Water-Filling Theorem for Channel Capacity Calculation
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Resource Overview
The water-filling theorem computes channel capacity primarily through the water-filling algorithm, which is highly useful for optimizing power allocation in communication systems
Detailed Documentation
The water-filling theorem is a method for calculating channel capacity, mainly implemented through the water-filling algorithm. This theorem is highly valuable as it helps us better understand channel capacity and signal transmission capabilities. The algorithm operates by distributing power across parallel channels similar to pouring water into a container - more power is allocated to channels with better conditions while maintaining a constant total power constraint. Implementation typically involves sorting channel gains, calculating optimal power levels using Lagrangian multipliers, and iteratively adjusting power distribution until convergence.
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