• Journal of the Institute of Electronics Engineers of Korea SD
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• v.46 no.5
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• pp.32-38
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• 2009

FTT(Fast Fourier Transform) processor is widely used in OFDM(Orthogonal Frequency Division Multiplesing) system. Because of the increased requirement of mobility and bandwidth in the OFDM system, they need large point FTT processor. Since the size of memory which stores the twiddle factor coefficients are proportional to the N of FFT size, we propose a new method by which we can reduce the size of the coefficient memory. In the proposed method, we exploit a counter and unsigned multiplier to generate the twiddle factor indices. To verify the proposed algorithm, we design TFCGs(Twiddle Factor Coefficient Generator) for 1024pint FFTs with R2SDF(Radix-2 Single-Path Delay Feedback), $R2^3SDF,\;R2^3SDF,\;R2^4SDF$ architectures. The size of ROM is reduced to 1/8N. In the case of $R2^4SDF$ architecture, the area and the power are reduced by 57.9%, 57.5% respectively.

• Journal of the Korea Institute of Information Security & Cryptology
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• v.17 no.6
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• pp.29-39
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• 2007

RSA is one of the most popular public-key crypto-system in various applications. This paper addresses a high-speed RSA crypto-processor with modified radix-4 modular multiplication algorithm and Chinese Remainder Theorem(CRT) using Carry Save Adder(CSA). Our design takes 0.84M clock cycles for a 1024-bit modular exponentiation and 0.25M cycles for a 512-bit exponentiations. With 0.18um standard cell library, the processor achieves 365Kbps for a 1024-bit exponentiation and 1,233Kbps for two 512-bit exponentiations at a 300MHz clock rate.

• Journal of the Institute of Electronics Engineers of Korea TC
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• v.39 no.12
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• pp.513-519
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• 2002

This paper proposes a high-speed FFT processor for orthogonal frequency-division multiplexing(OFDM) systems. The Proposed architecture uses a single-memory architecture and uses a radix-4 algorithm for high speed. The proposed memory is partitioned into four banks for high-speed computation. It uses an in-place memory strategy that stores butterfly outputs in the same memory location used by butterfly inputs. Therefore, the memory size can be reduced. The SQNR of about 80dB is achieved with 20-bit input and 20-bit twiddle factors. The architecture has been modeled by VHDL and logic synthesis has been performed using the SamsungTM 0.5㎛ SOG cell library (KG80). The implemented FFT processor consists of 98,326 gates excluding memory. It has smaller hardware than existing pipeline FFT processors for more than 1024-point FFTs. The processor can operate at 42MHz and calculate a 256-point complex FFT in 6us. It satisfies tile required processing speed of 8.4㎲ in the HomePlug standard.

• Journal of the Institute of Electronics Engineers of Korea SD
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• v.40 no.12
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• pp.72-79
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• 2003

This paper proposes a 32${\times}$32 Modified Booth multiplier using CMOS multiple-valued logic circuits. The multiplier based on the radix-4 algorithm is designed with current mode CMOS quaternary logic circuits. Designed multiplier is reduced the transistor count by 67.1% and 37.3%, compared with that of the voltage mode binary multiplier and the previous multiple-valued logic multiplier, respectively. The multiplier is designed with a 0.35${\mu}{\textrm}{m}$ standard CMOS technology at a 3.3V supply voltage and unit current 10$mutextrm{A}$, and verified by HSPICE. The multiplier has 5.9㎱ of propagation delay time and 16.9mW of power dissipation. The performance is comparable to that of the fastest binary multiplier reported.

• Journal of Advanced Navigation Technology
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• v.22 no.5
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• pp.429-435
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• 2018

In radar systems, FFT (fast Fourier transform) operation is necessary to obtain the range and velocity of target, and the design of an FFT processor which operates at high speed is required for real-time implementation. The perfect shuffle network is suitable for high-speed FFT processor. In particular, twice perfect shuffle network based on radix-4 is preferred for very high-speed FFT processor. Moreover, radar systems that requires various velocity resolution should support scalable FFT points. In this paper, we propose a 8~1024-point scalable FFT processor based on twice perfect shuffle network algorithm and present hardware design and implementation results. The proposed FFT processor was designed using hardware description language (HDL) and synthesized to gate-level circuits using $0.65{\mu}m$ CMOS process. It is confirmed that the proposed processor includes logic gates of 3,293K.

