A recursive matrix approach to spectral transformations for digital filters

机译：数字滤波器频谱转换的递归矩阵方法

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摘要

The problem of converting a digital prototype filter, H_p (z), to a filter with specified cutoff parameters involves computing a new filter, H (z), from the prototype filter. A new recursive matrix approach for the conversion is presented. This simpler and more direct method is used to convert digital lowpass-to-digital lowpass filters and digital lowpass-to-digital highpass filters.

机译：将数字原型滤波器H _{p （z）转换为具有指定截止参数的滤波器的问题涉及从原型滤波器计算新的滤波器H（z）。提出了一种新的递归矩阵转换方法。这种更简单，更直接的方法用于转换数字低通数字低通滤波器和数字低通数字高通滤波器。}

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来源
《Information Sciences and Systems, 2009. CISS 2009》|2009年|769-771|共3页
会议地点 Baltimore MD(US);Baltimore MD(US);Baltimore MD(US)
作者
Goodman T.J.; Aburdene M.F.;
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Lockheed Martin Syst. Integration, Owego, NY;

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digital filters; high-pass filters; low-pass filters; matrix algebra; recursive estimation; digital lowpass-to-digital highpass filters; digital lowpass-to-digital lowpass filters; recursive matrix approach; spectral transformations; Digital spectral transformations; IIR digital filters; digital highpass filters; digital lowpass filters;

机译：数字滤波器;高通滤波器;低通滤波器;矩阵代数;递归估计;数字低通至数字高通滤波器;数字低通至数字低通滤波器;递归矩阵方法;频谱变换;数字频谱变换; IIR数字滤波器;数字高通滤波器;数字低通滤波器;

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专利

1. Design of 3-D planar and beam recursive digital filters using spectral transformation [J] . Liu Q., Bruton L.T. IEEE Transactions on Circuits and Systems . 1989,第3期

机译：利用频谱变换设计3-D平面和光束递归数字滤波器
2. Recursive algorithms for two-dimensional filters' spectral transformations [J] . Mastorakis N.E. IEEE Transactions on Signal Processing . 1996,第10期

机译：二维滤波器频谱变换的递归算法
3. New transformation-based design of variable recursive digital filters with guaranteed stability [J] . Tian-Bo Deng, Yuko Nakagawa 電子情報通信学会技術研究報告. 信号処理. Signal Processing . 2002,第14期

机译：新的基于变换的可变递归数字滤波器设计，具有保证的稳定性
4. A Recursive Matrix Approach to Spectral Transformations for Digital Filters [C] . Thomas J. Goodman, Maurice F. Aburdene Annual Conference on Information Sciences and Systems . 2009

机译：数字滤波器光谱变换的递归矩阵方法
5. A study of the effects of the coefficients of generalized bilinear transformations in design of two-dimensional variable recursive digital filters. [D] . Bin, Deng Chen. 2004

机译：在二维可变递归数字滤波器设计中研究广义双线性变换系数的影响。
6. Phase Response Design of Recursive All-Pass Digital Filters Using a Modified PSO Algorithm [O] . Wei-Der Chang 2015

机译：改进的PSO算法设计递归全通数字滤波器的相位响应设计
7. A Class of High-Speed Approximately Linear-Phase Recursive Digital Filters Based on the Frequency-Response Masking Approach [O] . Håkan Johansson 2014

机译：一种基于频率响应掩蔽方法的高速近似线性相位递归数字滤波器
8. Derivation of Recursive Digital Filters by the Step-Invariant and the Ramp-Invariant Transformations [R] . Morin, A., Labbe, P. 1984

机译：用阶梯不变和斜坡不变变换推导递归数字滤波器

A recursive matrix approach to spectral transformations for digital filters

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