전자공학회논문지 (Journal of the Institute of Electronics and Information Engineers)

  • 제53권6호
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  • Pages.167-173
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  • 2016
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  • 2287-5026(pISSN)
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  • 2288-159X(eISSN)
대한전자공학회 (The Institute of Electronics and Information Engineers)
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압축 센싱을 이용한 주파수 영역의 초음파 감쇠 지수 예측

Estimation of Ultrasonic Attenuation Coefficients in the Frequency Domain using Compressed Sensing

  • Shim, Jaeyoon (Department of Electrical Engineering, Kwangwoon University) ;
  • Kim, Hyungsuk (Department of Electrical Engineering, Kwangwoon University)
  • 투고 : 2016.04.15
  • 심사 : 2016.05.31
  • 발행 : 2016.06.25
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초록

압축 센싱은 기존의 섀넌/나이키스트 이론보다 낮은 샘플링률로 신호를 샘플링 하여도 원신호로 복원할 수 있다는 이론이다. 본 논문에서는 압축 센싱을 이용하여 반향 신호의 정량적 주파수 특성을 직접 추출하여 이를 이용한 초음파 감쇠 지수 예측 방법을 제안한다. 일반적인 초음파 감쇠 지수 예측 방법들은 시간 영역에서 수집된 반향 신호를 Fourier 변환 등을 통해 주파수 영역으로 변환하는데, 제안하는 예측 방법은 압축 센싱으로 수집된 데이터를 복원하는 과정에서 적용하는 basis 행렬을 이용하여 시간 영역으로의 완전한 신호 복원 없이 반향 신호의 주파수 특성을 직접 추출하여 감쇠 지수를 예측한다. 3가지의 basis 행렬을 통해 주파수 영역에서 복원된 반향 신호에 대하여 다중 참조 신호를 이용한 Centroid Downshift 방법으로 감쇠 지수를 예측하여 각각의 예측 정확도와 실행 시간을 비교 분석하였다. 컴퓨터 모의 실험 결과 이산 코사인 변환(DCT) 행렬을 적용하는 경우, 50%의 압축률에서는 압축 센싱을 적용하지 않은 경우와 0.35% 이내의 예측 정확도를 보였으며, 압축률을 70%까지 높이는 경우에도 약 6% 이내의 평균 예측 오차를 보였다. 제안한 압축 센싱을 적용한 반향 신호의 주파수 특성 추출 방법은 향후 주파수 영역의 다른 정량적 초음파 분석 방법에 적용할 수 있다.

Compressed Sensing(CS) is the theory that can recover signals which are sampled below the Nyquist sampling rate to original analog signals. In this paper, we propose the estimation algorithm of ultrasonic attenuation coefficients in the frequency domain using CS. While most estimation algorithms transform the time-domain signals into the frequency-domain using the Fourier transform, the proposed method directly utilize the spectral information in the recovery process by the basis matrix without the completely recovered signals in the time domain. We apply three transform bases for sparsifying and estimate the attenuation coefficients using the Centroid Downshift method with Dual-reference diffraction compensation technique. The estimation accuracy and execution time are compared for each basis matrix. Computer simulation results show that the DCT basis matrix exhibits less than 0.35% estimation error for the compressive ratio of 50% and about 6% average error for the compressive ratio of 70%. The proposed method which directly extracts frequency information from the CS signals can be extended to estimating for other ultrasonic parameters in the Quantitative Ultrasound (QUS) Analysis.

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참고문헌

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