The paper presents an improved algorithm for calculating the magnitude of complex numbers. This problem, which is a special case of square rooting, occurs for example, in FFT processors and complex FIR filters. The proposed method of magnitude calculation makes use of the modified alpha max and beta min algorithm. The improved version of the algorithm allows to control the maximum magnitude approximation error by using an adequate number of approximation regions. In this way it is possible to reduce the maximum error to 3.95% for one region, and 0.24% and 0.06% for four and eight regions, respectively. This algorithm in its basic form requires only two multiplications by a constant and one addition which are preceded by the choice of greater of two arguments with respect to their absolute values. The improved version requires one general division to determine the proper approximation region. The algorithm implementation issues are considered in the accompanying paper.
Authors
Additional information
- Category
- Publikacja w czasopiśmie
- Type
- artykuły w czasopismach recenzowanych i innych wydawnictwach ciągłych
- Language
- angielski
- Publication year
- 2016
