  This paper studies a bursty interference channel, where the presence/absence
of interference is modeled by a block-i.i.d.\ Bernoulli process that stays
constant for a duration of $T$ symbols (referred to as coherence block) and
then changes independently to a new state. We consider both a quasi-static
setup, where the interference state remains constant during the whole
transmission of the codeword, and an ergodic setup, where a codeword spans
several coherence blocks. For the quasi-static setup, we study the largest rate
of a coding strategy that provides reliable communication at a basic rate and
allows an increased (opportunistic) rate when there is no interference. For the
ergodic setup, we study the largest achievable rate. We study how non-causal
knowledge of the interference state, referred to as channel-state information
(CSI), affects the achievable rates. We derive converse and achievability
bounds for (i) local CSI at the receiver-side only; (ii) local CSI at the
transmitter- and receiver-side, and (iii) global CSI at all nodes. Our bounds
allow us to identify when interference burstiness is beneficial and in which
scenarios global CSI outperforms local CSI. The joint treatment of the
quasi-static and ergodic setup further allows for a thorough comparison of
these two setups.
