Institute for Telecommunication Sciences
the research laboratory of the National Telecommunications and Information Administration

S. Voran

Abstract: When objectively estimating speech, audio, or video quality, it is often necessary to compensate for a system gain or to "gain match" two or more signals. One can take three views of a system, leading to three different definitions of gain, and three different gain compensation solutions: one that minimizes distortion, one that matches input–output power, and one that maximizes signal–todistortion ratio. We derive these three solutions, describe the algebraic and geometric relationships between them, and provide a generalized result that subsumes all three. We provide examples showing that these three solutions do differ in practical quality estimation situations. We also report some of the gain compensation choices found in the quality estimation literature.

Keywords: video quality; audio quality; speech quality; gain compensation; distortion minimization; gain matching; input-output power matching; objective quality estimation algorithms; signal-to-distortion ratio maximization

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Lilli Segre, Publications Officer
Institute for Telecommunication Sciences
(303) 497-3572

For technical information concerning this report, contact:

Stephen D. Voran
Institute for Telecommunication Sciences
(303) 497-3839

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