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Open AccessJournal ArticleDOI

Anamorphic transformation and its application to time-bandwidth compression

TLDR
A general method for compressing the modulation time-bandwidth product of analog signals is introduced, inspired by operation of Fovea centralis in the human eye and by anamorphic transformation in visual arts, to alleviate the storage and transmission bottlenecks associated with "big data".
Abstract
A general method for compressing the modulation time-bandwidth product of analog signals is introduced and experimentally demonstrated. As one of its applications, this physics-based signal grooming performs feature-selective stretch, enabling a conventional digitizer to capture fast temporal features that were beyond its bandwidth. At the same time, the total digital data size is reduced. The compression is lossless and is achieved through a same-domain transformation of the signal's complex field, performed in the analog domain prior to digitization. Our method is inspired by operation of Fovea centralis in the human eye and by anamorphic transformation in visual arts. The proposed transform can also be performed in the digital domain as a digital data compression algorithm to alleviate the storage and transmission bottlenecks associated with "big data".

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Citations
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Journal ArticleDOI

Time stretch and its applications

TL;DR: In this paper, the fundamental principles and applications of this emerging field for continuous phase and amplitude characterization at extremely high repetition rates via time-stretch spectral interferometry are reviewed.
Journal ArticleDOI

High-speed flow microscopy using compressed sensing with ultrafast laser pulses.

TL;DR: An imaging system employing continuous high-rate photonically-enabled compressed sensing (CHiRP-CS) to enable efficient microscopic imaging of rapidly moving objects with only a few percent of the samples traditionally required for Nyquist sampling is demonstrated.
Journal ArticleDOI

Optical data compression in time stretch imaging.

TL;DR: The first experimental demonstration of real-time optical image compression applied to time stretch imaging is reported, exploiting the sparsity of the image to reduce the number of samples and the amount of data generated by the time stretch camera in proof-of-concept experiments.
Journal ArticleDOI

Experimental demonstration of optical real-time data compressiona)

TL;DR: By performing self-adaptive stretch, this technology enables digitizers to capture waveforms beyond their bandwidth with digital data size being reduced at the same time by compression of the time-bandwidth product of analog signals in real-time.
Journal ArticleDOI

Time-stretched sampling of a fast microwave waveform based on the repetitive use of a linearly chirped fiber Bragg grating in a dispersive loop

TL;DR: In this paper, the authors demonstrate a significantly increased stretching factor in the photonic time-stretched sampling of a fast microwave waveform, achieving a record stretching factor of 36 based on an equivalent group delay dispersion coefficient of 12,000 µm/nm.
References
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Book ChapterDOI

I and J

Journal ArticleDOI

An Introduction To Compressive Sampling

TL;DR: The theory of compressive sampling, also known as compressed sensing or CS, is surveyed, a novel sensing/sampling paradigm that goes against the common wisdom in data acquisition.
Book

Fiber-Optic Communication Systems

TL;DR: In this article, the authors present an overview of the main components of WDM lightwave communication systems, including the following: 1.1 Geometrical-Optics Description, 2.2 Wave Propagation, 3.3 Dispersion in Single-Mode Fibers, 4.4 Dispersion-Induced Limitations.
Journal ArticleDOI

Fiber grating spectra

TL;DR: In this paper, the spectral properties of fiber reflection and transmission gratings are described and examples are given to illustrate the wide variety of optical properties that are possible in fiber gratings.
Journal ArticleDOI

Optical rogue waves

TL;DR: This work reports the observation of rogue waves in an optical system, based on a microstructured optical fibre, near the threshold of soliton-fission supercontinuum generation—a noise-sensitive nonlinear process in which extremely broadband radiation is generated from a narrowband input.
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