On Asymptotic Analysis of Zero-Delay Energy-Distortion Tradeoff Under Additive White Gaussian Noise

Asymptotic energy-distortion performance of zerodelay communication scenarios under additive white Gaussian noise is investigated. Using high-resolution analysis for quantizer design, the higher-order term in the logarithm of the distortion (termed the energy-distortion dispersion) is optimized while keeping the leading term (i.e., energy-distortion exponent) at its optimal value. For uniform and Gaussian sources, significant gains are observed compared to naı̈vely performed quantization, i.e., aimed at optimizing the source coding performance instead of the endto-end distortion in joint source-channel coding.