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Doppler radars are routinely used for the remote sensing of oceanic surface currents and atmospheric wind profiles. Even though they operate at different frequencies and address different media, they follow very similar processing for the…

Atmospheric and Oceanic Physics · Physics 2021-02-02 Baptiste Domps , Julien Marmain , Charles-Antoine Guérin

An aperiodic (low frequency) spectrum may originate from the error term in the mean value of an arithmetical function such as M\"obius function or Mangoldt function, which are coding sequences for prime numbers. In the discrete Fourier…

Mathematical Physics · Physics 2009-11-07 M. Planat , H. C. Rosu , S. Perrine

In this paper, we describe the evolution of a pair of polyphase coded waveform for use in second trip suppression in weather radar. The polyphase codes were designed and tested on NASA weather radar. The NASA dual-frequency,…

Signal Processing · Electrical Eng. & Systems 2020-03-12 Mohit Kumar , V. Chandrasekar , Shashank Joshil

We introduce the first method to enable an optical amplification of a coherent Raman spectroscopy signal called radio frequency Doppler Raman spectroscopy. Doppler Raman measurements amplify the optical signals in coherent Raman…

As an old and widely used tool, it is still possible to find new insights and applications from Fast Fourier Transform (FFT)-based analyses. The FFT is frequently used to generate the Power Spectral Density (PSD) function, by squaring the…

Data Analysis, Statistics and Probability · Physics 2009-01-26 Sheng-Chiang Lee , Randall D. Peters

In the civilian aviation field, the radar detection of hazardous weather phenomena (winds) is very important. This detection will allow the avoidance of these phenomena and consequently will enhance the safety of flights. In this work, we…

Instrumentation and Detectors · Physics 2012-01-27 Mohand Lagha , Mohamed Tikhemirine , Said Bergheul , Tahar Rezoug , Maamar Bettayeb

We derive the closed form Cramer-Rao bound (CRB) expressions for joint estimation of time delay and Doppler shift with unknown signals with possibly known structure. The results are especially useful for passive radar where direct path and…

Signal Processing · Electrical Eng. & Systems 2018-05-07 Yicheng Chen , Rick S. Blum

In this paper, we extend our method [1] for FMCW radar mutual interference mitigation (IM) based on the discrete fractional Fourier transform (DFrFT). Firstly, we propose a radar signal processing chain including our DFrFT-based IM for…

Signal Processing · Electrical Eng. & Systems 2026-05-01 Christian Oswald , Josef Kulmer , Franz Pernkopf

Synthetic Aperture Radar (SAR) plays a vital role in remote sensing due to its ability to capture high-resolution images regardless of weather conditions or daylight. However, to transform the raw SAR signals into interpretable imagery,…

Quantum Physics · Physics 2026-05-07 Khalil Al Salahat , Mohamad El Moussawi , Ali J. Ghandour

An accurate delay and Doppler estimation method for a radar system using time and frequency-shifted pulses with pseudo-random numbers is proposed. The ambiguity function of the transmitted signal has a strong peak at the origin and is close…

Information Theory · Computer Science 2023-12-11 Yutaka Jitsumatsu

A Doppler radar is a device that employs the Doppler effect to estimate the radial velocity of a moving target at a distance. Traditional radars are based on a classical description of the electromagnetic radiation, but in principle their…

Quantum Physics · Physics 2024-11-22 Rongyu Wei , Francesco Albarelli , Jun Li , Vittorio Giovannetti

The DOA estimation method of coherent signals based on periodical coding metasurface is proposed. After periodical coding, the DOA information of incident signals in the time domain is represented as the amplitude and phase information at…

Signal Processing · Electrical Eng. & Systems 2023-12-06 Yishuo Zhao , Yan Hu , Yougen Xu

This paper describes a method of calculating the transforms, currently obtained via Fourier and reverse Fourier transforms. The method allows calculating efficiently the transforms of a signal having an arbitrary dimension of the digital…

Numerical Analysis · Mathematics 2025-10-20 Vladimir I Clue

The state-of-the-art automotive radars employ multidimensional discrete Fourier transforms (DFT) in order to estimate various target parameters. The DFT is implemented using the fast Fourier transform (FFT), at sample and computational…

Signal Processing · Electrical Eng. & Systems 2018-01-16 Shaogang Wang , Vishal M. Patel , Athina Petropulu

The ability of a radar to discriminate in both range and Doppler velocity is completely characterized by the ambiguity function (AF) of its transmit waveform. Mathematically, it is obtained by correlating the waveform with its…

Signal Processing · Electrical Eng. & Systems 2024-06-11 Samuel Pinilla , Kumar Vijay Mishra , Brian M. Sadler , Henry Arguello

We investigate robust direction-of-arrival (DoA) estimation for sensor arrays operating in adverse weather conditions, where weather-induced distortions degrade estimation accuracy. Building on a physics-based $S$-matrix model established…

Signal Processing · Electrical Eng. & Systems 2026-01-28 Chenyang Yan , Geert Leus , Mats Bengtsson

This paper presents a new joint radar and communication technique based on the classical stepped frequency radar waveform. The randomization in the waveform, which is achieved by using permutations of the sequence of frequency tones, is…

Information Theory · Computer Science 2021-10-26 Rajitha Senanayake , Peter Smith , Tian Han , Jamie Evans , William Moran , Robin Evans

State-of-the-art automotive radar sensors use a Mutliple-Input Mutiple-Output (MIMO) approach to obtain a better angular resolution. Time-Division Multiplexing (TDM) scheme is commonly applied to realize the orthogonality in time at the…

Signal Processing · Electrical Eng. & Systems 2022-08-08 Qingshan Shen , Qingbo Wang

We describe and exploit a reformulation, based on a recently-introduced change of variables, of the double integral that describes the second-order ocean Doppler spectrum measured by High-Frequency radars. We show that this alternative…

Atmospheric and Oceanic Physics · Physics 2025-03-31 Charles-Antoine Guérin

By multiplexing information symbols in the delay-Doppler (DD) domain, orthogonal time frequency space (OTFS) is a promising candidate for future wireless communication in high-mobility scenarios. In addition to the superior communication…

Signal Processing · Electrical Eng. & Systems 2023-06-21 Kecheng Zhang , Zhongjie Li , Weijie Yuan , Yunlong Cai , Feifei Gao
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