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Error rate analysis of M-PSK with magnitude modulation envelope control

Gomes, M. ; Dinis, R. ; Silva, V. ; Cercas, Cercas, F. ; Tomlinson, M.

Electronics Letters Vol. 49, Nº 18, pp. 1184 - 1186, August, 2013.

ISSN (print): 1350-911X
ISSN (online): 0013-5194

Scimago Journal Ranking: 0,54 (in 2013)

Digital Object Identifier: 10.1049/el.2013.2449

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Magnitude modulation (MM) envelope control is an efficient way of
reducing the peak-to-average power ratio (PAPR) of single-carrier
(SC) signals and improves an SC system’s overall power efficiency.
However, MM techniques reduce the PAPR at the cost of introducing
distortion, highlighting a need to characterise the symbol error rate
(SER) performance loss due to MM. This reported work focuses on
the M-PSK case. An exact probability density function (PDF) based
on the generalised extreme value distribution is proposed to model
the statistical distribution of MM factors generated by MM techniques
applied to SC constant amplitude constellations. By considering MM
distortion as a form of fading, it is shown that this PDF may be used
to derive an accurate union bound of the SER of M-PSK transmission
on the additive white Gaussian channel channel when using MM
envelope control.