• Proceedings of the IEEK Conference
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• 2002.06b
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• pp.285-288
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• 2002

In this paper, a new structure of 1024-bit high-speed RSA cryptosystem has been proposed and implemented in hardware to increase the operation speed and enhance the variable-length operation in the plain text. The proposed algorithm applied a radix-4 Booth algorithm and CSA(Carry Save Adder) to the Montgomery algorithm for modular multiplication As the results from implementation, the clock period was approached to one delay of a full adder and the operation speed was 150MHz. The total amount of hardware was about 195k gates. The cryptosystem operates as the effective length of the inputted modulus number, which makes variable length encryption rather than the fixed-length one. Therefore, a high-speed variable-length RSA cryptosystem could be implemented.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.2 no.1
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• pp.147-156
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• 1998

In this paper, an arithmetic processor using multi-valued logic is designed. For implementing of multi-valued logic circuits, we use current-mode CMOS circuits and design encoder which change binary voltage-mode signals to multi-valued current-mode signals and decoder which change results of arithmetic to binary voltage-mode signals. To reduce the number of partial product we use 4-radix SD number partial product generation algorithm that is an extension of the modified Booth's algorithm. We demonstrate the effectiveness of the proposed arithmetic circuits through SPICE simulation and Hardware emulation using FPGA chip.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.14 no.11
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• pp.2548-2554
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• 2010

This paper describes a design of fast Fourier transform(FFT) processor for EEG(electroencephalogram) signal analysis for health care services. Hamming window function with 1/2 overlapping is adopted to perform short-time FFT(ST-FFT) of a long period EEG signal occurred in real-time. In order to analyze efficiently EEG signals which have frequency characteristics in the range of 0 Hz to 100 Hz, a 256-point FFT processor is designed, which is based on a single-memory bank architecture and the radix-4 algorithm. The designed FFT processor has been verified by FPGA implementation, and has high accuracy with arithmetic error less than 2%.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2010.10a
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• pp.88-91
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• 2010

This paper describes a design of fast Fourier transform(FFT) processor for EEG(electroencephalogram) signal analysis for health care services. Hamming window function with 1/2 overlapping is adopted to perform short-time FFT(ST-FFT) of a long period EEG signal occurred in real-time. In order to analyze efficiently EEG signals which have frequency characteristics in the range of 0 Hz to 100 Hz, a 256-point FFT processor based on single-memory bank architecture and radix-4 algorithm is designed. The designed FFT processor has high accuracy with arithmetic error less than 3%.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2008.04a
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• pp.251-254
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• 2008

유비쿼터스 네트워크의 실현을 위한 4세대 통신방식의 유력한 후보로 부상하는 OFDM (Orthogonal Frequency Division Multiplexing) 통신방식이 육상에 주목받고 있으며, 고속 데이터 전송을 위한 무선랜의 표준기술로 확정되어 있다. 해상 통신의 경우에서도 OFDM 통신방식은 단파대역을 이용한 데이터 전송방식으로 제안되고 있으며, ITU (International Telecommunication Union)는 해상통신에서 32-point FFT를 사용하도록 권고하고 있다. 해상 통신에서는 해양사고 및 조난 시에도 통신이 이루어져야 하는 한계상황을 고려하면, OFDM 통신방식의 중요 디바이스인 FFT는 저전력으로 동작되어야 한다. 따라서 본 논문에서는 OFDM 방식의 중요 디바이스인 32-point FFT를 저전력으로 동작시키기 위해 radix-2와 radix-4를 이용하여 저전력 32-point FFT 알고리즘을 제안한다. 최적화된 설계로 32-point FFT를 저전력 동작이 가능하도록 설계하였으며, 제안한 알고리즘은 VHDL로 구현하고 FPGA Spartan3 board에 장착하여 Matlab의 이론값과 비교, 검증하였다. 제안된 32-point FFT는 해상통신에서의 OFDM 적용을 위한 선도기술로 유용할 것이다.