Confidence bounds for signal-to-noise ratios from magnitude-squared coherence estimates

Fay, J.

doi:10.1109/icassp.1980.1170990

Cited by 2 publications

(3 citation statements)

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“…Therefore, the power of incoherent components ("noise") is expressed by (1 ) − w  CF . Consequently, the CF w  CF can be transformed into the SNR as follows 32 :…”

Section: Lr Beamformingmentioning

confidence: 99%

“…The lateral spatial resolution was defined as the lateral full width at half maximum (FWHM) of an amplitude profile of an echo from a point scatterer or fine string. (dB µ µ (32) where µ b and µ 1 are mean gray levels in background and lesion, respectively. The anechoic cyst phantom was adopted as the lesion, and diffuse scattering medium was adopted as background.…”

Section: Evaluation Metricsmentioning

confidence: 99%

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Converting Coherence to Signal-to-noise Ratio for Enhancement of Adaptive Ultrasound Imaging

Hasegawa

Nagaoka

2019

Ultrason Imaging

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High-frame-rate ultrasound is an emerging technique for functional ultrasound imaging. However, the lateral spatial resolution and contrast in high-frame-rate ultrasound with an unfocused transmit beam are inherently lower than those in conventional ultrasonic imaging based on the line-by-line acquisition using a focused ultrasonic beam because of the low directivity of the transmit beam. Coherence-based beamforming methods were introduced in ultrasound imaging for improvement of image quality. Such methods improve the lateral spatial resolution using the coherence among ultrasonic echo signals received by individual transducer elements. In this study, a new method based on the signal-to-noise ratio (SNR) among the element echo signals was developed for enhancement of the effect of the coherence factor (CF), which was previously developed for improvement in spatial resolution and contrast. In the proposed method, a new factor, namely, SNR factor, was introduced, and the relationship between the previously developed CF and SNR factor was discussed. The proposed method was implemented in plane wave imaging, and the performance was evaluated by simulated and phantom experiments. In simulation, the lateral spatial resolution and contrast obtained with the conventional CF were 0.23 mm and 47.0 dB, respectively, which were significantly better than 0.39 mm and 15.3 dB obtained by conventional delay-and-sum (DAS) beamforming. Using the proposed method, the lateral spatial resolution and contrast were further improved to 0.12 mm and 69.8 dB, respectively. Similar trends were found also in phantom experiments.

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“…Therefore, the power of incoherent components ("noise") is expressed by (1 ) − w  CF . Consequently, the CF w  CF can be transformed into the SNR as follows 32 :…”

Section: Lr Beamformingmentioning

confidence: 99%

Section: Evaluation Metricsmentioning

confidence: 99%

Converting Coherence to Signal-to-noise Ratio for Enhancement of Adaptive Ultrasound Imaging

Hasegawa

Nagaoka

2019

Ultrason Imaging

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show abstract

“…Since the sampling distribution of coherence estimates between Gaussian signals is well established [4], the statistics of these related quantities can be readily found if they are obtained based on coherence estimation and if the signals can be assumed to be Gaussian distributed. Under these assumptions, Fay [5] derived confidence bounds for SNRestimates based on such bounds of coherence estimates.…”

Section: Introductionmentioning

confidence: 99%

A note on the coherence-based signal-to-noise ratio estimation in systems with periodic inputs

Sá¹

2006

Journal of the Franklin Institute

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Confidence bounds for signal-to-noise ratios from magnitude-squared coherence estimates

Cited by 2 publications

References 0 publications

Converting Coherence to Signal-to-noise Ratio for Enhancement of Adaptive Ultrasound Imaging

Converting Coherence to Signal-to-noise Ratio for Enhancement of Adaptive Ultrasound Imaging

A note on the coherence-based signal-to-noise ratio estimation in systems with periodic inputs

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