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Table 1 List of notations.

From: Achievable Rates and Resource Allocation Strategies for Imperfectly Known Fading Relay Channels

Source-destination channel fading coefficient
Relay-destination channel fading coefficient
Relay-destination channel fading coefficient
Estimate of the fading coefficient
Error in the estimate of the fading coefficient
Variance of random variables
Variance of Gaussian random variables due to thermal noise
Number of symbols in each block
Total average power of the source in each block of symbols
Total average power of the relay in each block of symbols
Fraction of total power allocated to training by the source
Fraction of total power allocated to training by the relay
Pilot symbol sent by the source
Pilot symbol sent by the relay
Additive Gaussian noise at the destination in the interval in which the source pilot symbol is sent
Additive Gaussian noise at the relay in the interval in which the source pilot symbol is sent
Additive Gaussian noise at the destination in the interval in which the relay pilot symbol is sent
Received signal at the destination in the interval in which the source pilot symbol is sent
Received signal at the relay in the interval in which the source pilot symbol is sent
Received signal at the destination in the interval in which the relay pilot symbol is sent
Power of each source symbol sent in the interval in which the relay is not transmitting
Power of each source symbol sent in the interval in which the relay is transmitting
Power of each relay symbol
Fraction of time/bandwidth allocated to the relay
-dimensional data vector sent by the source in the noncooperative transmission mode
Data vector sent by the source when the relay is listening. The dimension is for AF and repetition DF, and for parallel DF
-dimensional data vector sent by the source when the relay is transmitting
-dimensional data vector sent by the relay
-dimensional noise vector at the destination in the noncooperative transmission mode
Noise vector at the destination in the interval when the relay is listening. The dimension is for AF and repetition DF, and for parallel DF
-dimensional noise vector at the destination in the interval when the relay is transmitting
Noise vector at the relay. The dimension is for AF and repetition DF, and for parallel DF
-dimensional received vector at the destination in the noncooperative transmission mode
Received vector at the destination in the interval when the relay is listening. The dimension is for AF and repetition DF, and for parallel DF
-dimensional received vector at the destination in the interval when the relay is transmitting
Received vector at the relay. The dimension is for AF and repetition DF, and for parallel DF