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Pulsed nuclear magnetic resonance (NMR) is widely used in high-precision magnetic field measurements. The absolute value of the magnetic field is determined from the precession frequency of nuclear magnetic moments. The Hilbert transform is…

This technical note is on digital filters for the high-fidelity estimation of a sinusoidal signal's frequency in the presence of additive noise. The complex noise is assumed to be white (i.e. uncorrelated) however it need not be Gaussian.…

Signal Processing · Electrical Eng. & Systems 2023-08-15 Hugh Lachlan Kennedy

Existing algorithms for fitting the parameters of a sinusoid to noisy discrete time observations are not always successful due to initial value sensitivity and other issues. This paper demonstrates the techniques of FIR filtering, Fast…

General Mathematics · Mathematics 2012-08-27 Francis J. O'Brien, , Nathan Johnnie

Accurate phase extraction from sinusoidal signals is a crucial task in various signal processing applications. While prior research predominantly addresses the case of asynchronous sampling with unknown signal frequency, this study focuses…

Signal Processing · Electrical Eng. & Systems 2024-11-01 Emmanuel Dervieux , Florian Tilquin , Alexis Bisiaux , Wilfried Uhring

We present different computational approaches for the rapid extraction of the signal parameters of discretely sampled damped sinusoidal signals. We compare time- and frequency-domain-based computational approaches in terms of their accuracy…

Instrumentation and Detectors · Physics 2020-10-23 Jim C. Visschers , Emma Wilson , Thomas Conneely , Andrey Mudrov , Lykourgos Bougas

Frequency estimation is a fundamental problem in signal processing, with applications in radar imaging, underwater acoustics, seismic imaging, and spectroscopy. The goal is to estimate the frequency of each component in a multisinusoidal…

Machine Learning · Computer Science 2021-02-04 Gautier Izacard , Sreyas Mohan , Carlos Fernandez-Granda

A Discrete Fourier Transform Method (DFTM) for discrimination between the signal of neutrons and gamma rays in organic scintillation detectors is presented. The method is based on the transformation of signals into the frequency domain…

Instrumentation and Detectors · Physics 2016-11-03 M. J. Safari , F. Abbasi Davani , H. Afarideh , S. Jamili , E. Bayat

Real-time frequency readout of time-dependent pulsed signals with a high sensitivity are key elements in many applications using atomic devices, such as FID atomic magnetometers. In this paper, we propose a frequency measurement algorithm…

Instrumentation and Detectors · Physics 2025-06-06 Tong Gong , Ming-Rui Shu , Jiang He , Kai Liu , Yi-Ren Li , Xin-Jun Hao , Dong Sheng , Yu-Ming Wang , Yu-Kun Feng

This paper proposes a high-precision time measurement method based on digital frequency-domain phase-fitting (DFPF) by using the digitized nuclear pulses. The averaging effect inherent in the frequency-domain cross-correlation and…

Instrumentation and Detectors · Physics 2025-04-17 Jianjun Wang , Zhaohui Bu , Zhao Wang , Jincheng Xu , Liguo Zhou , Qibin Zheng

Accurate direct measurements of far-field thermal infrared emission become increasingly important because conventional methods, relying on indirect assessments, such as reflectance/transmittance, are inaccurate or even unfeasible to…

Instrumentation and Detectors · Physics 2023-03-14 Xiu Liu , Hakan Salihoglu , Xiao Luo , Hyeong Seok Yun , Lin Jing , Bowen Yu , Sheng Shen

The parameters in a nuclear magnetic resonance (NMR) free induction decay (FID) signal contain information that is useful in magnetic field measurement, magnetic resonance sounding (MRS) and other related applications. A real time sampled…

Instrumentation and Detectors · Physics 2017-08-18 Huan Liu , Haobin Dong , Zheng Liu , Jian Ge , Bingjie Bai , Cheng Zhang

This paper considers the problem of frequency estimation for a multi-sinusoidal signal consisting of n sinuses in finite-time. The parameterization approach based on applying delay operators to a measurable signal is used. The result is the…

Systems and Control · Electrical Eng. & Systems 2020-09-15 Anastasiia Vediakova , Alexey Vedyakov , Anton Pyrkin , Alexey Bobtsov , Vladislav Gromov

Nuclear magnetic resonance (NMR) spectroscopy exploits the magnetic properties of atomic nuclei to discover the structure, reaction state and chemical environment of molecules. We propose a probabilistic generative model and inference…

Accurately modeling the inspiral-merger-ringdown (IMR) signal of coalescing compact objects is essential for the test of general relativity. However, it is known that astrophysical environments can distort gravitational-wave (GW) signal…

High Energy Astrophysical Phenomena · Physics 2026-04-02 Xinmiao Zhao , Han Yan , Xian Chen

We propose a method of data quantization of finite discrete-time signals which optimizes the error estimate of low frequency Haar coefficients. We also discuss the error/noise bounds of this quantization in the Fourier space. Our result…

Signal Processing · Electrical Eng. & Systems 2021-01-12 Shu Nakamura

We present a digital algorithm for measuring the phase difference between two sinusoidal signals that combines the modified fringe-counting method with two-sample zero crossing to enable sequential signal processing. This technique can be…

Instrumentation and Detectors · Physics 2016-06-28 Wataru Kokuyama , Hideaki Nozato , Akihiro Ohta , Koichiro Hattori

We propose a multi-tone decomposition algorithm that can find the frequencies, amplitudes and phases of the fundamental sinusoids in a noisy observation sequence. Under independent identically distributed Gaussian noise, our method utilizes…

Signal Processing · Electrical Eng. & Systems 2022-03-29 Kaan Gokcesu , Hakan Gokcesu

Driven by advances in electronic technology, modern digital phasemeters have significantly improved in integration and functionality, enabling real-time measurement and analysis of dynamic signals. High-precision phase measurement is…

Instrumentation and Detectors · Physics 2025-06-10 Yujie Feng , Yuanze Jiang , Liuyang Chen , Haifeng Chen , Yurong Liang

Nuclear magnetic resonance (NMR) technique benefits from high magnetic field not only due to the field-enhanced measurement sensitivity and resolution, but also because it is a powerful tool to investigate field-induced physics in modern…

Instrumentation and Detectors · Physics 2023-05-05 Wenqi Wei , Qinying Liu , Le Yuan , Jian Zhang , Shiyu Liu , Rui Zhou , Yongkang Luo , Xiaotao Han

A novel photonics-assisted method based on presampling and MDA technique is proposed for significantly improving the frequency estimation precision without introducing other complex algorithms. This method is also compatible with existing…

Signal Processing · Electrical Eng. & Systems 2019-08-20 Guangyu Gao , Naijin Liu
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