• 제목/요약/키워드: compressed sensing (CS)

검색결과 46건 처리시간 0.024초

압축 센싱 신호 복구를 위한 AMP(Approximate Message Passing) 알고리즘 소개 및 성능 분석 (Introduction and Performance Analysis of Approximate Message Passing (AMP) for Compressed Sensing Signal Recovery)

  • 백형호;강재욱;김기선;이흥노
    • 한국통신학회논문지
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    • 제38C권11호
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    • pp.1029-1043
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    • 2013
  • CS(Compressed Sensing)는 오늘날 신호 처리 영역에서 많은 주목을 받고 있는 이론 중의 하나이다. 이 CS 분야에서 효과적인 복구 알고리즘을 설계하는 것은 가장 큰 도전적 연구 중의 하나로 인식되고 있다. 이에 따라 다양한 복구 알고리즘이 많은 문헌을 통해서 제안 되었으며 최근에 Maleki와 Donoho에 의해 제안된 AMP(Approximation Message Passing) 알고리즘은 기존에 제시된 알고리즘에 비해 간단한 구조를 가지고 있지만 좋은 성능을 보여줌으로써 상당한 주목을 받고 있다. 기존의 (BP) Belief Propagation 알고리즘은 오직 희소(Sparse) 센싱 행렬에서만 좋은 성능을 보여 준 것에 반해, AMP 알고리즘은 밀집(Dense) 센싱 행렬에 기초를 둔 Belief Propagation 알고리즘임에도 불구하고 이와 비슷한 성능을 보여준다. 본 논문은 다양한 영역에서 AMP 알고리즘이 적용되기 위하여 이에 대한 지침 및 기존의 고전적 Message Passing 알고리즘과의 관계에 대해 분석하였다. 또한 기존의 알고리즘과의 비교 분석을 통해 AMP 알고리즘의 우수성을 제시하였다.

Side Information Extrapolation Using Motion-aligned Auto Regressive Model for Compressed Sensing based Wyner-Ziv Codec

  • Li, Ran;Gan, Zongliang;Cui, Ziguan;Wu, Minghu;Zhu, Xiuchang
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제7권2호
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    • pp.366-385
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    • 2013
  • In this paper, we propose a compressed sensing (CS) based Wyner-Ziv (WZ) codec using motion-aligned auto regressive model (MAAR) based side information (SI) extrapolation to improve the compression performance of low-delay distributed video coding (DVC). In the CS based WZ codec, the WZ frame is divided into small blocks and CS measurements of each block are acquired at the encoder, and a specific CS reconstruction algorithm is proposed to correct errors in the SI using CS measurements at the decoder. In order to generate high quality SI, a MAAR model is introduced to improve the inaccurate motion field in auto regressive (AR) model, and the Tikhonov regularization on MAAR coefficients and overlapped block based interpolation are performed to reduce block effects and errors from over-fitting. Simulation experiments show that our proposed CS based WZ codec associated with MAAR based SI generation achieves better results compared to other SI extrapolation methods.

멀티콥터 영상 전송을 위한 압축 센싱 기법 (Compressed Sensing Techniques for Video Transmission of Multi-Copter)

  • 정국현;이선의;이상화;김진영
    • 한국위성정보통신학회논문지
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    • 제9권2호
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    • pp.63-68
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    • 2014
  • 본 논문에서는 멀티콥터의 효율적 영상 전송을 위해 필요한 압축센싱 기법을 제안한다. 제안된 구조는 압축센싱에 기반한 데이터 용량을 줄이는 것에 중점을 둔다. 우선 Spectrum sensing의 기본원리를 설명하고 AMP(Approximate Message Passing)와 CoSaMP(Compressive Sampling Matched Pursuit)을 수학적 분석과 모의실험 결과를 통해서 비교한다. 또한 두 알고리즘을 계산시간과 복잡도 관점에서 평가하고 멀티콥터 동작에 적합한 알고리즘을 제안한다. 본 논문의 실험결과는 AMP 알고리즘이 CoSaMP 알고리즘보다 계산시간이 적고 이미지 에러 확률도 낮다는 것을 보여준다.

