• Journal of the Institute of Electronics and Information Engineers
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• v.49 no.11
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• pp.141-148
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• 2012

A design of a 32-bit fourth-stage decimation filter decimation filter used in sigma-delta analog-to-digital (A/D) converter is proposed in this work. A four-stage decimation filter with down-sampling factor of 512 and 32-bit output is developed. A multi-stage cascaded integrator-comb (CIC) filter, which reduces the sampling rate by 64, is used in the first stage. Three half-band FIR filters are used after the CIC filter, each of which reduces the sampling rate by two. The pipeline structure is applied in the CIC filter to reduce the power consumption of the CIC. The Canonic Signed Digit (CSD) arithmetic is used to optimize the multiplier structure of the FIR filter. This filter is implemented based on a semi-custom design flow and a 130nm CMOS standard cell library. This decimation filter operates at 98.304 MHz and provides 32-bit output data at an audio frequency of 192 kHz with power consumption of $697{\mu}W$. In comparison to the previous work, this design shows a higher performance in resolution, operation frequency and decimation factor with lower power consumption and small logic utilization.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.27 no.6C
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• pp.632-639
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• 2002

To reduce the area and power consumption in constant coefficient multiplications, the constant coefficient can be encoded using canonic signed digit(CSD) representation. When the partial product terms are added depending on the nonzero bit(1 or -1) positions in the CSD-encoded multiplier, all sign bits are properly extended before the addition takes place. In this paper, to reduce the overhead due to sign extension, a new method is proposed based on the fact that carry propagation in the sign extension part can be controlled such that a desired input bit can be propagated as a carry. Also, a fixed-width multiplier design method suitable for CSD multiplication is proposed. As an application, 43-tap filbert transformer for SSB/BPSK-DS/CDMA is implemented. It is shown that, about 16∼28% adders can be saved by the proposed method compared with the conventional methods.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.12 no.4
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• pp.1867-1875
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• 2011

In this paper, a low-area 256-point FFT structure is proposed. For low-area implementation CSD(Canonic Signed Digit) multiplier method is chosen. Because multiplication type should be less for efficient CSD multiplier application to the FFT structure, the Radix-$4^2$ algorithm is chosen for those purposes. After, in the proposed structure, the number of multiplication type is minimized in each multiplication block, the CSD multipliers are applied for implementation of multiplication. Furthermore, in CSD multiplier implementation, cell-area is more reduced through common sub-expression sharing(CSS). The Verilog-HDL coding result shows 29.9% cell area reduction in the complex multiplication part and 12.54% cell area reduction in overall 256-point FFT structure comparison with those of the conventional structure.

• Journal of the Institute of Electronics Engineers of Korea SD
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• v.38 no.7
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• pp.455-463
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• 2001

In this Paper, an approximate processing method is proposed and tested. The proposed method uses variable CSD (VCSD) coefficients which approximate filter stopband attenuation by controlling the precision of the CSD coefficient sets. A decimation filter for Audio Codec '97 specifications has been designed having processor architecture that consists of program/data memory, arithmetic unit, energy/level decision, and sinc filter blocks, and fabricated with 0.6${\mu}{\textrm}{m}$ CMOS sea-of-gate technology. For the combined two halfband FIR filters in decimation filter, the number of addition operations were reduced to 63.5%, 35.7%, and 13.9%, compared to worst-case which is not an adaptive one. Experimental results show that the total power reduction rate of the filter is varying from 3.8 % to 9.0 % with respect to worst-case. The proposed approximate processing method using variable CSD coefficients is readily applicable to various kinds of filters and suitable, especially, for the speech and audio applications, like oversampling ADCs and DACs, filter banks, voice/audio codecs, etc.

• Proceedings of the IEEK Conference
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• 2001.09a
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• pp.931-934
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• 2001

고정 계수를 갖는 곱셈기의 구현 시 면적과 전력소모를 줄이기 위해서 곱셈계수를 CSD(Canonic Signed Digit) 형태로 표현 할 수 있다. CSD 계수의 1 또는 -1의 위치에 따라 부분곱들을 시프트 하여 더할 때 모든 부분곱들의 부호확장이 필요하며 이로 인해 하드웨어의 오버헤드가 증가하게 된다. 본 논문에서는 부호확장 부분에서의 캐리 전파를 적절히 조절함으로써 부호확장으로 인한 오버헤드를 조절 할 수 있다는 사실을 이용하여 새로운 부호확장 오버혜드 감소방법을 제시한다. 제안한 방법과 기존의 방법을 다양한 시뮬레이션을 통해서 비교하고 기존의 방법에 비해 약 30%의 부호확장 오버헤드를 줄일 수 있음을 보인다.

• Proceedings of the IEEK Conference
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• 2002.06d
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• pp.183-186
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• 2002

In this paper, we present an area-efficient programmable FIR digital filter using canonic signed-digit(CSD) coefficients, in which the number of effective nonzero bits of each filter coefficient is reduced by sharing the shift and add logics for common nonzero bits between adjacent coefficients. Also, unused shift and add logics for a low- magnitude coefficient are reassigned to an appropriate high - amplitude coefficient. In consequence, the proposed architecture reduces the hardware area of a programmable FIR filter by about 24% and improves performance about 6-7dB compared to other multiplierless FIR filters with powers-of-two coefficients.

