Simple capacity formulas for correlated SIMO Nakagami channels

The average channel capacity of a SIMO (single-input and multiple-output) wireless system operating on correlated Nakagami fading channels is of theoretical importance to wireless communications; but no simple expression is available in the literature. We tackle this issue using both exact and approximation approaches. The exact formula can serve as a foundation for theoretical comparison. Its approximate counterpart, on the other hand, is simple and easy to use, taking a closed-form expression and producing results nearly identical to the exact formula under most operational conditions. Computer results are presented for illustration.