Design of area and power efficient complex number multiplier
B. S. Premananda, Samarth S. Pai, B. Shashank, Shashank S. Bhat
Abstract
B. S. Premananda, Samarth S. Pai, B. Shashank, Shashank S. Bhat
Abstract
Complex number multiplication is one of the most important arithmetic operations in signal processing. The paper proposes a design of high speed 8-bit complex number multiplier where the multiplication process is carried out using Vedic Mathematics [1], Urdhva Tiryagbhyam (Vertically and Cross-wise) sutra and the addition achieved by use of modified adder architectures to reduce the area occupied and power dissipated. Multiplication is realized using modified 8-bit multipliers [2]. The proposed 8-bit multiplier [2] results in a 6.23% increase in speed, 1.88% decrease in area and 13.84% decrease in power dissipation when compared to the normal 8-bit Vedic multiplier. Further, the proposed 8-bit complex number multiplier results in a 9.11% decrease in power dissipated when compared to the normal 8-bit complex number Vedic multiplier.
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Complex number multiplication is one of the most important arithmetic operations in signal processing. The paper proposes a design of high speed 8-bit complex number multiplier where the multiplication process is carried out using Vedic Mathematics [1], Urdhva Tiryagbhyam (Vertically and Cross-wise) sutra and the addition achieved by use of modified adder architectures to reduce the area occupied and power dissipated. Multiplication is realized using modified 8-bit multipliers [2]. The proposed 8-bit multiplier [2] results in a 6.23% increase in speed, 1.88% decrease in area and 13.84% decrease in power dissipation when compared to the normal 8-bit Vedic multiplier. Further, the proposed 8-bit complex number multiplier results in a 9.11% decrease in power dissipated when compared to the normal 8-bit complex number Vedic multiplier.
Key concepts: Multiplier (economics), Adder, Arithmetic, Multiplication (music), Dissipation, 8-bit, Mathematics, 4-bit