Design of High-Speed and Area-Efficient Cartesian to Polar Coordinate Converters Using Logarithmic Number Systems

Abstract

In this work, high-speed and area-efficient rectangle to polar coordinate converters are proposed. By adopting logarithmic number system (LNS)-based implementations, tremendous and time-consuming operations for obtaining the values of radius and angles from given values of Cartesian coordinates can be easily simplified and implemented. Simulation results show that our proposed design can achieve area-delay efficient than conventional designs with tolerable errors. The proposed converters can be applied in real-time signal processing applications.