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Inner products computation using folded waveforms and distributed arithmetic principles

机译:内部产品计算使用折叠波形和分布式算术原理

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In this paper, inner products using a new number system called the Folding Residue Number System (FRNS) and Distributed Arithmetic (DA) principles is proposed. The advantage of this new number system is that it allows digital filters to be implemented directly from the analog signal by decomposing and folding it in several parallel channels. Folding Residues extracted together with the folding information obtained from the folding circuits are processed using DA principles in implementing the filtering algorithm. The FRNS has the same complexity of computation as that of the Residue Number System (RNS) but intermediate steps such as conversion of the analog signal into its binary equivalents and subsequently into residues required in RNS are eliminated. Moreover, smaller word length of the folding residues coupled with DA results in faster implementation of the filtering algorithms.
机译:在本文中,提出了使用名为折叠残留号系统(FRNS)和分布式算术(DA)原理的新数字系统的内部产品。该新数字系统的优点是它允许通过将数字滤波器直接从模拟信号进行分解和折叠在若干并行通道中。使用DA原理在实现过滤算法时处理与从折叠电路获得的折叠信息提取的折叠残余物。 FRNS的计算复杂程度与残留号码系统(RNS)的复杂性相同,但是中间步骤,例如模拟信号转换成其二进制等同物,随后被消除进入RN所需的残基。此外,折叠残基的较小字长与DA耦合导致过滤算法的更快实现。

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