NDLI: A two-level method using a decimation-in-degree algorithm for the computation of the LSP frequencies

Content Provider	IEEE Xplore Digital Library
Author	Jau-Hung Chen Chung-Hsien Wu Jhing-Fa Wang
Copyright Year	1994
Description	Author affiliation: Inst. of Inf. Eng., Nat. Cheng Kung Univ., Tainan, Taiwan (Jau-Hung Chen; Chung-Hsien Wu; Jhing-Fa Wang)
Abstract	A two-level method is proposed in this study for rapidly and accurately computing the line spectrum pair (LSP) frequencies. An efficient decimation-in-degree (DID) algorithm is also proposed in the first level which can transform any symmetric or antisymmetric polynomial with real coefficients into the other polynomials with lower degrees and without any transcendental functions. The DID algorithm not only can avoid prior storage or large calculation of transcendental functions but can also be easily applied towards those fast root-finding methods. In the second level, the Newton-Raphson method is applied. The process of the Newton-Raphson method can be accelerated by adopting a deflation scheme along with the interlacing property of LSP frequencies for selecting the better initial values. A few conventional numerical methods are also implemented to make a comparison with the two-level method. Experimental results indicate that the two-level method is the fastest one.
Starting Page	400
Ending Page	405
File Size	482791
Page Count	6
File Format	PDF
ISBN	0780324404
DOI	10.1109/APCCAS.1994.514583
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1994-12-05
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Polynomials Frequency estimation Newton method Linear predictive coding Finite impulse response filter Acceleration Information analysis Discrete time systems Speech recognition Speaker recognition
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
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3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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