基于定点DSP的复数求模值近似算法的实现

Approximate calculation of complex modulus based on fixed-point DSP

摘要:

工程应用中，定点数字信号处理器(DSP)因其可编程、速度快、功耗小、成本低等特点在数字系统中被广泛使用。但由于定点DSP数据动态范围小，在其上依定义计算复数的模值会带来“数据溢出”的问题。介绍了一种基于定点DSP的复数求模值近似算法。该算法以复数模值的工程近似计算方法为基础，对其进行优化并在定点DSP中进行算法实现。通过算法优化，可以在数据不溢出的前提下大幅提高复数求模的精确度。

Abstract:

Fixed-point Digital Signal Processing(DSP) is widely used in the engineering applications because of its characteristics like high speed, low consumption, low cost and being programmable. However, the data dynamic range of fixed-point DSP is extremely narrow, which will cause “data overflow” when calculating the complex modulus according to its definition. An optimized method based on the traditional approximate calculation of complex modulus is put forward and realized on the fixed-point DSP. It can greatly increase the accuracy of the calculation of complex modulus in the guarantee of no data overflow.