Broadcasting correlated Gaussian sources with bandwidth expansion

On the Performance of Hybrid Digital-Analog Coding for Broadcasting Correlated Gaussian Sources

“…For bandwidth expansion, we introduce a hybrid Wyner-Ziv (HWZ) scheme, which consists of an analog layer and two layers each consisting of a Wyner-Ziv coder followed by a channel coder. In [50] we showed that our HWZ scheme performs similarly to the adapted Reznic-FederZamir scheme, originally proposed in [20] for broadcasting a common Gaussian source to two users. Numerical examples 1 indicate that there is a gap between the achievable distortion regions and the outer region for both bandwidth mismatch cases and the construction of new schemes that can close or narrow this gap remains an interesting and challenging future direction.…”

“…We propose an HDA scheme, which we refer to as the HWZ scheme, and provide an achievable distortion region. In [50] we also adapt the proposed HDA scheme for broadcasting a common source by Reznic, Feder and Zamir [20] to the problem of broadcasting correlated sources. Numerical examples indicate that both schemes have similar performance.…”

Separate source-channel coding for broadcasting correlated Gaussians

“…In [2], an outer bound to the distortion region is obtained for κ = 1 by assuming full knowledge of S 1 at the second (strong) receiver. In [4], that outer bound is extended to bandwidthmismatched case, in the form of…”

“…In [1], it was proven that analog (uncoded) transmission, the simplest possible scheme, is actually optimal when the signal-to-noise ratio (SNR) is below a threshold for the case of matched source and channel bandwidth. To solve the problem for other cases, various hybrid digital/analog (HDA) schemes have been proposed in [2], [3], [4], and [5]. In fact, the HDA scheme in [5] achieves optimal performance for matched bandwidth whenever pure analog transmission does not, thereby leading to a complete characterization of the achievable power-distortion tradeoff.…”

“…In fact, the HDA scheme in [5] achieves optimal performance for matched bandwidth whenever pure analog transmission does not, thereby leading to a complete characterization of the achievable power-distortion tradeoff. For the bandwidthmismatch case, the HDA schemes proposed in [3] and [4] comprise of different combinations of previous schemes using either superposition or dirty-paper coding.…”