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首页> 外文期刊>The mediterranean journal of electronics and communications >Efficient Complex-valued Finite Word Length Allpass Rational IIR PCLS Filter Design via Functional Inequality Constrained Integer Programming with Bit Plane Searching Technique
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Efficient Complex-valued Finite Word Length Allpass Rational IIR PCLS Filter Design via Functional Inequality Constrained Integer Programming with Bit Plane Searching Technique

机译：通过功能不等式约束整数规划和位平面搜索技术的有效复数值有限字长全通有理IIR PCLS滤波器设计

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摘要

In this paper, a complex-valued finite word length allpass rational infinite impulse response (IIR) peak constrained least squares (PCLS) filter design problem is formulated as a functional inequality constrained integer programming problem. The optimization problem is solved via searching the bit planes of the real and the imaginary parts of the filter coefficients. The proposed technique only requires to search two bits of a filter coefficient at each iteration. Since the maximum number of required iterations is bounded by the product of the total number of filter coefficients and the total number of bits for representing either the real or the imaginary parts of a filter coefficient, the computational complexity of our proposed technique is much lower than that of existing methods.
机译：本文将复值有限字长全通有理无限脉冲响应（IIR）峰值约束最小二乘（PCLS）滤波器设计问题表述为功能不等式约束整数规划问题。通过搜索滤波器系数的实部和虚部的位平面来解决优化问题。所提出的技术仅需要在每次迭代中搜索滤波器系数的两位。由于所需迭代的最大次数受滤波器系数总数与表示滤波器系数的实部或虚部的位数的乘积的限制，因此我们提出的技术的计算复杂度远低于现有方法。

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