scholarly journals Signal-to-noise ratio in diffusion-ordered spectroscopy: how good is good enough?

2021 ◽  
Vol 2 (2) ◽  
pp. 733-739
Author(s):  
Jamie Guest ◽  
Peter Kiraly ◽  
Mathias Nilsson ◽  
Gareth A. Morris

Abstract. Diffusion-ordered NMR spectroscopy (DOSY) constructs multidimensional spectra displaying signal strength as a function of Larmor frequency and of diffusion coefficient from experimental measurements using pulsed field gradient spin or stimulated echoes. Peak positions in the diffusion domain are determined by diffusion coefficients estimated by fitting experimental data to some variant of the Stejskal–Tanner equation, with the peak widths determined by the standard error estimated in the fitting process. The accuracy and reliability of the diffusion domain in DOSY spectra are therefore determined by the uncertainties in the experimental data and thus in part by the signal-to-noise ratio of the experimental spectra measured. Here the Cramér–Rao lower bound, Monte Carlo methods, and experimental data are used to investigate the relationship between signal-to-noise ratio, experimental parameters, and diffusion domain accuracy in 2D DOSY experiments. Experimental results confirm that sources of error other than noise put an upper limit on the improvement in diffusion domain accuracy obtainable by time averaging.

2021 ◽  
Author(s):  
Jamie Guest ◽  
Peter Kiraly ◽  
Mathias Nilsson ◽  
Gareth Morris

Abstract. Diffusion-ordered NMR spectroscopy (DOSY) constructs multidimensional spectra displaying signal strength as a function of Larmor frequency and of diffusion coefficient from experimental measurements using pulsed field gradient spin or stimulated echoes. Peak positions in the diffusion domain are determined by diffusion coefficients estimated by fitting experimental data to some variant of the Stejskal-Tanner equation, with the peak widths determined by the standard error estimated in the fitting process. The accuracy and reliability of the diffusion domain in DOSY spectra are therefore determined by the uncertainties in the experimental data, and thus in part by the signal-to-noise ratio of the experimental spectra measured. Here the Cramér-Rao lower bound, Monte Carlo methods and experimental data are used to investigate the relationship between signal-to-noise ratio, experimental parameters, and diffusion domain accuracy in 2D DOSY experiments. Experimental results confirm that sources of error other than noise put an upper limit on the improvement in diffusion domain accuracy obtainable by time averaging.


2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Ansgar T. Kirk ◽  
Alexander Bohnhorst ◽  
Stefan Zimmermann

Abstract While the resolving power of drift tube ion mobility spectrometers has been studied and modelled in detail over the past decades, no comparable model exists for the signal-to-noise-ratio. In this work, we develop an analytical model for the signal-to-noise-ratio of a drift tube ion mobility spectrometer based on the same experimental parameters used for modelling the resolving power. The resulting holistic model agrees well with experimental results and allows simultaneously optimizing both resolving power and signal-to-noise-ratio. Especially, it reveals several unexpected relationships between experimental parameters. First, even though reduced initial ion packet widths result in fewer injected ions and reduced amplifier widths result in more noise, the resulting shift of the optimum operating point when reducing both simultaneously leads to a constant signal-to-noise-ratio. Second, there is no dependence of the signal-to-noise-ratio at the optimum operating point on the drift length, as again the resulting shift of the optimum operating point causes all effects to compensate each other.


2021 ◽  
Vol 97 (5) ◽  
pp. 115-121
Author(s):  
Ch.A. Ch.A. SCHIRJETSKY1

In this paper, based on the analysis of the results of field surveys of the acoustics of canonical prayer halls of the Orthodox and Muslim confessions, a proposal for an objective assessment of the specific sense of sacredness of religious events is developed. A new parameter for assessing this feeling is presented-the so - called "height measure" of the perception of the sound of the temple, with the method of its calculation and measurement. The relationship of this parameter with the known volume criteria of echo formations is estimated, depending on the geometry of the church (first of all, on the height of the main dome) and the signal-to-noise ratio for the characteristic areas of the parishioners 'accommodation.


Ultrasound ◽  
2008 ◽  
Vol 16 (4) ◽  
pp. 187-192 ◽  
Author(s):  
Andrew Gee ◽  
Joel Lindop ◽  
Graham Treece ◽  
Richard Prager ◽  
Susan Freeman

