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一种基于牛顿迭代法求解LSF的有效算法 被引量:3

An Efficient Method for the Computation of Line Spectral Frequencies Based on Newton-Raphson
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摘要 文章针对10阶LSF参数求解,提出一种基于牛顿迭代法的有效算法,并通过实验比较了该算法和经典的Kabal搜索算法的运算量、精度。该算法避免了多项式降次,计算量又远远小于经典的搜索算法,适于用大规模集成电路实现,而且可以推广应用于求解更高阶LSF参数。 Focusing on the characteristics of 10th-order LSF (line spectral frequencies), this paper proposed an efficient method based on Newton Raphson. Experiment and analysis was given to compare the precision and computational quantity between our method and the traditional Kabal's method. Our algorithm not only avoids polynomial deflation but also is more efficient than traditional rootfinding algorithm and it is fit for being realized by VLSI. Furthermore, our method could be deduced to high-order LSF application.
出处 《微电子学与计算机》 CSCD 北大核心 2006年第4期149-152,共4页 Microelectronics & Computer
关键词 语音编码 线谱频率 牛顿迭代法 大规模集成电路 Speech coding, LSF, Newton-Raphson, VLSI
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参考文献5

  • 1Kabal P,Ramachandran R P.The Computation of Line Spectral Frequencies Using Chebyshev Polynomials.Acoustics,Speech,and Signal Processing,IEEE Tran.,Dec.1986,34(6):1419~1426
  • 2Chung Hsien Wu,Jau-Hung Chen.A Novel Two-level Method for the Computation of the LSP Frequencies Using a Decimation-in-degree Algorithm.Speech and Audio Processing,IEEE Tran.,March 1997,5(2):106~115
  • 3Semenov V,Kalyuzhny A,Kovtonyuk A.Efficient Calculation of Line Spectral Frequencies Based on New Method for Solution of Transcendental Equations.ICASSP,2003,2
  • 4Reynolds D L,Head L M,Ramachandran R P.VLSI Architecture for the Efficient Computation of Line Spectral Frequencies.ISCAS,2003,3
  • 5J StoerR Bulirsch[德].孙文瑜译.数值分析引论.南京大学出版社出版,2003

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