The Channel Capacity Increases with Power

Abstract

It is proved that for memoryless vector channels, maximizing the mutual information over all source distributions with a certain average power or over the larger set of source distributions with upperbounded average power yields the same channel capacity in both cases. Hence, the channel capacity cannot decrease with increasing average transmitted power, not even for channels with severe nonlinear distortion.

This is the third and last version of "The channel capacity increases with power." Future improvements, including results for multiuser channels, will be presented under the title "On monotonic capacity-cost functions," http://arxiv.org/abs/1209.2820

References in corpus (5)

• Lecture Notes on Network Information Theory
• Capacity of a Nonlinear Optical Channel with Finite Memory
• Calculation of Mutual Information for Partially Coherent Gaussian Channels with Applications to Fiber Optics
• On the BICM Capacity
• On the BICM Capacity

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• Quantum Communication
• On Properties of the Support of Capacity-Achieving Distributions for Additive Noise Channel Models with Input Cost Constraints
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• Calculation of mutual information for nonlinear communication channel at large SNR
• Next-to-leading order corrections to capacity for nondispersive nonlinear optical fiber channel in intermediate power region
• The Asymptotic Capacity of the Optical Fiber
• Rates Achievable on a Fiber-Optical Split-Step Fourier Channel
• Latency and Reliability Trade-off with Computational Complexity Constraints: OS Decoders and Generalizations
• On the Capacity-Achieving Input of the Gaussian Channel with Polar Quantization