Matrix Exponential Distribution Method Applied to Multi-RIS Aided Systems Evaluation

Danilo B. T. Almeida

doi:10.1109/LWC.2026.3659812

Matrix Exponential Distribution Method Applied to Multi-RIS Aided Systems Evaluation

2026-01-29

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Wamberto J. L. Queiroz

DOI：10.1109/LWC.2026.3659812

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The sum of random variables arises as a challenge in several wireless communications problems, particularly those characterized by the Fox H distribution. In this letter, we derive the moment generating function (MGF) of the sum of independent and non identically distributed (INID) Fox H random variables and apply the matrix exponential distribution method (MEDM) to obtain the probability distribution of this sum and to derive performance metrics such as outage probability (OP), average symbol error probability (ASEP) and normalized ergodic capacity (EC) in a wireless communication system assisted by multiple reconfigurable intelligent surfaces (RISs).

Keywords:

Matrix exponential distribution method

Fox H distribution fading

multi-RIS aided system

Matrix Exponential Distribution Method Applied to Multi-RIS Aided Systems Evaluation

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