|Computable Lower Bounds for Capacities of Input-Driven Finite-State Channels
|V. Arvind Rameshwar, Navin Kashyap, Indian Institute of Science, India
|S.1: Capacity Computation
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|This paper studies the capacities of input-driven finite-state channels, i.e., channels whose current state is a time-invariant deterministic function of the previous state and the current input. We lower bound the capacity of such a channel using a dynamic programming formulation of a bound on the maximum reverse directed information rate. We show that the dynamic programming-based bounds can be simplified by solving the corresponding Bellman equation explicitly. In particular, we provide analytical lower bounds on the capacities of (d,k)-runlength-limited input-constrained binary symmetric and binary erasure channels.