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本文讨论了信号处理中的一个基本问题——复信号以正交实信号表示时的模值计算。文中对模值的近似计算法作了一些分析,主要是根据等波纹误差原则对 A=(I~2+Q~2)~(1/2)进行线性近似,由此导出一般线性关系式和求近似公式误差分布的方法。利用这些关系式和方法可以根据所要求的精度得到相应的近似公式.为了使用方便,文中列出了几个实用的近似计算公式,其中大多数是针对数字电路的,其精度较高,且易于实现。
This paper discusses one of the basic problems in signal processing - the modular calculation of complex signals when expressed as an orthogonal real signal. In this paper, we make some analyzes on the approximate calculation of the modulo value, mainly based on the principle of equi-ripple error to linearly approximate A = (I ~ 2 + Q ~ 2) ~ (1/2) A method to find the error of approximation formula. Use these relations and methods can be based on the required accuracy of the corresponding approximate formula for ease of use, the article lists several practical approximation formula, most of which are for digital circuits, its accuracy is high, and easy achieve.