A hybrid number system processor with geometric and complex arithmetic capabilities

The architecture, design, and performance of a hybrid number system processor are described. The processor performs multiplication, division, square root, and square in the logarithmic number system (LNS) domain. However, the input, output, addition, and subtraction are all executed in the 32-b IEEE standard floating-point number system. With the LNS multiplier and pipelined architecture, the processor is able to perform the geometric and complex arithmetic very effectively. The processor is also shown to compare well to an existing 32-b floating-point DSP (digital signal processor) chip. For the same level of CMOS technology, the performance ratios between the hybrid number system and the floating-point processor are shown to be 6.4:1 and 8:1 for division and square root, respectively; for the complex FFT (fast Fourier transform) algorithm, the ratio is around 2:1.<>