One-hot Residue Number System Research Articles

Optimized reverse converters with multibit soft error correction support at 7nm technology

Residue number system (RNS) speeds up digital signal processing systems involving dominant addition and multiplication. Addition and multiplication are accelerated further and performed with a balanced performance on one-hot coded (OHC) residue digits. However, the high complexity of the RNS reverse converter (RC) may kill the performance gain. This paper proposes a high-speed and scalable RNS-RC for both regular and one-hot RNS. For redundant RNS (RRNS), an RRNS-RC is proposed, which based on majority-voting between OHC residue digits, corrects multibit soft errors occurring in a single residue channel. With pass-transistor logic and low-power FinFETs, the proposed RCs are optimized. The simulated RRNS-RC corrected 98.5% of soft errors, while consuming 7, 6.2 and 0.4% of the system's area, leakage power and dynamic power, respectively. As compared to the leading lookup table RC in the literature, RNS-RC exhibited 10.3X, 4.4X and 1.8X savings in area, average power, and delay, respectively.

Delta-sigma modulator with large OSR using the one-hot residue number system

A digital delta-sigma modulator using the one-hot residue number system (OHRNS) is presented. It exhibits a large oversampling ratio (OSR) in comparison with equivalent binary designs. Its second-order architecture employs a two-stage cascade structure with two-level internal and four-level output quantization. It is intended for use in a high-resolution interpolative digital-to analog converter. Analytical estimates show a significant improvement in OSR and latency over binary-number system-based designs. These benefits are made possible by the use of the (OHRNS), which allows addition and multiplication to be performed equally quickly and simply, using barrel shifters and signal transposition. An application specific integrated circuit (ASIC) implementation of the design is also presented in a 2-/spl mu/m CMOS technology.

PN code generator with low delay-power product for spread-spectrum communication systems

We illustrate the low-power advantages of the One-Hot Residue Number System by presenting a pseudonoise (PN) code generator for battery-powered spread-spectrum communication systems. It exhibits a significantly reduced delay-power product below an equivalent binary number system implementation. This advantage is obtained because the number system allows the decomposition into small serially enabled units of the large linear-feedback shift register required to generate the PN code. Additionally, it allows fast and efficient computation of sums and products. An example frequency-hopped spread-spectrum application of the generator is briefly presented using a previously designed frequency synthesizer.