On signal-to-noise ratio estimation

Papić, Vladimir D.; Djurović, Željko; Kvaščev, Goran; Tadić, Predrag

doi:10.1109/melcon.2010.5476314

Cited by 7 publications

(4 citation statements)

References 5 publications

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“…The system sensitivity and echo detection capability depend on the determination of a system signal-to-noise ratio (SNR). The SNR can be measured using a tissue-mimicking phantom, in which case the SNR as a function of depth, z, can be determined as the ratio of the signal power, S, to the noise power, N [20]:…”

Section: Cyst Phantommentioning

confidence: 99%

Coupled Apodization Functions Applied to Enhance Image Quality in Ultrasound Imaging using Phased Arrays

Hechkel¹,

Maaref²,

Hassen³

2021

Adv. sci. technol. eng. syst. j.

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The remarkable presence of side lobes levels in ultrasound B-mode imaging significantly decreases the image quality. Therefore, the use of an apodization function is of great importance. Linear windowing functions are among the most efficient techniques used to optimize antenna directivity by suppression of the side lobes. However, the apodization causes the degradation of lateral resolution by elevating the main lobe width. A new apodization approach that couples a linear windowing technique, and a non-linear windowing technique has been suggested. In this paper, a new dynamic apodization technique called "Dynamic Triangular Apodization" (DTA) is proposed. It enables nonlinear windowing for each imaging direction. In addition, the effectiveness of a hybrid method that combines the Hanning window with the DTA algorithm is evaluated. In order to validate the proposed method, two types of simulation are carried out; namely point spread function and cyst phantom simulation. In the point spread function simulation, the main lobe width of the dual-apodization algorithm is very similar to that of the rectangular window and at the same time, the side lobes levels are significantly reduced. In the cyst target simulation, the Contrast to Noise Ratio (CNR) values of the dual apodization are significantly improved. The performance of the non-linear apodization is numerically investigated. In comparison with the rectangular window, the non-linear apodization method called DTA-Hann maintains low side lobes levels without altering the main lobe width. Consequently, it is a promising technique that aims to ameliorate the image quality.

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Section: Cyst Phantommentioning

confidence: 99%

Coupled Apodization Functions Applied to Enhance Image Quality in Ultrasound Imaging using Phased Arrays

Hechkel¹,

Maaref²,

Hassen³

2021

Adv. sci. technol. eng. syst. j.

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“…The variance of the estimator derived with the method of moments can be obtained from the first-order Taylor expansion of g(T) about the point T = E (T) = µ, where T is the vector of the sample moments and g (T) is the function that maps the sample moments to the estimate. Under the first-order approximation the mean of the estimator is equal to g (µ) and by simple substitution using (4) and (5) it can be shown that the proposed estimators are asymptotically unbiased. The first-order approximation of the variance is given by…”

Section: Asymptotic Performancesmentioning

confidence: 99%

“…The same problem has been studied in [5], wherein Papic et al proposed an algorithm for SNR estimation based on autocorrelation and modified covariance methods for autoregressive spectral estimation and required the reliable estimate of the frequency of the sinusoid. The case of complex rather than real deterministic sinusoids in additive noise has been addressed in [6], wherein an SNR estimator derived with the method of moments [7] that makes use of second and fourth order moments was proposed (M 2 M 4 -estimator).…”

Section: Introductionmentioning

confidence: 99%

“…In this paper we propose a moment-based SNR estimator for a deterministic real sinusoid in additive noise that is formed by the ratio of the estimators of the signal power and noise power. The proposed estimators belong to the class of the second-and-fourth-order moments estimators that can be obtained by application of the method of moments [7] and do not require the reliable frequency estimate, as in [5]. We derived a new general formula for even-order moments of the observed signal that is useful not only to provide the second and fourth moments required by the method of moments, but also for the study of statistical performances of the proposed estimators.…”

Section: Introductionmentioning

confidence: 99%

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Asymptotic Performances of a Signal-To-Noise Ratio Moment-Based Estimator for Real Sinusoids in Additive Noise

Romano

2019

Applied Sciences

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We considered the problem of the estimation of signal-to-noise ratio (SNR) with a real deterministic sinusoid with unknown frequency, phase and amplitude in additive Gaussian noise of unknown variance. A blind SNR estimator that does not require the knowledge of the instantaneous frequency of the sinusoid, through separate estimation of signal and noise power, was derived using the method of moments, a general method to derive estimators based on high-order moments. Statistical performances of the proposed estimators were studied theoretically through derivation of Cramer–Rao lower bounds (CRLBs) and asymptotic variances. Furthermore, results from Monte-Carlo simulations that confirm the validity of the theoretical analysis are presented along with some comments on the use of proposed estimators in practical applications.

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Methodological Considerations in the Analysis of Acoustically Evoked Neural Signals: A Comparative Study of Active EEG, Passive EEG and MEG

Kölbl,

Tziridis,

Krauss

et al. 2024

2024 46th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC)

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On signal-to-noise ratio estimation

Cited by 7 publications

References 5 publications

Coupled Apodization Functions Applied to Enhance Image Quality in Ultrasound Imaging using Phased Arrays

Coupled Apodization Functions Applied to Enhance Image Quality in Ultrasound Imaging using Phased Arrays

Asymptotic Performances of a Signal-To-Noise Ratio Moment-Based Estimator for Real Sinusoids in Additive Noise

Methodological Considerations in the Analysis of Acoustically Evoked Neural Signals: A Comparative Study of Active EEG, Passive EEG and MEG

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