DESIGN OF WIDE-BAND RECURSIVE AND NONRECURSIVE DIGITAL DIFFERENTIATORS
DESIGN OF WIDE-BAND RECURSIVE AND NONRECURSIVE DIGITAL DIFFERENTIATORS
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DOI：
10.1109/tau.1970.1162090
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发表时间：
1970-01-01
期刊：
影响因子：
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通讯作者：
STEIGLITZ, K
中科院分区：
文献类型：
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作者：
RABINER, LR;STEIGLITZ, K
提出了递归和非递归宽带微分器的设计。递归微分器的系数经过优化选择，以最小化基于频率响应幅度的平方误差准则。非递归微分器的系数是使用频率采样技术选择的。优化选择一个或多个系数以最小化所获得的频率响应与理想微分器的响应之间的峰值绝对误差。递归微分器的频率响应特性具有较小的幅度误差但较大的相位误差。为了使频率响应的幅度误差与递归微分器的幅度误差一样小，非递归微分器需要大约 16 至 32 项；然而，非递归情况下不存在相位误差。与非递归微分器的延迟相比，递归微分器的延迟很小。
Designs for recursive and nonrecursive wide-band differentiators are presented. The coefficients for the recursive differentiators were optimally chosen to minimize a square-error criterion based on the magnitude of the frequency response. The coefficients for the nonrecursive differentiators were chosen using a frequency sampling technique. One or more of the coefficients were optimally selected to minimize the peak absolute error between the obtained frequency response and the response of an ideal differentiator. The frequency response characteristics of the recursive differentiators had small magnitude errors but significant phase errors. The nonrecursive differentiators required on the order of 16 to 32 terms for the magnitude error of the frequency response to be as small as the magnitude errors for the recursive differentiators; however, there were no phase errors for the nonrecursive case. The delay of the recursive differentiators was small compared to the delay of the nonrecursive differentiators.