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Efficient Parallel Architecture for Fixed-Coefficient and Variable-Coefficient FIR Filters Using Distributed Arithmetic

机译:使用分布式算法的固定系数和可变系数FIR滤波器的高效并行架构

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In this paper, we performed the complexity analysis of fixed-coefficient and variable-coefficient distributed arithmetic (DA)-based finite impulse response (FIR) filter structures to observe the effect of LUT decomposition on the area complexity of DA structure. The complexity analysis reveals that the area complexity of different units of DA FIR filter structure does not increase proportionately with the level of parallelism. An appropriate selection of LUT decomposition factor, and introducing higher level of parallelism in the computation could improve the area-delay efficiency of both fixed-coefficient and variable-coefficient DA-based FIR structures. Based on these findings, we have proposed bit-parallel block-based DA structures, for fixed-coefficient and variable-coefficient FIR. The proposed structures process one block of input samples and produce one block of outputs in every clock cycle. Theoretical estimate shows that the proposed fixed-coefficient structure, for block-size 8 and filter-length 32, involves eight times more ROM-LUT words, eight times more adders, two less registers, and offers eight times higher throughput-rate than the existing similar structure. For the same block-size and filter-length, the proposed variable-coefficient structure involves 7.2 times more adders, the same number of registers, eight times more MUXes, and offers eight times higher throughput than the best available similar structure. Synthesis result shows that the proposed fixed-coefficient structure for block-size 8 and filter-length 32 involve 47% less area delay product (ADP) and 42% less energy per sample (EPS) than the existing structure and offers nearly eight times higher throughput than others. For the same block-size and filter-length, the proposed structure for variable-coefficient FIR involves 71% less ADP and 65% less EPS than the similar existing structures.
机译:在本文中,我们进行了基于固定系数和可变系数分布式算术(DA)的有限冲激响应(FIR)滤波器结构的复杂度分析,以观察LUT分解对DA结构面积复杂度的影响。复杂度分析表明,DA FIR滤波器结构不同单元的面积复杂度不会随着并行度的提高而成比例增加。适当选择LUT分解因子,并在计算中引入更高的并行度,可以提高基于固定系数和可变系数DA的FIR结构的面积延迟效率。基于这些发现,我们提出了基于位并行块的DA结构,用于固定系数和可变系数FIR。所提出的结构在每个时钟周期处理一个输入采样块并产生一个输出块。理论估计表明,针对块大小为8和滤波器长度为32的情况,所提出的固定系数结构所涉及的ROM-LUT字数是原来的8倍,加法器是8倍,寄存器是2个,并且吞吐率比标准的高8倍。现有的类似结构。对于相同的块大小和滤波器长度,所提出的可变系数结构所涉及的加法器数量增加了7.2倍,寄存器数量相同,MUX数量增加了8倍,并且吞吐量是最佳同类结构的8倍。综合结果表明,与现有结构相比,针对块大小8和滤波器长度32的拟定固定系数结构所涉及的面积延迟积(ADP)减少了47%,每样本能量(EPS)减少了42%,并且结构高出近八倍吞吐量比其他人高。对于相同的块大小和滤波器长度,与类似的现有结构相比,针对可变系数FIR提出的结构所涉及的ADP减少71%,EPS减少65%。

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