On the Chernoff bound for linear-quadratic receivers

In this paper, we derive the Chernoff bound for linear-quadratic (LQ) receivers and discuss its applications in CDMA fading channels with uncertainty. A detailed derivation of the Chernoff bound is given and the other bounds related to the J-divergence and the Bhattacharyya distance are computed and compared to the Chernoff bound. Simulation results verify that the Chernoff bound is more closely related to the observed bit error probability even on channels for which the additive noise is not strictly Gaussian, simulations also reveal that the Bhattacharyya distance is potentially a good cost function candidate for receiver design and signal selection.