General BER Expression for One-Dimensional Constellations
Mikhail Ivanov, Fredrik Br\"annstr\"om, Alex Alvarado, and Erik Agrell
TL;DR
This paper introduces a comprehensive and practical BER expression for one-dimensional constellations, enabling accurate performance analysis across various bit patterns and labelings in digital communication systems.
Contribution
It presents a new general BER formula applicable to one-dimensional constellations, considering different bit patterns and labelings, which was not previously available.
Findings
The BER expression is valid for various bit patterns and labelings.
The analysis covers equally spaced M-PAM constellations.
The formula simplifies performance evaluation in digital communication systems.
Abstract
A novel general ready-to-use bit-error rate (BER) expression for one-dimensional constellations is developed. The BER analysis is performed for bit patterns that form a labeling. The number of patterns for equally spaced M-PAM constellations with different BER is analyzed.
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