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Implementation of the one dimensional discrete cosine transform using the residue number system

机译:利用残数系统实现一维离散余弦变换

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This paper shows the implementation of the one dimensional discrete cosine transform (1D-DCT) based on the residue number system (RNS). The 1D-DCT has been derived by,the application of a previously developed scaled fast cosine transform (FCT) algorithm that requires a reduced number of multiplications. The processor has been modeled at structural level using VHDL and implemented in Altera FLEX10K devices. This paper shows that the RNS-enabled ID-DCT provides a throughput improvement over the equivalent binary system of up to 62% when 8-bit moduli are used. This is achieved due to the synergy between RNS and modern field programmable logic (FPL) device families.
机译:本文展示了基于残数系统(RNS)的一维离散余弦变换(1D-DCT)的实现。 1D-DCT是通过应用先前开发的缩放后的快速余弦变换(FCT)算法获得的,该算法需要减少乘法运算的数量。该处理器已使用VHDL在结构级别上建模,并在Altera FLEX10K器件中实现。本文显示,当使用8位模数时,启用RNS的ID-DCT在等效二进制系统上的吞吐量提高了62%。这是由于RNS与现代现场可编程逻辑(FPL)设备系列之间的协同作用而实现的。

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