Binary Sequence Family for Chaotic Compressed Sensing

  • Lu, Cunbo;Chen, Wengu;Xu, Haibo
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제13권9호
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    • pp.4645-4664
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    • 2019
  • It is significant to construct deterministic measurement matrices with easy hardware implementation, good sensing performance and good cryptographic property for practical compressed sensing (CS) applications. In this paper, a deterministic construction method of bipolar chaotic measurement matrices is presented based on binary sequence family (BSF) and Chebyshev chaotic sequence. The column vectors of these matrices are the sequences of BSF, where 1 is substituted with -1 and 0 is with 1. The proposed matrices, which exploit the pseudo-randomness of Chebyshev sequence, are sensitive to the initial state. The performance of proposed matrices is analyzed from the perspective of coherence. Theoretical analysis and simulation experiments show that the proposed matrices have limited influence on the recovery accuracy in different initial states and they outperform their Gaussian and Bernoulli counterparts in recovery accuracy. The proposed matrices can make the hardware implement easy by means of linear feedback shift register (LFSR) structures and numeric converter, which is conducive to practical CS.

Super-RENS 디스크 채널 모델링에서 CS-기반 Sparse Volterra 필터의 적용 (Application of the CS-based Sparse Volterra Filter to the Super-RENS Disc Channel Modeling)

  • 문우식;박세황;임성빈
    • 대한전자공학회논문지TC
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    • 제49권5호
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    • pp.59-65
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    • 2012
  • 본 논문에서는 super-RENS 디스크의 채널 모델링을 위하여 압축 센싱 알고리즘에 기반한 sparse Volterra 필터에 대해 연구하였다. Super-RENS 디스크 시스템에서 심한 비선형 심벌간 간섭(ISI)이 발생하는 것은 익히 알려진 사실이다. 메모리를 가진 비선형 시스템은 Volterra 급수로 모델링할 수 있다. 또한, 압축 센싱은 측정치로부터 성긴 또는 압축된 신호를 복원할 수 있다. 이러한 이유로 super-RENS의 성긴 특성을 갖는 read-out 채널을 예측하기 위해 압축 센싱 알고리즘을 사용하였다. 평가 결과는 압축 센싱 알고리즘으로 super-RENS의 read-out 채널을 위한 sparse Volterra 모델을 효과적으로 구성할 수 있음을 보여준다.

Biases in the Assessment of Left Ventricular Function by Compressed Sensing Cardiovascular Cine MRI

  • Yoon, Jong-Hyun;Kim, Pan-ki;Yang, Young-Joong;Park, Jinho;Choi, Byoung Wook;Ahn, Chang-Beom
    • Investigative Magnetic Resonance Imaging
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    • 제23권2호
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    • pp.114-124
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    • 2019
  • Purpose: We investigate biases in the assessments of left ventricular function (LVF), by compressed sensing (CS)-cine magnetic resonance imaging (MRI). Materials and Methods: Cardiovascular cine images with short axis view, were obtained for 8 volunteers without CS. LVFs were assessed with subsampled data, with compression factors (CF) of 2, 3, 4, and 8. A semi-automatic segmentation program was used, for the assessment. The assessments by 3 CS methods (ITSC, FOCUSS, and view sharing (VS)), were compared to those without CS. Bland-Altman analysis and paired t-test were used, for comparison. In addition, real-time CS-cine imaging was also performed, with CF of 2, 3, 4, and 8 for the same volunteers. Assessments of LVF were similarly made, for CS data. A fixed compensation technique is suggested, to reduce the bias. Results: The assessment of LVF by CS-cine, includes bias and random noise. Bias appeared much larger than random noise. Median of end-diastolic volume (EDV) with CS-cine (ITSC or FOCUSS) appeared -1.4% to -7.1% smaller, compared to that of standard cine, depending on CF from (2 to 8). End-systolic volume (ESV) appeared +1.6% to +14.3% larger, stroke volume (SV), -2.4% to -16.4% smaller, and ejection fraction (EF), -1.1% to -9.2% smaller, with P < 0.05. Bias was reduced from -5.6% to -1.8% for EF, by compensation applied to real-time CS-cine (CF = 8). Conclusion: Loss of temporal resolution by adopting missing data from nearby cardiac frames, causes an underestimation for EDV, and an overestimation for ESV, resulting in underestimations for SV and EF. The bias is not random. Thus it should be removed or reduced for better diagnosis. A fixed compensation is suggested, to reduce bias in the assessment of LVF.

