On the Analysis of Energy-Distortion Tradeoff for Zero-Delay Transmission over Gaussian Broadcast Channels

Asymptotic energy-distortion performance of zero-delay communication under Gaussian broadcasting is investigated. The analysis can be motivated by the scenario where the same internet of things (IoT) device is transmitting its measurements to multiple control units that are experiencing varying noise levels. Using high-resolution analysis for quantizer design coupled with orthogonal signaling, the higher-order term in the negative logarithm of the distortion, termed the energy-distortion dispersion, is optimized while keeping the leading term, the energy-distortion exponent, at its optimal value for the zero-delay regime.