Conversion of binary to single-term triple base numbers for DSP applications

Abstract

Non-binary number systems are increasingly gaining popularity in signal processing applications for their capabilities of handling arithmetic operations efficiently. One such number system, "Double Base Number System (DBNS)" has gained attention to many researchers for it's capability of performing multiplication operation efficiently. Recently, "Triple Base Number System (TBNS)" has been introduced which shows better performance over DBNS for higher bit operations in terms of speed, hardware complexity and power dissipation. However, the advantages of TBNS systems cannot be exploited due to substantial overhead of conversion from binary to TBNS. Keeping this issue in view, in this paper, a novel architecture has been proposed for high performance binary to TBNS conversion. Efficiency of this conversion scheme has been dealt with in details and experimental results and analysis clearly indicate the novelty of the architecture.