• Title/Summary/Keyword: Quantization Error

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Wavelet Lifting based ECG Signal Compression Using Multi-Stage Vector Quantization (다단계 벡터 양자화를 이용한 웨이브렛 리프팅 기반 ECG 압축)

  • Park, Seo-Young;Jeong, Gyu-Hyeok;Kim, Young-Ju;Lee, In-Sung;Joo, Gi-Ho
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.43 no.6 s.312
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    • pp.76-82
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    • 2006
  • In this paper, the biomedical signal compression method, which is combined with the multi-stage vector quantization and wavelet lifting scheme, is proposed. It utilizes the property of wavelet coefficients that give emphasis on approximation coefficients. The transmitted codebook index consists of the code vectors obtained by wavelet lifting coefficients of ECG and error signals from the 1024 block length, respectively. Each codebook is adaptively updated by the method comparing to the distance of input codevectors with candidate codevectors by using an pre-defined threshold value. The proposed compression method showed blow 3% in term of PRD and 276.62 bits/sec in term of CDR.

Optimal Relay Selection and Power Allocation in an Improved Low-Order-Bit Quantize-and-Forward Scheme

  • Bao, Jianrong;He, Dan;Xu, Xiaorong;Jiang, Bin;Sun, Minhong
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.10 no.11
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    • pp.5381-5399
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    • 2016
  • Currently, the quantize-and-forward (QF) scheme with high order modulation and quantization has rather high complexity and it is thus impractical, especially in multiple relay cooperative communications. To overcome these deficiencies, an improved low complex QF scheme is proposed by the combination of the low order binary phase shift keying (BPSK) modulation and the 1-bit and 2-bit quantization, respectively. In this scheme, the relay selection is optimized by the best relay position for best bit-error-rate (BER) performance, where the relays are located closely to the destination node. In addition, an optimal power allocation is also suggested on a total power constraint. Finally, the BER and the achievable rate of the low order 1-bit, 2-bit and 3-bit QF schemes are simulated and analyzed. Simulation results indicate that the 3-bit QF scheme has about 1.8~5 dB, 4.5~7.5 dB and 1~2.5 dB performance gains than those of the decode-and-forward (DF), the 1-bit and 2-bit QF schemes, at BER of $10^{-2}$, respectively. For the 2-bit QF, the scheme of the normalized Source-Relay (S-R) distance with 0.9 has about 5dB, 7.5dB, 9dB and 15dB gains than those of the distance with 0.7, 0.5, 0.3 and 0.1, respectively, at BER of $10^{-3}$. In addition, the proposed optimal power allocation saves about 2.5dB much more relay power on an average than that of the fixed power allocation. Therefore, the proposed QF scheme can obtain excellent features, such as good BER performance, low complexity and high power efficiency, which make it much pragmatic in the future cooperative communications.

An Efficient Architecture of Transform & Quantization Module in MPEG-4 Video Code (MPEG-4 영상코덱에서 DCTQ module의 효율적인 구조)

  • 서기범;윤동원
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.40 no.11
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    • pp.29-36
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    • 2003
  • In this paper, an efficient VLSI architecture for DCTQ module, which consists of 2D-DCT, quantization, AC/DC prediction block, scan conversion, inverse quantization and 2D-IDCT, is presented. The architecture of the module is designed to handle a macroblock data within 1064 cycles and suitable for MPEG-4 video codec handling 30 frame CIF image for both encoder and decoder simultaneously. Only single 1-D DCT/IDCT cores are used for the design instead of 2-D DCT/IDCT, respectively. 1-bit serial distributed arithmetic architecture is adopted for 1-D DCT/IDCT to reduce the hardware area in this architecture. To reduce the power consumption of DCTQ modu1e, we propose the method not to operate the DCTQ modu1e exploiting the SAE(sum of absolute error) value from motion estimation and cbp(coded block pattern). To reduce the AC/DC prediction memory size, the memory architecture and memory access method for AC/DC prediction block is proposed. As the result, the maximum utilization of hardware can be achieved, and power consumption can be minimized. The proposed design is operated on 27MHz clock. The experimental results show that the accuracy of DCT and IDCT meet the IEEE specification.

