A new probabilistic model for optimal frames in erasure's recovery

TL;DR

This paper introduces a novel probabilistic model utilizing Parseval frames and Bernoulli variables to optimize data transmission erasure recovery, demonstrating improved performance over existing models.

Contribution

The paper presents a new probabilistic framework for optimizing erasure recovery using Parseval frames, with theoretical characterizations and performance improvements.

Findings

Better erasure recovery performance compared to existing models

Characterization of optimal Parseval frames within the new model

Theoretical results establishing the model's effectiveness

Abstract

In this paper we introduce a new probabilistic model for optimizing erasures occurring in data transmission using Parseval frames and a sequence of Bernoulli random variables associated to the channels of the transmission. We establish several results characterizing the optimal Parseval frames for our model. We show also that compared to existing models \cite{holmes2004optimal,casazza2003equal,leng2013probability,li2018frame}, our model gives better performance.