Tight Upper Bound on the Bit Error Rate of Convolutional Codes over Correlated Nakagami-m Fading Channels

Seongah JEONG
Jinkyu KANG
Hoojin LEE

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E104-A    No.8    pp.1080-1083
Publication Date: 2021/08/01
Publicized: 2021/02/08
Online ISSN: 1745-1337
DOI: 10.1587/transfun.2020EAL2106
Type of Manuscript: LETTER
Category: Communication Theory and Signals
asymptotic analysis,  convolutional codes,  linear block codes,  bit error rate (BER),  pairwise error event probabilities (PEEP),  Nakagami-m fading channels,  performance analysis,  

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In this letter, we investigate tight analytical and asymptotic upper bounds for bit error rate (BER) of constitutional codes over exponentially correlated Nakagami-m fading channels. Specifically, we derive the BER expression depending on an exact closed-form formula for pairwise error event probabilities (PEEP). Moreover, the corresponding asymptotic analysis in high signal-to-noise ratio (SNR) regime is also explored, which is verified via numerical results. This allows us to have explicit insights on the achievable coding gain and diversity order.

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