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A RADIX-16 FFT ALGORITHM SUITABLE FOR MULTIPLY-ADD INSTRUCTION BASED ON GOEDECKER METHOD

机译:一种基于GoEdecker方法的乘法添加指令的基数-16 FFT算法

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A radix-16 fast Fourier transform (FFT) algorithm suitable for multiply-add instruction is proposed. The proposed radix-16 FFT algorithm requires fewer floating-point instructions than the conventional radix-16 FFT algorithm on processors that have a multiply-add instruction. Moreover, this algorithm has the advantage of fewer loads and stores than either the radix-2, 4 and 8 FFT algorithms or the split-radix FFT algorithm. We use Goedecker's method to obtain an algorithm for computing radix-16 FFT with fewer floating-point instructions than the conventional radix-16 FFT algorithm. The number of floating-point instructions for the proposed radix-16 FFT algorithm is compared with those of conventional power-of-two FFT algorithms on processors with multiply-add instruction.
机译:提出了一种用于乘法添加指令的基数-16快速傅立叶变换(FFT)算法。所提出的基数-16 FFT算法需要比具有乘法添加指令的处理器上的传统基数-16 FFT算法更少的浮点指令。此外,该算法的优点是比基数-2,4和8个FFT算法或分型除可算法的负载和存储的优点。我们使用GoEdecker的方法来获得用于计算基数-16 FFT的算法,其浮点指令比传统的基数-16 FFT算法更少。将所提出的基数-16 FFT算法的浮点指令的数量与具有乘法添加指令的处理器上的传统电源 - 两个FFT算法的数量进行比较。

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