用基数-4算法通过单n点IFFT计算两个n点IDCT及其提出的结构

K. Bhattacharyya, S. Banerjee
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引用次数: 0

摘要

本文利用现有的基数-2 IFFT算法解决了离散余弦逆变换(IDCT)的求值问题,该算法适用于需要大量数据点进行特定运算的图像和信号处理。由于基数-4架构比基数-2具有更少的乘法,因此通过基数-4 IFFT执行IDCT操作是合理的,可以大大节省4次幂数据点的计算次数。在本文中,作者修改了现有的IDCT- dft算法,允许通过单个N点基数-4 IFFT而不是使用基数-2 IFFT来计算两个并发的N点IDCT。因此,大大减少了算法的总工作量。为实现16点IDCT算法,提出了一种适用于实时操作的支持架构。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Computation of two N-point IDCT s via a single N-point IFFT using radix-4 algorithm & its proposed architecture
This paper addresses the problem of the evaluation of inverse discrete cosine transform (IDCT) using existing radix-2 IFFT algorithm applicable for image and signal processing where a huge number of data points are required for a particular operation. Since radix-4 architecture has fewer multiplications than radix-2, then it is judicial to carry out the IDCT operation via radix-4 IFFT for a huge savings of number of computations for the data points which are power of four. In this paper the authors have modified the existing IDCT-DFT algorithm to allow the computation of two concurrent N Point IDCT s via a single N point radix-4 IFFT instead of using radix-2 IFFT. As a result the total amount of arithmetic workload is greatly reduced. A supporting architecture which can be applicable for real time operation is also suggested to realize a 16 point IDCT algorithm.
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