Complex Numbers Square-Rooting Unit

This book is dedicated to descript the Complex Numbers Square-Rooting Unit. In this book a little-known theory of complex number coding is being used. Included is a brief outline of theory of coding and calculation method which is a generalization of the "digit-by-digit" method for complex numbers codes. The algorithm of square root extraction from complex number is detailed, as well as its hardware implementation and simulation in the MATLAB system. The simulation in the MATLAB system of several known algorithms of the "digit-by-digit" method is also described. The open codes of all the said algorithms are enclosed. On the base of comparison between the simulation results the comparative analysis of the proposed algorithm's performance and the traditional methods of square-root extraction from complex numbers is being performed.

It is shown that by number of steps the proposed algorithm is comparable with the elementary functions of real variable calculation algorithms. Of course, the square root extraction from complex number may be performed in DSP and PC by a program, using operations for elementary functions of real variable calculation. But the number of steps in our algorithm is 2.5 - 4.5 times less than in  such programs. Some special schemes are also considered. The given information is sufficient for practical realization of the unit.