Efficient reverse converter design for the new four-moduli set {22n, 2n + 1, 2n/2 + 1, 2n/2 – 1}. (17th February 2017)

• Record Type: Journal Article
• Authors: Siao, Siang-Min; Sheu, Ming-Hwa; Hwang, Yin-Tsung; Wang, Shao-Yu
• Is Part Of: Journal of the Chinese Institute of Engineers. Volume 40:Number 2(2017)
• Page Start: 134
• Page End: 140
• Publication Date: 2017-02-17
• Subjects: Moduli set -- reverse converter -- residue number system; Technology -- Periodicals; Engineering -- Periodicals; 620.005
• DOI: 10.1080/02533839.2017.1294995
• Languages: English
• ISSNs: 0253-3839

Abstract

Abstract: This paper presents a new four-moduli set {2 2 n, 2 n + 1, 2 n /2 + 1, 2 n /2 – 1} ( n even). According to new Chinese remainder theorem 1, an efficient algorithm is derived for converting four residue numbers to binary. Then, the converter architecture is designed using shorter bit-width carry propagate adders to improve the hardware performance considerably. Compared with existing converters for related four-moduli sets, the proposed converter shows higher speed and lower power consumption. The proposed converter design with 64-bit width has been implemented on the basis of the Taiwan Semiconductor Manufacturing Company 90-nm CMOS process. The chip area is 1622 × 1657 μm 2, and the working frequency is 116 MHz. The experimental results show that the proposed design achieves more than 26.9 and 18.4% savings in delay and power consumption, respectively. The converter also saves at least 39% in AD 2 (area × delay 2 ).