 97 === The Tschirnhaus Transform is a method to solve quartic equations. If the quartic equation has four distinct real roots, a low computation complexity algorithm is proposed and applied to the the 10-order Line Spectrum Pairs(LSP).However, during the procedures of...

Full description

Bibliographic Details
Main Authors: Yu-Syuan Chang, 張簡玉瑄
Other Authors: Tzon-Tzer Lu
Format: Others
Language:en_US
Online Access:http://ndltd.ncl.edu.tw/handle/ezxpcv
id ndltd-TW-097NSYS5507002
record_format oai_dc
spelling ndltd-TW-097NSYS55070022019-05-29T03:42:52Z http://ndltd.ncl.edu.tw/handle/ezxpcv The Computation of Line Spectrum Pair Frequencies Using Tschirnhaus Transform 用Tschirnhaus轉換的方式計算線頻譜對 Yu-Syuan Chang 張簡玉瑄 碩士 國立中山大學 應用數學系研究所 97 The Tschirnhaus Transform is a method to solve quartic equations. If the quartic equation has four distinct real roots, a low computation complexity algorithm is proposed and applied to the the 10-order Line Spectrum Pairs(LSP).However, during the procedures of calculation, the existence of the inverse trigonometric functions increase the computation load of the hardware implementation. We also propose some methods to solve this problem and increase the speed of the calculation. A table of comparison result with the previous proposed Complex-Free Farrari formula is also included. Tzon-Tzer Lu Yaotsu Chang 呂宗澤 張耀祖 學位論文 ; thesis 46 en_US
collection NDLTD
language en_US
format Others
sources NDLTD
description 碩士 === 國立中山大學 === 應用數學系研究所 === 97 === The Tschirnhaus Transform is a method to solve quartic equations. If the quartic equation has four distinct real roots, a low computation complexity algorithm is proposed and applied to the the 10-order Line Spectrum Pairs(LSP).However, during the procedures of calculation, the existence of the inverse trigonometric functions increase the computation load of the hardware implementation. We also propose some methods to solve this problem and increase the speed of the calculation. A table of comparison result with the previous proposed Complex-Free Farrari formula is also included.
author2 Tzon-Tzer Lu
author_facet Tzon-Tzer Lu
Yu-Syuan Chang
張簡玉瑄
author Yu-Syuan Chang
張簡玉瑄
spellingShingle Yu-Syuan Chang
張簡玉瑄
The Computation of Line Spectrum Pair Frequencies Using Tschirnhaus Transform
author_sort Yu-Syuan Chang
title The Computation of Line Spectrum Pair Frequencies Using Tschirnhaus Transform
title_short The Computation of Line Spectrum Pair Frequencies Using Tschirnhaus Transform
title_full The Computation of Line Spectrum Pair Frequencies Using Tschirnhaus Transform
title_fullStr The Computation of Line Spectrum Pair Frequencies Using Tschirnhaus Transform
title_full_unstemmed The Computation of Line Spectrum Pair Frequencies Using Tschirnhaus Transform
title_sort computation of line spectrum pair frequencies using tschirnhaus transform
url http://ndltd.ncl.edu.tw/handle/ezxpcv
work_keys_str_mv AT yusyuanchang thecomputationoflinespectrumpairfrequenciesusingtschirnhaustransform
AT zhāngjiǎnyùxuān thecomputationoflinespectrumpairfrequenciesusingtschirnhaustransform
AT yusyuanchang yòngtschirnhauszhuǎnhuàndefāngshìjìsuànxiànpínpǔduì
AT zhāngjiǎnyùxuān yòngtschirnhauszhuǎnhuàndefāngshìjìsuànxiànpínpǔduì
AT yusyuanchang computationoflinespectrumpairfrequenciesusingtschirnhaustransform
AT zhāngjiǎnyùxuān computationoflinespectrumpairfrequenciesusingtschirnhaustransform
_version_ 1719193158525386752

Similar Items