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This paper presents an improved technique for estimating the end-to-end distortion, which includes both quantization error after encoding and random transmission error, after transmission in video communication systems. The proposed technique mainly differs from most existing techniques in that it takes into account filtering operations, e.g. interpolation in subpixel motion compensation, as introduced in advanced video codecs. The distortion estimation for pixels or subpixels under filtering operations requires the computation of the second moment of a weighted sum of random variables. In this paper, the authors prove a proposition for calculating the second moment of a weighted sum of correlated random variables without requiring knowledge of their probability distribution.
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