FPGA implementation of complex multiplier using minimum delay Vedic real multiplier architecture

Abstract

Complex numbers multiplication is a key arithmetic operation to be performed with high speed and less consumption of power in high performance systems such as wireless communications. Hence, in this paper, two possible architectures are proposed for a Vedic real multiplier based on the URDHVA TIRYAKBHYAM (Vertically and cross wise) sutra of Indian Vedic mathematics and an expression for path delay of an N×N Vedic real multiplier with minimum path delay architecture is developed. Then, architectures of four Vedic real multipliers solution, three Vedic real multipliers solution of complex multiplier are presented. The architecture of Vedic real multiplier with minimum path delay is used in the implementation of complex multiplier. The architectures for the four multiplier solution and three multiplier solution of complex multiplier for 32 × 32 bit complex numbers multiplication are coded in VHDL and implemented through Xilinx ISE 13.4 navigator and Modelsim 5.6. Finally, the results are compared with that of the four and three real multipliers solutions using the conventional Booth and Array multipliers.