Scaling Free Vectoring CORDIC based Rectangular to Polar Converter

A Rectangular to Polar coordinate converter based on scaling free vectoring CORDIC is proposed in this research paper. Polar coordinates are most appropriate for the systems displaying radial symmetry. Here scaling free CORDIC algorithm operating in vectoring mode computes Polar coordinate of input vector i.e. absolute magnitude and phase angle from its rectangular coordinate. Using this algorithm, the micro rotation of the vector is unidirectional and totally scaling free. The range of convergence is successfully extended to cover entire coordinate space without increasing any hardware complexity. A 16 bit Rectangular to Polar converter based on Scaling free vectoring CORDIC is synthesized on FPGA Xilinx Virtex-5 device using Verilog hardware description language. Synthesized results show throughput every clock cycle with maximum operating frequency of 227.43 MHz and minimum bit error position of 12.