In this paper, we study the joint source-channel coding problem of
transmitting a discrete-time analog source over an AWGN channel with
interference known at transmitter. We consider the case when the source and the
interference may not be uncorrelated. We first derive an outer bound on the
achievable distortion and then, we propose two joint source-channel coding
schemes to make use of the correlation between the source and the interference.
The first scheme is the superposition of the uncoded signal and a digital part
which is the concatenation of a Wyner-Ziv encoder and a dirty paper encoder. In
the second scheme, the digital part is replaced by a hybrid digital and analog
scheme so that the proposed scheme can provide graceful degradation in the
presence of SNR mismatch. We then extend this coding scheme to the generalized
cognitive radio channels and analyze the achievable distortion regions for
several cases.