An efficient, approximate path-following algorithm for elastic net based nonlinear spike enhancement

Little, Max A. (2014). An efficient, approximate path-following algorithm for elastic net based nonlinear spike enhancement. IN: 2014 Proceedings of the 22nd European Signal Processing Conference (EUSIPCO). IEEE.

Abstract

Unwanted spike noise in a digital signal is a common problem in digital filtering. However, sometimes the spikes are wanted and other, superimposed, signals are unwanted, and linear, time invariant (LTI) filtering is ineffective because the spikes are wideband - overlapping with independent noise in the frequency domain. So, no LTI filter can separate them, necessitating nonlinear filtering. However, there are applications in which the noise includes drift or smooth signals for which LTI filters are ideal. We describe a nonlinear filter formulated as the solution to an elastic net regularization problem, which attenuates band-limited signals and independent noise, while enhancing superimposed spikes. Making use of known analytic solutions a novel, approximate path-following algorithm is given that provides a good, filtered output with reduced computational effort by comparison to standard convex optimization methods. Accurate performance is shown on real, noisy electrophysiological recordings of neural spikes.

Divisions: Engineering & Applied Sciences > Mathematics
Engineering & Applied Sciences > Systems analytics research institute (SARI)
Additional Information: © 2014 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. Funding: Wellcome Trust (Grant WT090651MF)
Event Title: 22nd European Signal Processing Conference
Event Type: Other
Event Dates: 2014-09-01 - 2014-09-05
Uncontrolled Keywords: filter,noise,nonlinear,regularization,spike,Signal Processing,Electrical and Electronic Engineering
Full Text Link: http://ieeexplo ... rnumber=6952508
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
Published Date: 2014
Authors: Little, Max A. ( 0000-0002-1507-3822)

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Version: Accepted Version


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