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Moment-Based Parameter Estimation for the Γ-Parameterized TWDP Model.

Sensors (Basel, Switzerland)·2022

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An Alternative Statistical Characterization of TWDP Fading Model.

Almir Maric¹, Enio Kaljic¹, Pamela Njemcevic¹

¹Department of Telecommunications, Faculty of Electrical Engineering, University of Sarajevo, Zmaja od Bosne b.b., Kampus Univerziteta, 71000 Sarajevo, Bosnia and Herzegovina.

Sensors (Basel, Switzerland)

|November 27, 2021

Summary

This study introduces a physically justified Two-Wave with Diffuse Power (TWDP) model for 5G and wireless sensor networks. It provides exact mathematical expressions for performance analysis, improving system evaluation in various fading conditions.

Keywords:

ASEP M-ary PSK MGF TWDP fading channel

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Area of Science:

Wireless communication systems
Signal processing
Statistical modeling

Background:

Two-Wave with Diffuse Power (TWDP) is crucial for modeling fading in 5G mmWave and wireless sensor networks.
Existing TWDP statistical characterizations have physical and mathematical limitations, hindering accurate system performance evaluation.

Purpose of the Study:

To propose a physically justified parameterization for the TWDP model.
To derive exact mathematical expressions for TWDP statistical properties (PDF, CDF, MGF).
To enable accurate system performance analysis, particularly for average symbol error probability (ASEP).

Main Methods:

Developed a physically justified TWDP parameterization.
Introduced exact infinite-series expressions for Probability Density Function (PDF) and Cumulative Distribution Function (CDF).
Derived the exact Moment Generating Function (MGF) of the Signal-to-Noise Ratio (SNR) and validated with Monte Carlo simulations.

Main Results:

Established a new, physically consistent TWDP parameterization.
Derived exact, mathematically tractable infinite-series PDF and CDF expressions.
Obtained an exact MGF suitable for performance analysis, leading to an exact ASEP for M-ary PSK, including a simplified asymptotic form for high SNR.

Conclusions:

The proposed TWDP parameterization and derived exact expressions overcome limitations of previous models.
The new framework allows for accurate system performance evaluation across diverse fading scenarios.
The findings are crucial for optimizing wireless communication systems employing the TWDP model.