— In this paper, we introduce an adaptive Lp–norm metric for robust coherent diversity combining in non–Gaussian noise and interference. We derive a general closed–form expression for the asymptotic bit error rate (BER) for Lp–norm combining in independent non–identically distributed Ricean fading and non–Gaussian noise and interference with finite moments. Based on this asymptotic BER expression, the metric parameters can be adapted to the underlying type of noise and interference using a finite difference stochastic approximation (FDSA) algorithm. Simulation results confirm the validity of the derived asymptotic BER expression and the excellent performance of the proposed adaptive Lp–norm metric.