• Proceedings of the KAIS Fall Conference
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• 2004.11a
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• pp.131-133
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• 2004

이 논문에서는 MPEG audio 알고리즘의 필터뱅크를 덧셈을 사용하여 저전력으로 구현할 수 있는 구조를 제안하였다. 제안된 구조는 CSD(Canonic Signed Digit) 형의 계수를 사용하며, 입력신호 샘플을 최대로 공유함으로서 사용되는 덧셈기의 수를 최소화하였다. 제안된 구조는 알고리즘에서 사용된 공통입력 공유, 선형위상 대칭 필터계수를 이용한 공유, 공통입력을 이용한 블록 공유, CSD 형의 계수와 공통패턴 공유를 통하여 사용되는 덧셈의 수를 최소화할 수 있음을 보였다. Verilog-HDL 코딩을 통하여 시뮬레이션을 수행한 결과, 제안된 구조는 기존의 곱셈기 구조의 구현면적과 비교하여 $59.6\%$를 감소시킬 수 있음을 보였다. 또한 제안된 구조의 전력소모도 곱셈기 구조와 비교하여 $59.6\%$를 감소시킬 수 있음을 보였다. 따라서 곱셈기가 내장된 DSP 프로세서를 사용하지 않고도, Arithmetic Unit나 마이크로프로세서를 사용하여 효과적으로 MPEG audio 필터뱅크를 구현할 수 있음을 보였다.

• The Transactions of the Korean Institute of Electrical Engineers D
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• v.53 no.2
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• pp.111-117
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• 2004

The low-power design of the A/D converter is indispensable to achieve the compact bio-signal measuring device with long battery duration. In this paper, new decimation filter structure is proposed for the low-power design of the Sigma-Delta A/D converter in the bio-instruments. The proposed filter is based on the non-recursive structure of the CIC (Cascaded Integrator Comb) decimation filter in the Sigma-Delta A/D converter. By combining the CSD (Canonic Signed Digit) structure with common sub-expression sharing technique, the proposed decimation filter structure can significantly reduce the number of adders for implementation. For the fixed decimation factor of 16, the 15％ of power consumption saving is achieved in the proposed structure in comparison with that of the conventional polyphase CIC filter.

• Journal of the Korean Institute of Telematics and Electronics D
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• v.35D no.10
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• pp.39-50
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• 1998

Wide-band sharp-transition filters are widely used in applications such as wireless CODEC design or medical systems. Since these filters suffer from large sensitivity and roundoff noise, large word-length is required for the VLSI implementation, which increases the hardware size and the power consumption of the chip. In this paper, a low-power implementation technique for digital filters with wide-band sharp-transition characteristics is proposed using CPL (Complementary Pass-Transistor Logic), LWDF (Lattice Wave Digital Filter) and a modified DIFIR (Decomposed & Interpolated FIR) algorithm. To reduce the short-circuit current component in CPL circuits due to threshold voltage reduction through the pass transistor, three different approaches can be used: cross-coupled PMOS latch, PMOS body biasing and weak PMOS latch. Of the three, the cross-coupled PMOS latch approach is the most realistic solution when the noise margin as well as the energy-delay product is considered. To optimize CPL transistor size with insight, the empirical formulas for the delay and energy consumption in the basic structure of CPL circuits were derived from the simulation results. In addition, the filter coefficients are encoded using CSD (Canonic Signed Digit) format and optimized by a coefficient quantization program. The hardware cost is minimized further by a modified DIFIR algorithm. Simulation result shows that the proposed method can achieve about 38% reductions in power consumption compared with the conventional method.

• The Journal of Korea Institute of Information, Electronics, and Communication Technology
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• v.13 no.1
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• pp.35-41
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• 2020

Fast Fourier transform (FFT) processors have been widely used in various application such as communications, image, and biomedical signal processing. Especially, high-performance and low-power FFT processing is indispensable in OFDM-based communication systems. This paper presents a novel radix-26 FFT algorithm with low computational complexity and high hardware efficiency. Applying a 7-dimensional index mapping, the twiddle factor is decomposed and then radix-26 FFT algorithm is derived. The proposed algorithm has a simple twiddle factor sequence and a small number of complex multiplications, which can reduce the memory size for storing the twiddle factor. When the coefficient of twiddle factor is small, complex constant multipliers can be used efficiently instead of complex multipliers. Complex constant multipliers can be designed more efficiently using canonic signed digit (CSD) and common subexpression elimination (CSE) algorithm. An efficient complex constant multiplier design method for the twiddle factor multiplication used in the proposed radix-26 algorithm is proposed applying CSD and CSE algorithm. To evaluate performance of the previous and the proposed methods, 256-point single-path delay feedback (SDF) FFT is designed and synthesized into FPGA. The proposed algorithm uses about 10% less hardware than the previous algorithm.