Progressive source coding for a power constrained Gaussian channel

We consider the progressive transmission of a lossy source across a power c onstrained Gaussian channel using binary phase-shift keying modulation. Und er the theoretical assumptions of infinite bandwidth, arbitrarily complex c hannel coding, and lossless transmission, we derive the optimal channel cod e rate and the optimal energy allocation per transmitted bit. Under the pra ctical assumptions of a low complexity class of algebraic channel codes and progressive image coding, we numerically optimize the choice of channel co de rate and the energy, per bit allocation. This model provides an addition al degree of freedom with respect to previously proposed schemes, and can a chieve a higher performance for sources such as images. It also allows one to control bandwidth expansion or reduction.