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 |
| Total average power of the relay in each block of |
| 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 |
|
|
| Data vector sent by the source when the relay is listening. The dimension is |
|
|
|
|
|
|
| Noise vector at the destination in the interval when the relay is listening. The dimension is |
|
|
| Noise vector at the relay. The dimension is |
|
|
| Received vector at the destination in the interval when the relay is listening. The dimension is |
|
|
| Received vector at the relay. The dimension is |
symbols
symbols
-dimensional data vector sent by the source in the noncooperative transmission mode
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
for AF and repetition DF, and 
for parallel DF
-dimensional noise vector at the destination in the interval when the relay is transmitting
for AF and repetition DF, and 
for parallel DF
-dimensional received vector at the destination in the noncooperative transmission mode
for AF and repetition DF, and 
for parallel DF
-dimensional received vector at the destination in the interval when the relay is transmitting
for AF and repetition DF, and 
for parallel DF