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This report contains a tutorial introduction to the method of importance sampling. The use of this method is illustrated for simulations of the noise-induced energy jitter of return-to-zero pulses in optical communication systems.

Optics · Physics 2007-05-23 C. J. McKinstrie , P. J. Winzer

In this paper, motivated by diffraction of traveling light waves, a simple mathematical model is proposed, both for the multivariate super-resolution problem and the problem of blind-source separation of real-valued exponential sums. This…

Numerical Analysis · Mathematics 2017-08-01 Charles K. Chui , Hrushikesh N. Mhaskar

As electronic computing approaches its performance limits, photonic accelerators have emerged as promising alternatives. Photonic accelerators exploiting semiconductor-laser synchronization have been studied for decision-making. While…

Sparse Blind Source Separation (sparse BSS) is a key method to analyze multichannel data in fields ranging from medical imaging to astrophysics. However, since it relies on seeking the solution of a non-convex penalized matrix factorization…

Machine Learning · Computer Science 2018-12-18 Christophe Kervazo , Jerome Bobin , Cecile Chenot

In this paper, we consider the problem of blind signal and image separation using a sparse representation of the images in the wavelet domain. We consider the problem in a Bayesian estimation framework using the fact that the distribution…

Data Analysis, Statistics and Probability · Physics 2009-11-07 Ali Mohammad-Djafari , Mahieddine Ichir

Blind source separation (BSS) techniques aims at joint estimation of source signals and a mixing matrix from observations of mixtures. This paper addresses a doubly nonstationary BSS problem, where the mixing matrix is time dependent and…

Signal Processing · Electrical Eng. & Systems 2019-06-25 Adrien Meynard

Optical pulse shaping stands as a formidable technique in ultrafast optics, radio-frequency photonics, and quantum communications. While existing systems rely on bulk optics or integrated platforms with planar waveguide sections for spatial…

Optical absorption measurements characterize a wide variety of systems from atomic gases to \emph{in-vivo} diagnostics of living organisms. Here we study the potential of non-classical techniques to reduce statistical noise below the…

We propose a novel optical parametric amplification scheme which combines quasi-phase-matching with a composite pulse approach that involves crystal segments of specific lengths. The presented scheme highly increases the robustness of the…

Optical frequency division based on bulk or fiber optics provides unprecedented spectral purity for microwave oscillators. To extend the applications of this approach, the big challenges are to develop miniaturized optical frequency…

Optics · Physics 2024-02-27 Yang He , Long Cheng , Heming Wang , Yu Zhang , Roy Meade , Kerry Vahala , Mian Zhang , Jiang Li

High-bandwidth signals are needed in many applications like radar, sensing, measurement and communications. Especially in optical networks, the sampling rate and analog bandwidth of digital-to-analog converters (DACs) is a bottleneck for…

Signal Processing · Electrical Eng. & Systems 2023-06-09 Mohamed I. Hosni , Janosch Meier , Younus Mandalawi , Karanveer Singh , Paulomi Mandal , Ahmed H. Elghandour , Thomas Schneider

Remote photoplethysmography (rPPG) enables non-contact measurement of cardiac pulse signals by analyzing subtle color changes in facial videos. Nevertheless, extracting rPPG signals remains challenging because of their extremely weak signal…

Image and Video Processing · Electrical Eng. & Systems 2026-05-22 Kosuke Kurihara , Yoshihiro Maeda , Daisuke Sugimura , Takayuki Hamamoto

We introduce a method to suppress unwanted transition channels, even without knowing their couplings, and achieve perfect population transfer in multistate quantum systems by the application of composite pulse sequences. Unwanted transition…

Quantum Physics · Physics 2015-06-11 Genko T. Genov , Nikolay V. Vitanov

Blind methods often separate or identify signals or signal subspaces up to an unknown scaling factor. Sometimes it is necessary to cope with the scaling ambiguity, which can be done through reconstructing signals as they are received by…

Sound · Computer Science 2017-08-02 Zbyněk Koldovský , Francesco Nesta

We reveal that a synthetic photonic lattice based on coupled optical loops can be utilized as a neural network for processing of optical pulse sequences in time domain. As a proof-of-concept, we train the optical system to restore an…

Optics · Physics 2022-02-08 Artem V. Pankov , Ilya D. Vatnik , Andrey A. Sukhorukov

The most realistic information about the transparent sample such as a live cell can be obtained only using bright-field light microscopy. At high-intensity pulsing LED illumination, we captured a primary 12-bit-per-channel (bpc) response…

Image and Video Processing · Electrical Eng. & Systems 2021-08-18 Ganna Platonova , Dalibor Stys , Pavel Soucek , Kirill Lonhus , Jan Valenta , Renata Rychtarikova

Scanning Microwave Impedance Microscopy (MIM) measurement of photoconductivity with 50 nm resolution is demonstrated using a modulated optical source. The use of a modulated source allows for measurement of photoconductivity in a single…

Instrumentation and Detectors · Physics 2018-05-09 Scott R. Johnston , Eric Yue Ma , Zhi-Xun Shen

Spatial-mode demultiplexing (SPADE) has recently been adopted to measure the separation in the transverse plane between two incoherent point-like sources. It has been argued that this approach may yield extraordinary performances in the…

Sonography techniques use multiple transducer elements for tissue visualization. Signals detected at each element are sampled prior to digital beamforming. The sampling rates required to perform high resolution digital beamforming are…

Information Theory · Computer Science 2013-07-25 Tanya Chernyakova , Yonina C. Eldar

In this article, we derive analytically the complex optical spectrum of a pulsed laser source obtained when a frequency comb generated by phase modulation is input into a synchronized intensity modulator. We then show how this knowledge of…

Optics · Physics 2021-04-19 Denis Marion , Jérôme Lhermite