Additional Thermometer Code Locking Technique for Minimizing Quantization Error in Low Area Digital Controlled Oscillators (저면적 디지털 제어 발진기의 양자화 에러 최소화를 위한 추가 서모미터 코드 잠금 기법)

  • Byeongseok Kang;Young-Sik Kim;Shinwoong Kim
    • Journal of IKEEE
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    • v.27 no.4
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    • pp.573-578
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    • 2023
  • This paper introduces a new locking technique applicable to high-performance digital Phase-Locked Loops (DPLL). The study employs additional thermometer codes to reduce quantization errors in LC-based Digital Controlled Oscillators (DCO). Despite not implementing the entire DCO codes in thermometer mode, this method effectively reduces quantization errors through enhanced linearity. In the initial locking phase, binary codes are used, and upon completion of locking, the system transitions to thermometer codes, achieving high frequency linearity and reduced jitter characteristics. This approach significantly reduces the number of switches required and minimizes the oscillator's area, especially in applications requiring low DCO gain (Kdco), compared to the traditional method that uses only thermometer codes. Furthermore, the jitter performance is maintained at a level equivalent to that of the thermometer-only approach. The efficacy of this technique has been validated through modeling and design at the RTL level using SystemVerilog and Verilog HDL.

The Design of Optimum Hierarchical Subband Filter Bank (최적화된 계층구조를 갖는 서브밴드 필터뱅크의 설계)

  • Park, Kyu-Sik;Park, Jae-Hyun
    • The Transactions of the Korea Information Processing Society
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    • v.3 no.4
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    • pp.938-946
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    • 1996
  • Hierarchical subband codec has been widely promoted in the field of data compression/decompression because of their simplicity and modular nature. Over the past years, the study has received great attention to the perfect reconstruction (PR)system which perfectly recovers the original input signal at the reconstructed output. However, in the actual subband codec system, the signals that passed through the analysis filter bank are quantized before transmission to the receiver side and reconstructed by the synthesis filter bank. Thus the PR system is impossible and the quantization effects must be carefully considered in the system design such that the system recovers the reconstructed output as possible to the the original input signal with minimum quantization error.In this paper, we propose an optimum hierarchical subband codec structure in the presence of quantizer. The optimality criteria of the code is given to the deign of the hierarchical analysis/synthesis subband filter bank and the quantizer that minimize then output mean square error due to the quantizer in the codec. Specific opti-mum design esamples are shown with level-1, level-2 hierarchical structure. The optimal designs are verified by computer simulation.

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The Lambert W Function in the Design of Minimum Mean Square-Error Quantizers for a Laplacian Source (램버트 W 함수를 사용한 라플라스 신호의 최소 평균제곱오차 양자화)

  • 송현정;나상신
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.27 no.6A
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    • pp.524-532
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    • 2002
  • This paper reports that the Lambert W function applies to a non-iterative design of minimum mean square-error scalar quantizers for a Laplacian source. Specifically, it considers a non-iterative design algorithm for optimum quantizers for a Laplacian source; it finds that the solution of the recursive nonlinear equation in the non-iterative design is elegantly expressed in term of the principal branch of the Lambert W function in a closed form; and it proves that the non-iterative algorithm applies only to exponential or Laplacian sources. The contribution of the paper is in the reduction of the time needed for the design and the increased accuracy in resulting quantization points and thresholds, because the algorithm is non-iterative and the Lambert W function can be evaluated as accurately as desired. Also, numerical results show how optimal quantization distortion converges monotonically to the Panter-Dite constant and help derive an approximation formula for the key parameters of optimum quantizers.

