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An integrated photonic circuit architecture to perform a modified-convolution operation based on the Discrete Fractional Fourier Transform (DFrFT) is introduced. This is accomplished by utilizing two nonuniformly-coupled waveguide lattices…

Optics · Physics 2025-02-25 Kevin Zelaya , Mohammad-Ali Miri

This paper studies two spectrum estimation methods for the case that the samples are obtained at a rate lower than the Nyquist rate. The first method is the correlogram method for undersampled data. The algorithm partitions the spectrum…

Statistics Theory · Mathematics 2013-11-25 Mahdi Shaghaghi , Sergiy A. Vorobyov

We report experimental results of parallel measurement of spectral components of the light. The temporal fluctuations of an optical field mixed with a separate reference are recorded with a high throughput complementary metal oxide…

Optics · Physics 2008-11-26 Michael Atlan , Michel Gross

Two descriptions are introduced and analyzed for a reflectivity estimation and detection scheme that does not involve measurement of photons scattered by the target. One description, provided by the Hamiltonian dynamics of the full…

Quantum Physics · Physics 2024-08-23 T. J. Volkoff

abridged] A method to rapidly estimate the Fourier power spectrum of a point distribution is presented. This method relies on a Taylor expansion of the trigonometric functions. It yields the Fourier modes from a number of FFTs, which is…

Astrophysics · Physics 2009-11-13 Stephane Colombi , Andrew H. Jaffe , Dmitri Novikov , Christophe Pichon

We have developed a digital fast Fourier transform (FFT) spectrometer made of an analog-to-digital converter (ADC) and a field-programmable gate array (FPGA). The base instrument has independent ADC and FPGA modules, which allow us to…

Instrumentation and Methods for Astrophysics · Physics 2017-07-26 Kazumasa Iwai , Yûki Kubo , Hiromitsu Ishibashi , Takahiro Naoi , Kenichi Harada , Kenji Ema , Yoshinori Hayashi , Yuichi Chikahiro

Doppler reflectometry spatial and wavenumber resolution is analyzed within the framework of the linear Born approximation in slab plasma model. Explicit expression for its signal backscattering spectrum is obtained in terms of wavenumber…

Plasma Physics · Physics 2007-05-23 Alexander Surkov , Evgeniy Gusakov

This paper proposes a method for estimating and detecting optical signals in practical photon-counting receivers. There are two important aspects of non-perfect photon-counting receivers, namely, (i) dead time which results in blocking…

Signal Processing · Electrical Eng. & Systems 2024-08-21 Chen Wang , Zhiyong Xu , Jingyuan Wang , Jianhua Li , Weifeng Mou , Huatao Zhu , Jiyong Zhao , Yang Su , Yimin Wang , Ailin Qi

Pulse Doppler radars suffer from range-Doppler ambiguity that translates into a trade-off between maximal unambiguous range and velocity. Several techniques, like the multiple PRFs (MPRF) method, have been proposed to mitigate this problem.…

Signal Processing · Electrical Eng. & Systems 2021-10-01 Xiang Liu , Deborah Cohen , Tianyao Huang , Yimin Liu , Yonina C. Eldar

Autonomous driving highly depends on capable sensors to perceive the environment and to deliver reliable information to the vehicles' control systems. To increase its robustness, a diversified set of sensors is used, including radar…

Signal Processing · Electrical Eng. & Systems 2021-05-04 Alexander Fuchs , Johanna Rock , Mate Toth , Paul Meissner , Franz Pernkopf

In this article, we develop comprehensive frequency domain methods for estimating and inferring the second-order structure of spatial point processes. The main element here is on utilizing the discrete Fourier transform (DFT) of the point…

Methodology · Statistics 2025-01-24 Junho Yang , Yongtao Guan

Neural fields have been broadly investigated as scene representations for the reproduction and novel generation of diverse outdoor scenes, including those autonomous vehicles and robots must handle. While successful approaches for RGB and…

Simulation of radar cross-sections (RCS) of pedestrians at automotive radar frequencies forms a key tool for software verification test beds for advanced driver assistance systems. Two commonly used simulation methods are: the…

Signal Processing · Electrical Eng. & Systems 2021-02-01 Yoshana Deep , Patrick Held , Shobha Sundar Ram , Dagmar Steinhauser , Anshu Gupta , Frank Gruson , Andreas Koch , Anirban Roy

Experimental observation of Doppler-free signals for weak transitions can be greatly facilitated by an estimate for their expected amplitudes. We derive an analytical model which allows the Doppler-free amplitude to be estimated for small…

Optics · Physics 2008-10-16 M. Zeppenfeld , M. Motsch , P. W. H. Pinkse , G. Rempe

A fundamental task in wireless communication is Channel Estimation: Compute the channel parameters a signal undergoes while traveling from a transmitter to a receiver. In the case of delay-Doppler channel, a widely used method is the…

Information Theory · Computer Science 2015-03-20 Alexander Fish , Shamgar Gurevich , Ronny Hadani , Akbar Sayeed , Oded Schwartz

A procedure to calculate the radiation spectrum emitted by an arbitrarily prepared Dirac wave packet is developed. It is based on the Dirac charge current and classical electrodynamic theory. Apart from giving absolute intensity values, it…

Atomic Physics · Physics 2009-11-10 Guido R. Mocken , Christoph H. Keitel

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

Second-order structure functions and power spectral densities are popular tools in the study of statistical properties across scales, particularly for the analysis of turbulent flows. Although intimately related, analyses primarily use one…

Fluid Dynamics · Physics 2026-02-16 Mark A. Bishop , Sean Oughton , Tulasi N. Parashar , Yvette C. Perrott

The use of future communication systems for sensing offers the potential for a number of new applications. In this paper, we show that leveraging user data payloads in multi-node Orthogonal Frequency Division Multiple Access (OFDMA)…

Signal Processing · Electrical Eng. & Systems 2025-03-10 Marc Miranda , Sebastian Semper , Christian Schneider , Reiner Thomä , Giovanni Del Galdo

We propose in this work a radar detection system for orthogonal-frequency division multiplexing (OFDM) transmission. We assume that the transmitting antenna Tx is colocated with a monostatic radar. The latter knows the transmitted signal…

Signal Processing · Electrical Eng. & Systems 2023-02-20 Mamady Delamou , Kawtar Zerhouni , Guevara Noubir , El Mehdi Amhoud
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