Shannon-Kotel'nikov mappings in joint source-channel coding
IEEE Transactions on Communications
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We compute the noise components in 1:N dimension expanding (error protection) and M:1 dimension reducing (lossy compression) systems for memoryless Gaussian sources transmitted over AWGN channels. The theory for expanding systems was developed in [1]. Based on these ideas we develop a theory also for dimension reducing systems. Source- and channel coders are thus combined into one nonlinear operation. Parametric curves are used to map the source onto the channel. For both systems we have two types of distortion.