Design and multiplierless realization of maximally flat FIR digital Hilbert transformers
Design and multiplierless realization of maximally flat FIR digital Hilbert transformers
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最大平坦 FIR 数字希尔伯特变换器的设计与无乘法器实现
DOI：
10.1109/78.771043
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发表时间：
1999
影响因子：
5.4
通讯作者：
H. Iwakura
中科院分区：
文献类型：
--
作者：
S. Samadi;Y. Igarashi;H. Iwakura
提出了一种对 3 型有限脉冲响应 (FIR) 线性相位希尔伯特变换器的逼近和实现的统一处理。提出了一种基于 Bernstein 多项式和半带滤波器的简单方法来推导系统的传递函数，并从传递函数的 Bernstein 形式发展了基于 de Casteljau 算法的三角阵列实现。结果表明，由无乘法器的相同模块组成的阵列结构可以使用复杂且真实的信号处理技术分层实现。
A unified treatment of approximation and realization of type-3 finite impulse response (FIR) linear-phase Hilbert transformers is presented. A simple method based on Bernstein polynomials and half-band filters is proposed to derive the transfer function of the system, and a triangular array realization based on the de Casteljau algorithm is developed from the Bernstein form of the transfer function. It is shown that the array structure, consisting of multiplierless identical modules, can be realized hierarchically using complex and real signal processing techniques.