Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Compressive sensing of sparse radio frequency signals using optical mixing

Not Accessible

Your library or personal account may give you access

Abstract

We demonstrate an optical mixing system for measuring properties of sparse radio frequency (RF) signals using compressive sensing (CS). Two types of sparse RF signals are investigated: (1) a signal that consists of a few 0.4 ns pulses in a 26.8 ns window and (2) a signal that consists of a few sinusoids at different frequencies. The RF is modulated onto the intensity of a repetitively pulsed, wavelength-chirped optical field, and time-wavelength-space mapping is used to map the optical field onto a 118-pixel, one-dimensional spatial light modulator (SLM). The SLM pixels are programmed with a pseudo-random bit sequence (PRBS) to form one row of the CS measurement matrix, and the optical throughput is integrated with a photodiode to obtain one value of the CS measurement vector. Then the PRBS is changed to form the second row of the mixing matrix and a second value of the measurement vector is obtained. This process is performed 118 times so that we can vary the dimensions of the CS measurement matrix from 1×118 to 118×118 (square). We use the penalized 1 norm method with stopping parameter λ (also called basis pursuit denoising) to recover pulsed or sinusoidal RF signals as a function of the small dimension of the measurement matrix and stopping parameter. For a square matrix, we also find that penalized 1 norm recovery performs better than conventional recovery using matrix inversion.

© 2012 Optical Society of America

Full Article  |  PDF Article
More Like This
High-speed ultrawideband photonically enabled compressed sensing of sparse radio frequency signals

Bryan T. Bosworth and Mark A. Foster
Opt. Lett. 38(22) 4892-4895 (2013)

Photonic compressive sensing of sparse radio frequency signals with a single dual-electrode Mach–Zehnder modulator

Bo Yang, Shuna Yang, Zizheng Cao, Jun Ou, Yanrong Zhai, and Hao Chi
Opt. Lett. 45(20) 5708-5711 (2020)

Ultrawideband compressed sensing of arbitrary multi-tone sparse radio frequencies using spectrally encoded ultrafast laser pulses

Bryan T. Bosworth, Jasper R. Stroud, Dung N. Tran, Trac D. Tran, Sang Chin, and Mark A. Foster
Opt. Lett. 40(13) 3045-3048 (2015)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (5)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (2)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved