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# SIC Error Towards the Packet Error Rate: Optimal Partitioning in OTFS-NOMA Systems

preprint
posted on 2022-06-17, 21:10 authored by

\textit{A system including a lamp and a door, each of which has two possible states $1$ or $0$, i.e., ''on/open'' and ''off/closed'': the states of the door and the lamp are independent of each other and the total Markov chain is the one with memory of variable length with the context-tree $(\tau, \mathscr{p})$ with regard to the transition probability $\mathscr{p}$ and $\tau\stackrel{def}{=}\{1, 10, 100, \cdots\}\cup \{ 0^{\infty} \}$. Now, consider the lamp and the total system as the successive interference cancellation (SIC) error $-$ due to the imperfect SIC $-$ and the total packet error rate, respectively. How can we optimally determine the aforementioned variable length and adjust its variability in practice?} This paper technically explores orthogonal time-frequency-space (OTFS) modulation assisted non-orthogonal multiple access (NOMA) systems and the packet error rate mainly arising from the SIC imperfectness from an information-theoretic point of view. With a given prior distribution, we aim at marginalising over $\mathscr{SUFF}$ on all models $\mathscr{SUFF}$ of maximal depth $\mathscr{D}$ where according to the nature of the OTFS-NOMA principle, $\Big(\mathscr{SUFF}, \mathscr{D} \Big)=f\Big(\mathcal{T} (sec), \Delta f (Hz), \mathcal{N}^{(sample)}, \mathcal{M}^{(sample)}\Big)$ holds as a function of the OTFS-NOMA pair $\Big(\mathcal{N}^{(sample)}, \mathcal{M}^{(sample)}\Big)$. We theoretically make a solution to two scenarios of the availability and unavailability of the casual state-information (CSI) at the encoder, as well as an interpretation over e.g. enegy-level.

## Email Address of Submitting Author

makan.zamanipour.2015@ieee.org

## ORCID of Submitting Author

0000-0003-1606-9347

Lahijan

• Iran

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