Coding for noisy quadratic-Gaussian Wyner-Ziv problem : A successive quantization approach

Wyner-Ziv coding (WZC) is a compression technique which uses decoder side-information to help reconstruction. We present a new coding structure using two-stage successive quantization with two codebooks to solve the Wyner-Ziv problem in the quadratic Gaussian case. The optimal Wyner-Ziv bound is proved to be achievable by random coding analysis. Compared to the existing nested-lattice based design approaches, the two component codes in our construction can be designed independently, which simplifies the code design significantly. Moreover, besides the original noiseless setting where the source is directly observed by the encoder, our coding also suits for the noisy WZC problem where the source is observed via a noisy memoryless channel.