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NSYSU

1. Chang, Yu-Syuan. The Computation of Line Spectrum Pair Frequencies Using Tschirnhaus Transform.

Degree: Master, Applied Mathematics, 2009, NSYSU

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. Advisors/Committee Members: Tzon-Tzer Lu (committee member), Shi-Huang Chen (chair), Yaotsu Chang (committee member), Ta-Chih guan (chair).

Subjects/Keywords: quartic equation; Tschirnhaus Transform; LSP

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Chang, Y. (2009). The Computation of Line Spectrum Pair Frequencies Using Tschirnhaus Transform. (Thesis). NSYSU. Retrieved from http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0202109-095219

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Chang, Yu-Syuan. “The Computation of Line Spectrum Pair Frequencies Using Tschirnhaus Transform.” 2009. Thesis, NSYSU. Accessed December 13, 2019. http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0202109-095219.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Chang, Yu-Syuan. “The Computation of Line Spectrum Pair Frequencies Using Tschirnhaus Transform.” 2009. Web. 13 Dec 2019.

Vancouver:

Chang Y. The Computation of Line Spectrum Pair Frequencies Using Tschirnhaus Transform. [Internet] [Thesis]. NSYSU; 2009. [cited 2019 Dec 13]. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0202109-095219.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Chang Y. The Computation of Line Spectrum Pair Frequencies Using Tschirnhaus Transform. [Thesis]. NSYSU; 2009. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0202109-095219

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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