Efficient Multispectral Image Compression Using Variable Block Size Vector Quantization (가변 블럭 벡터 양자화를 이용한 효율적인 다분광 화상 데이터 압축)

  • Ban, Seong-Won;Kim, Byeong-Ju;Seok, Jeong-Yeop;Gwon, Seong-Geun;Gwon, Gi-Gu;Kim, Yeong-Chun;Lee, Geon-Il
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.38 no.6
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    • pp.703-711
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    • 2001
  • In this paper, we propose efficient multispectral image compression using variable block size vector quantization (VQ). In wavelet domain, we perform the variable block size VQ to remove intraband redundancy for a reference band image that has the lowest spatial variance and the best correlation with other band. And in wavelet domain, we perform the classified interband prediction to remove interband redundancy for the remaining bands. Then error wavelet coefficients between original image and predicted image are residual variable block size vector quantized to reduce prediction error. Experiments on remotely sensed satellite image show that coding efficiency of the proposed method is better than that of the conventional method.

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Design of an IFFT∪FFT processor with manipulated coefficients based on the statistics distribution for OFDM (확률분포 특성을 이용한 OFDM용 IFFT∪FFT프로세서 설계)

  • Choi, Won-Chul;Lee, Hyun;Cho, Kyoung-Rok
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.40 no.12
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    • pp.87-94
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    • 2003
  • In this paper, we propose an IFFT/FFT design method to minimize quantization error in IEEE 802.11a WLAN. In the proposed algorithm, the twiddle coefficient of IFFT/FFT processor is manipulated by the statistics distribution of the input data at each stage. We applies this algorithm to radix-2/$^2$ SDF architecture. Both IFFT and FFT processor shares the circuit blocks cause to the symmetric architecture. The maximum quantization error with the 10 bits length of the input and output data is 0.0021 in IFFT and FFT that has a self-loop structure with the proposed method. As a result, the proposed architecture saves 3bits for the data to keep the same resolution compared with the conventional method.

Performance Analysis of a TransferJet System (TransferJet 시스템의 성능분석)

  • Park, Kyung-Won;Wee, Jeong-Wook;Seo, Jeong-Wook;Jeon, Won-Gi
    • Journal of Advanced Navigation Technology
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    • v.16 no.5
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    • pp.810-816
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    • 2012
  • In this paper, BER(Bit Error Ratio) performances of the TransferJet system, which is the standard of a close proximity inductive wireless communication system, are presented and analyzed. Comparing to other wireless communication systems, the TransferJet system has some advantages such as short communication range(i.e., high security in the wireless communication environments), fewer effects of multipath distortion, and higher transmission rate. In order to demodulate the received signal, either SC(Soft-decision Combining) or HC(Hard-decision Combining) can apply to the despreader and demodulator of the receiver. When the spreading factor is more than 4, the SC scheme approximately has a minimum signal-to-noise ratio gain of 2 dB over the HC scheme. Moreover, from simulation results, we can conclude that the quantization bits of 3 bits are an optimum value for the SC scheme in the TransferJet system since the 3-bit quantization achieves nearly the performance as that attained by double-precision floating-point.

Ordered Interference Alignment in MIMO Interference Channel with Limited Feedback (제한된 궤환 채널 기반 MIMO 간섭 채널에서의 순서화 된 간섭 정렬 기법 설계)

  • Cho, Sungyoon;Yang, Minho;Yang, Janghoon;Kim, Dong Ku
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.37B no.10
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    • pp.938-946
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    • 2012
  • Interference alignment (IA) is a data transmission technique that achieves the maximum degrees-of-freedom (DoF) in the multiuser interference channel for high signal-to-noise ratios (SNRs). However, most prior works on IA are based on the unrealistic assumption that perfect and global channel-state information (CSI) is available at all transmitters and receivers. In this paper, we propose the efficient design of feedback framework for IA that substantially suppresses the feedback overhead. While the feedback overhead in the conventional IA quadratically increases with K, the proposed feedback scheme supports the sequential exchange of computed IA precoders between transmitters and receivers and reduces the feedback overhead that linearly scales with K. Moreover, we analyze the residual interference due to the quantization error in limited feedback and propose the ordered IA algorithm that selects IA pair to minimize the sum residual interference in given channel realizations.