Pulse position modulation achieves the optimal first-order asymptotics for all three metrics, as well as the optimal second-order asymptotics for relative entropy. The main conceptual contribution of ...

The asymptotics for the normalizing coefficient hn,N h n, N, recurrence coefficients Bn,N ℬ n, N and A 2 n,N 𝒜 n, N 2, are also obtained. Our method is based on the Deift–Zhou steepest descent method ...

The proposed kth-order filter is based on sliding modes (SMs). It exactly estimates k input derivatives in the absence of noises, and is robust to noises of small magnitudes or having small average ...