• Journal of the Korea Institute of Information and Communication Engineering
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• v.5 no.3
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• pp.517-524
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• 2001

This paper describes a design of radix-2 SRT divider unit, which supports IEEE-754 floating-point standard, using redundant binary number system (RBNS). With the RBNS, the partial quotient decision logic can operate about 20-% faster, as well as can be implemented with a simple hardware when compared to the conventional methods based on two's complement arithmetic. By using a new redundant binary adder proposed in this paper, the mantissa divider is efficiently implemented, thus resulting in about 20% smaller area than other works. The divider unit supports double precision format, five exceptions and four rounding modes. It was verified with Verilog HDL and Verilog-XL.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.7 no.1
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• pp.122-128
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• 2003

In this paper, a 16${\times}$16-bit Multiplier and Accumulator (MAC) is designed using a Redundant Binary Adder (RBA) circuit so that it can make a fast addition of the Redundant Binary Partial Products (RB_PP's) by using Wallace-tree structure. Because a RBA adds two RB numbers, it acts as a 4-2 compressor, which reduces four inputs to two output signals. We propose a method to convert the Redundant Binary (RB) representation into the 2's complement binary representation. Instead of using the conventional full adders, a more efficient RB number to binary number converter can be designed with new conversion method.

• The Transactions of the Korean Institute of Electrical Engineers D
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• v.55 no.11
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• pp.491-494
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• 2006

In the adder design, reduction of the delay of the carry propagation or ripple is the most important consideration. Previously, it was introduced that, if a redundant number system is adopted, the carry propagation is completely eliminated, with which addition can be done in a constant time, without regarding to the count of the digits of numbers involved in addition. In this paper, a RBCD(Redundant Binary Coded Decimal) is adopted to code 0 to 11, and an efficient and economic carry-free BCD adder is designed.

• Proceedings of the KIEE Conference
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• 2005.05a
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• pp.148-151
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• 2005

This paper proposes a high speed interface using redundant multi-valued logic for high speed communication ICs. This circuit is composed of encoding circuit that serial binary data are received and converted into parallel redundant multi-valued data, and decoding circuit that convert redundant multi-valued data to parallel binary data. Because of the multi-valued data conversion, this circuit makes it possible to achieve higher operating speeds than that of a conventional binary logic. Using this logic, a 1:4 demultiplexer (DEMUX, serial-parallel converter) IC was designed using a 0.35${\mu}m$ standard CMOS Process. Proposed demultiplexer is achieved an operating speed of 3Gb/s with a supply voltage of 3.3V and with power consumption of 48mW. Designed circuit is limited by maximum operating frequency of process. Therefore, this circuit is to achieve CMOS communication ICs with an operating speed greater than 3Gb/s in submicron process of high of operating frequency.

• Journal of the Institute of Electronics Engineers of Korea CI
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• v.40 no.6
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• pp.1-8
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• 2003

A novel CORDIC circuit is presented based on a redundant number system eliminating global carry Propagation. The number format employs a new recoding scheme similar to the Booth receding resolving carry problems in addition. A pipelined architecture is introduced having a constant scale factor in its computation of trigonometric functions. The operational time of the circuit is constant independent of the number of operand digits.

• Proceedings of the IEEK Conference
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• 2001.06b
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• pp.365-368
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• 2001

This paper described a design and implementation of the division/square-root for a redundant floating point binary number using high-speed quotient selector. This division/square-root used the method of a redundant binary addition with 25MHz clock speed. The addition of two numbers can be performed in a constant time independent of the word length since carry propagation can be eliminated. We have developed a 16-bit VLSI circuit for division and square-root operations used extensively in each iterative step. It peformed the division and square-root by a redundant binary addition to the shifted binary number every 16 cycles. Also the circuit uses the nonrestoring method to obtain a quotient. The quotient selection logic used a leading three digits of partial remainders in order to be implemented in a simple circuit. As a result, the performance of the proposed scheme is further enhanced in the speed of operation process by applying new quotient selection addition logic which can be parallelly process the quotient decision field. It showed the speed-up of 13% faster than previously presented schemes used the same algorithms.

• The KIPS Transactions:PartA
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• v.15A no.3
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• pp.135-140
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• 2008

This paper describes a high-speed CMOS demultiplexer using redundant multi-valued logic (RMVL). The proposed circuit receives serial binary data and is converted to parallel redundant multi-valued data using RMVL. The converted data are reconverted to parallel binary data. By the redundant multi-valued data conversion, the RMVL makes it possible to achieve higher operating speeds than that of a conventional binary logic. The implemented demultiplexer consists of eight integrators. Each integrator is composed of an accumulator, a window comparator, a decoder and a D flip flop. The demultiplexer is designed with TSMC $0.18{\mu}m$ standard CMOS process. The validity and effectiveness are verified through the HSPICE simulation. The demultiplexer is achieved the maximum data rate of 20 Gb/s and the average power consumption of 95.85 mW.

• Journal of the Institute of Electronics Engineers of Korea SD
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• v.44 no.2
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• pp.121-126
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• 2007

This paper describes a 9.09 Gb/s CMOS demultiplexer using redundant multi-valued logic (RMVL). The proposed circuit receives serial binary data and is converted to parallel redundant multi-valued data using RMVL. The converted data are reconverted to parallel binary data. By the redundant multi-valued data conversion, the RMVL makes it possible to achieve higher operating speeds than that of a conventional binary logic. The implemented demultiplexer consists of eight integrators. Each integrator is composed of an accumulator, a window comparator, a decoder and a D flip flop. The demultiplexer is designed with Samsung $0.35{\mu}m$ standard CMOS process. The validity and effectiveness are verified through the post layout simulation. The demultiplexer is achieved the maximum data rate of 9.09 Gb/s and the average power consumption of 69.93 mW. This circuit is expected to operate at higher speed than 9.09 Gb/s in the deep-submicron process of the high operating frequency.

• Proceedings of the IEEK Conference
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• 1998.10a
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• pp.1125-1128
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• 1998

A new architecture for high-speed implementation of adaptive decision-feedback equalizer (ADFE) applicable to wide-band digital wireless modems is described. Rather than using conventional two's complement arithmetic, a novel complex-valued filter structure is devised, which is based on redundant binary (RB) arithmetic. The proposed RB complex-valued filter reduces the critical path delay of ADFE, as well as leads to a more compact implementation than conventional methods. Also, the carry-propagation free (CPF) operation of the RB arithmetic enhances its speed. To demonstrate the proposed method, a prototype chip set is designed. They are designed to contain two complexvalued filter taps along with their coefficient updating circuits, and can be cascaded to implement loger filter taps for high bit-rate applications.

• Journal of IKEEE
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• v.10 no.2 s.19
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• pp.128-133
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• 2006

This paper describes a high speed interface circuit using redundant multi-valued logic for high speed communication ICs. This circuit is composed of encoding circuit that serial binary data are received and converted into parallel redundant multi-valued data, and decoding circuit that converts redundant multi-valued data to parallel binary data. Because of the multi-valued data conversion, this circuit makes it possible to achieve higher operating speeds than that of a conventional binary logic. Using this logic, the proposed 1:4 DEMUX (demultiplexer, serial-parallel converter), was designed using a 0.35um standard CMOS technology. Proposed DEMUX is achieved an operating speed of 4.5Gb/s with a supply voltage of 3.3V and with power consumption of 53mW. The operating speed of this circuit is limited by the maximum frequency which the 0.35um process has. Therefore, this circuit is to achieve CMOS communication ICs with an operating speed greater than 10Gb/s in submicron process of high operating frequency.