5 papers
A Spherical Stochastic Geometry Framework for Patrol-Based HAPs Network: Coverage and Energy Efficiency Analysis
Mohammad Taha Shah, Mohamed-Slim Alouini
This paper develops a stochastic-geometry framework for high-altitude platform station (HAPs) networks in which platforms execute cyclic patrol trajectories anchored to designated…
Order Optimal Regret Bounds for Sharpe Ratio Optimization under Thompson Sampling
Mohammad Taha Shah, Sabrina Khurshid, Gourab Ghatak
In this paper, we study sequential decision-making for maximizing the Sharpe ratio (SR) in a stochastic multi-armed bandit (MAB) setting. Unlike standard bandit formulations that m…
Modeling and Statistical Characterization of Large-Scale Automotive Radar Networks
Mohammad Taha Shah, Gourab Ghatak, Ankit Kumar +1
The impact of discrete clutter and co-channel interference on the performance of automotive radar networks has been studied using stochastic geometry, in particular, by leveraging…
A Note on Exact State Visit Probabilities in Two-State Markov Chains
Mohammad Taha Shah
In this note we derive the exact probability that a specific state in a two-state Markov chain is visited exactly times after transitions. We provide a closed-form solution…
Fine Grained Analysis and Optimization of Large Scale Automotive Radar Networks
Mohammad Taha Shah, Gourab Ghatak, Shobha Sundar Ram
Advanced driver assistance systems (ADAS) enabled by automotive radars have significantly enhanced vehicle safety and driver experience. However, the extensive use of radars in den…