CORDIC-based low-complexity hardware system and application method

Abstract

The invention discloses a CORDIC-based low-complexity hardware system and an application method, and aims to solve the problems that in the prior art, time consumption is long and efficiency is low when a complex number N-power root operation is realized by software, the process of realizing the complex number N-power root by hardware is complicated, and the number of results is uncertain, the CORDIC-based low-complexity hardware system is constructed by using three CORDIC module operators of a circle, a linear and a hyperbolic curve; an efficient parallel result processing unit is used, the calculation convergence range is expanded, software simulation can support input in the range of 10 <-8 > to 10 < 4 >, the relative error magnitude order can reach 10 <-6 >, the supporting range is wide, and precision is high; by adopting a pipeline architecture, high-speed full-pipeline calculation can be realized; the calculation complexity is reduced by utilizing the similarity of a complex number N power root N root solving process; the calculation of 2-10 power roots of a complex number can be dynamically supported; the invention has the characteristics of high efficiency, high precision and low hardware complexity.

Description

technical field [0001] The invention relates to the technical field of complex number Nth root operation, and more specifically, relates to a CORDIC-based low-complexity hardware system and an application method. Background technique [0002] Complex number calculation is the core part of circuit calculation, widely used in communication systems and signal processing fields, for real-time data representation and system modeling; Nth root calculation is an important part of complex function theory, in polynomial calculation, matrix calculation, In calculations such as trigonometric functions, timely introduction of Nth root operations can simplify the calculation process. However, complex N-th root calculations have high complexity due to the uncertainty of the number of roots and the complexity of complex number operations. Most N-th root calculations focus on real numbers, or are usually performed by software. Realize complex number Nth root operation. However, the mixed ...

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Problems solved by technology

[0007] Aiming at the problems in the prior art that the software realizes complex number N-th root operation, which takes a long time and is inefficient, and the hardware realizes complex number N-th root operation is complex and the number of results is uncertain, the present invention provides a CORDIC-based low-complexity hardware system and The application method adopts the pipeline architecture, and uses the similarity of the complex Nth root N root solution process to reduce the calculation cost. It has the characteristics of wide support range, high efficiency, high precision and low hardware complexity.

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