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首页> 外文期刊>Circuits and Systems I: Regular Papers, IEEE Transactions on >Design of Discrete-Valued Linear Phase FIR Filters in Cascade Form
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Design of Discrete-Valued Linear Phase FIR Filters in Cascade Form

机译：级联形式的离散值线性相位FIR滤波器的设计

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摘要

Digital filters in cascade form enjoy many advantages over their equivalent single-stage realizations in that lower coefficient sensitivity, higher throughput, reduced computational and smaller implementation cost can be achieved. However, the numerical design and optimization of such structure are of much more difficulty than the single-stage case if the filter coefficients are restricted to be of discrete values. This is mainly due to the non-convexity of the constraints, which rules out the possibility of employing sophisticated convex optimization techniques as well as the guaranteed global optimality. In this work, a general-purpose algorithm is proposed for the design of linear phase finite impulse response (FIR) filters in cascade form with discrete coefficients. The proposed algorithm decomposes the overall filter into subfilters during the traverse of a tree search of the overall filter. Discrete-valued linear phase FIR filters are able to be searched and decomposed into both symmetric and non-symmetric subfilters. The optimization complexity is of the same order as the single-stage filter optimization. Design examples have shown that the proposed algorithm is capable of achieving notable reduction in both implementation cost and adder depth compared with their single-stage optimum designs.
机译：级联形式的数字滤波器与它们的等效单级实现相比具有许多优势，因为可以实现更低的系数灵敏度，更高的吞吐量，更少的计算量以及更小的实现成本。但是，如果将滤波器系数限制为离散值，则这种结构的数值设计和优化要比单级情况困难得多。这主要是由于约束的非凸性，这排除了采用复杂的凸优化技术以及保证的全局最优性的可能性。在这项工作中，提出了一种通用算法，用于设计具有离散系数的级联形式的线性相位有限冲激响应（FIR）滤波器。所提出的算法在遍历整个滤波器的树搜索过程中将整个滤波器分解为子滤波器。可以搜索离散值线性相位FIR滤波器，并将其分解为对称和非对称子滤波器。优化复杂度与单级滤波器优化的顺序相同。设计实例表明，与单级优化设计相比，该算法能够显着降低实现成本和加法器深度。

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