18 In the above equation, P i is the power allocated to the i th channel and λ is a scaling factor. When we differentiate the information capacity with respect to P i , we get P i = υ – N i where N i is the noise level on i th channel. Also, υ is the ‘water level’ that satisfies . Now, the algorithm for the single-user water-filling technique can be written as follows: Start ! = + P total " P temp N P temp = ( " N i ) + # If P total ! P temp " tolerance _ level End If
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