Robust Matched Filters for Optical Receivers
Abstract
The problem of designing optical receivers that are robust against uncertainty in the statistics of the observation process in photodetection is investigated. A modification in the design of the post-detection matched filter is proposed to account for possible uncertainty in the rate function of the incident light, the rate of the dark current, and the statistics of the additive thermal noise present at the input to the optical receiver. This design is based on a game-theoretic approach in which a filter is sought that has the maximum worst-case output signal-to-noise ratio possible over the class of allowable statistics. That is, the design criterion is maximin signal-to-ratio. A general characterization of maximin robust matched filters for observed Poisson processes is presented in this context, and specific solutions for several useful uncertainty models are obtained. Section 2 describes the system model that is considered throughout the paper, introduces the necessary preliminaries and notation, and formulates the problems of signal-to-noise ratio maximization and design of matched filters for discontinuous observations with known signal and dark current rates and thermal noise autocorrelation. Section 3 formulates the robust optical matched filter design problem and characterizes its solutions for general uncertainty in the statistics of the incident light and the dark current/thermal noise processes. Section 4 presents solutions for the robust optical matched filter in the presence of uncertainty in the statistics of the incident light and noise when the uncertainty is described by several general types of uncertainty classes. To illustrate these results, Section 5 carries out the robust optical matched filter design for three special cases of the general uncertainty models of Section 4: an E-contamination model, a band model, and a mean-absolute-distortion model. Section V present some numerical results to illustrate the effectiveness of this approach.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1987
- Accession Number
- ADA452265
Entities
People
- Evaggelos A. Geraniotis
- H. V. Poor
Organizations
- University of Maryland