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The most commonly used cost function is the power cost function which results in average power constraint each sent channel input -tuple : We assume our cost constraint is the above moving forward.
Gaussian Rate Distortion Function
Achievable (Continuous)
Block Codes for the Gaussian Channel
Discrete-Time Memoryless Gaussian Channel (AWGN Channel)
Operational Channel Capacity (Continuous)
Capacity of Correlated Parallel Gaussian Channels
Capacity of Uncorrelated Parallel Gaussian Channels
Capacity with Full-Side Information (FSI)
Gaussian Noise Minimizes Capacity of Additive-Noise Channel
Shannon's Channel Coding Theorem for AWGN
Upper Bound on Channel Capacity