Design of multiplierless CIC compensators based on maximum passband deviation
Design of multiplierless CIC compensators based on maximum passband deviation
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DOI：
10.23919/mipro.2017.7973402
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发表时间：
2017-05
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通讯作者：
Goran Molnar;Aljosa Dudarin;M. Vucic
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文献类型：
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作者：
Goran Molnar;Aljosa Dudarin;M. Vucic
级联积分梳状（CIC）抽取滤波器是最简单的无乘法器滤波器，支持高采样率转换因子。然而，高阶CIC滤波器的幅度响应表现出高通带下垂。这种下降可以通过将FIR补偿器与CIC滤波器级联来减小。在本文中，我们提出了一种设计CIC补偿器的方法，其系数表示为一个2的幂和（SPT）。该方法是基于最大和最小通带幅度之间的差异最小化。为了获得补偿器系数，我们使用一个全局优化技术，这是基于区间分析。在优化中，指定每个系数的SPT项的数量。通过使用具有少量SPT项的三个和五个系数，获得的补偿器有效地补偿窄通带和宽通带。对于这些补偿器，提供了无乘法器结构。
Cascaded-integrator-comb (CIC) decimation filters are the simplest multiplierless filters supporting high sample rate conversion factors. However, the magnitude response of high order CIC filters exhibits a high passband droop. Such a droop can be reduced by connecting an FIR compensator in the cascade with the CIC filter. In this paper, we present a method for the design of CIC compensators whose coefficients are expressed as a sum of powers of two (SPT). The method is based on the minimization of the difference between the maximum and the minimum passband amplitude. To obtain the compensator coefficients, we use a global optimization technique, which is based on the interval analysis. In the optimization, the number of SPT terms for each coefficient is specified. The compensators obtained efficiently compensate narrow and wide passbands by using three and five coefficients having small number of SPT terms. For these compensators, multiplierless structures are provided.