Space–Time Signal Design for Multilevel Polar Coding in Slow Fading Broadcast Channels

Abstract

Slow fading broadcast channels can model a wide range of applications in wireless networks. Due to delay requirements and the unavailability of the channel state information at the transmitter (CSIT), these channels for many applications are non-ergodic. The appropriate measure for designing signals in non-ergodic channels is the outage probability. In this paper, we provide a method to optimize STBCs based on the outage probability at moderate SNRs.Multilevel polar coded-modulation is a new class of coded-modulation techniques that benefits from low complexity decoders and simple rate matching. In this paper, we derive the outage optimality condition for multistage decoding and propose a rule for determining component code rates. We also derive an upper bound on the outage probability of STBCs for designing the set-partitioning-based labelling. Finally, due to the optimality of the outage-minimized STBCs for long codes, we introduce a novel method for the joint optimization of short-to-moderate length polar codes and STBCs.

Deterministic Identification Over Fading Channels

“…We have thus shown that for every λ 1 , λ 2 > 0 and sufficietnly large n, there exists a (2 nR , n, λ 1 , λ 2 ) code. The proof follows by taking the limits n → ∞, and b → 0, hence the rate tends to 1 4 by (26).…”

“…In some applications, the receiver may acquire channel side information (CSI) by instantaneous estimation of the channel parameters [19]- [21]. On the other hand, in the slow fading regime, the latency is short compared to the coherence time [14], and the behaviour is that of a compound channel [22]- [26].…”