압축센싱 기반의 무선통신 시스템

  • 르나탄;신요안
    • 전자공학회지
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    • 제38권1호
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    • pp.56-67
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    • 2011
  • As a result of quickly growing data, a digital transmission system is required to deal with the challenge of acquiring signals at a very high sampling rate, Fortunately, the CS (Compressed Sensing or Compressive Sensing) theory, a new concept based on theoretical results of signal reconstruction, can be employed to exploit the sparsity of the received signals. Then, they can be adequately reconstructed from a set of their random projections, leading to dramatic reduction in the sampling rate and in the use of ADC (Analog-to-Digital Converter) resources. The goal of this article is provide an overview of the basic CS theory and to survey some important compressed sensing applications in wireless communications.

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Optical Signal Sampling Based on Compressive Sensing with Adjustable Compression Ratio

  • Zhou, Hongbo;Li, Runcheng;Chi, Hao
    • Current Optics and Photonics
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    • 제6권3호
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    • pp.288-296
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    • 2022
  • We propose and experimentally demonstrate a novel photonic compressive sensing (CS) scheme for acquiring sparse radio frequency signals with adjustable compression ratio in this paper. The sparse signal to be measured and a pseudo-random binary sequence are modulated on consecutively connected chirped pulses. The modulated pulses are compressed into short pulses after propagating through a dispersive element. A programmable optical filter based on spatial light modulator is used to realize spectral segmentation and demultiplexing. After spectral segmentation, the compressed pulses are transformed into several sub-pulses and each of them corresponds to a measurement in CS. The major advantage of the proposed scheme lies in its adjustable compression ratio, which enables the system adaptive to the sparse signals with variable sparsity levels and bandwidths. Experimental demonstration and further simulation results are presented to verify the feasibility and potential of the approach.

MCNP-polimi simulation for the compressed-sensing based reconstruction in a coded-aperture imaging CAI extended to partially-coded field-of-view

  • Jeong, Manhee;Kim, Geehyun
    • Nuclear Engineering and Technology
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    • 제53권1호
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    • pp.199-207
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    • 2021
  • This paper deals with accurate image reconstruction of gamma camera using a coded-aperture mask based on pixel-type CsI(Tl) scintillator coupled with silicon photomultipliers (SiPMs) array. Coded-aperture imaging (CAI) system typically has a smaller effective viewing angle than Compton camera. Thus, if the position of the gamma source to be searched is out of the fully-coded field-of-view (FCFOV) region of the CAI system, artifacts can be generated when the image is reconstructed by using the conventional cross-correlation (CC) method. In this work, we propose an effective method for more accurate reconstruction in CAI considering the source distribution of partially-coded field-of-view (PCFOV) in the reconstruction in attempt to overcome this drawback. We employed an iterative algorithm based on compressed-sensing (CS) and compared the reconstruction quality with that of the CC algorithm. Both algorithms were implemented and performed a systematic Monte Carlo simulation to demonstrate the possiblilty of the proposed method. The reconstructed image qualities were quantitatively evaluated in sense of the root mean square error (RMSE) and the peak signal-to-noise ratio (PSNR). Our simulation results indicate that the proposed method provides more accurate location information of the simulated gamma source than the CC-based method.

Quickest Spectrum Sensing Approaches for Wideband Cognitive Radio Based On STFT and CS

  • Zhao, Qi;Qiu, Wei;Zhang, Boxue;Wang, Bingqian
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제13권3호
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    • pp.1199-1212
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    • 2019
  • This paper proposes two wideband spectrum sensing approaches: (i) method A, the cumulative sum (CUSUM) algorithm with short-time Fourier transform, taking advantage of the time-frequency analysis for wideband spectrum. (ii)method B, the quickest spectrum sensing with short-time Fourier transform and compressed sensing, shortening the time of perception and improving the speed of spectrum access or exit. Moreover, method B can take advantage of the sparsity of wideband signals, sampling in the sub-Nyquist rate, and it is more suitable for wideband spectrum sensing. Simulation results show that method A significantly outperforms the single serial CUSUM detection for small SNRs, while method B is substantially better than the block detection based spectrum sensing in small probability of the false alarm.