Background: Freehand quasistatic strain imaging can reveal qualitative information about tissue stiffness with good spatial accuracy. Clinical trials, however, repeatedly cite instability and variable signal-to-noise ratio as significant drawbacks. Methods: This study investigates three post-processing strategies for quasistatic strain imaging. Normalization divides the strain by an estimate of the stress field, the intention being to reduce sensitivity to variable applied stress. Persistence aims to improve the signal-to-noise ratio by time-averaging multiple frames. The persistence scheme presented in this article operates at the pixel level, weighting each frame's contribution by an estimate of the strain precision. Precision-based display presents the clinician with an image in which regions of indeterminate strain are obscured behind a colour wash. This is achieved using estimates of strain precision that are faithfully propagated through the various stages of signal processing. Results and discussion: The post-processing strategy is evaluated qualitatively on scans of a breast biopsy phantom and in vivo head and neck examinations. Strain images processed in this manner are observed to benefit from improved stability and signal-to-noise ratio. There are, however, limitations. In unusual though conceivable circumstances, the normalization procedure might suppress genuine stiffness variations evident in the unprocessed strain images. In different circumstances, the raw strain images might fail to capture significant stiffness variations, a situation that no amount of post-processing can improve. Conclusion: The clinical utility of freehand quasistatic strain imaging can be improved by normalization, precision-weighted pixel-level persistence and precision-based display. The resulting images are stable and generally exhibit a better signal-to-noise ratio than any of the original, unprocessed strain images.


2020 ◽  
Vol 10 (23) ◽  
pp. 8450
Author(s):  
Seungwoo Lee ◽  
Iksu Seo ◽  
Jongwon Seok ◽  
Yunsu Kim ◽  
Dong Seog Han

Detection and classification of unidentified underwater targets maneuvering in complex underwater environments are critical for active sonar systems. In previous studies, many detection methods were applied to separate targets from the clutter using signals that exceed a preset threshold determined by the sonar console operator. This is because the high signal-to-noise ratio target has enough feature vector components to separate. However, in a real environment, the signal-to-noise ratio of the received target does not always exceed the threshold. Therefore, a target detection algorithm for various target signal-to-noise ratio environments is required; strong clutter energy can lead to false detection, while weak target signals reduce the probability of detection. It also uses long pulse repetition intervals for long-range detection and high ambient noise, requiring classification processing for each ping without accumulating pings. In this study, a target classification algorithm is proposed that can be applied to signals in real underwater environments above the noise level without a threshold set by the sonar console operator, and the classification performance of the algorithm is verified. The active sonar for long-range target detection has low-resolution data; thus, feature vector extraction algorithms are required. Feature vectors are extracted from the experimental data using Power-Normalized Cepstral Coefficients for target classification. Feature vectors are also extracted with Mel-Frequency Cepstral Coefficients and compared with the proposed algorithm. A convolutional neural network was employed as the classifier. In addition, the proposed algorithm is to be compared with the result of target classification using a spectrogram and convolutional neural network. Experimental data were obtained using a hull-mounted active sonar system operating on a Korean naval ship in the East Sea of South Korea and a real maneuvering underwater target. From the experimental data with 29 pings, we extracted 361 target and 3351 clutter data. It is difficult to collect real underwater target data from the real sea environment. Therefore, the number of target data was increased using the data augmentation technique. Eighty percent of the data was used for training and the rest was used for testing. Accuracy value curves and classification rate tables are presented for performance analysis and discussion. Results showed that the proposed algorithm has a higher classification rate than Mel-Frequency Cepstral Coefficients without affecting the target classification by the signal level. Additionally, the obtained results showed that target classification is possible within one ping data without any ping accumulation.


Author(s):  
Issahaku Shirazu ◽  
Theophilus Sackey ◽  
Mary Boadu ◽  
Ernest Kojo Eduful ◽  
Edem Sosu ◽  
...  

SPECT is a nuclear medicine tomographic imaging technique which uses gamma rays to produce images from a radioactive source. The source is either administered or injected into the patient and an attached computer process the information as an image. In medical imaging procedure, patients radiation dose are manage through appropriate dose optimisation protocol by various imaging centers. The protocol is designed to establish a balance between the injected activity and the quality of images produced. The aim of the study is to determine and design a GUI of the relationship between patient’s radiation dose from the injected activities and the image quality based on the signal to noise ratio. The study procedure involved three processes, the injected activities, which is administered to patients based on age, weight and gender, the process imaging technique based on image reconstruction method and the image quality, based on signal to noise ratio. Minitab statistical application tool was used to design a comprehensive clinical support application software based on mathematical model of patient’s preclinical information and administered activity. This was done by using experimental analytical modeling technique to determine BSI, from measured body height and weight based on age and gender. The Minitab regression modeling technique was then used to model the relationship between administered activities (potential patient dose) based on age and weight and image quality based on signal to noise ratio (SNR). So that with known patient’s height and weight and the injected activity, pre-imaging input parameters are determined, enabling dose estimate parameters to be predicted before the beginning of the imaging procedure. These were done in order to predict the expected SNR that will be good enough to answer all the clinical questions from the administered activities. This enable dose optimisation protocol to be established using a comprehensive clinical decision support application software for clinical application in SPECT imaging.


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