TY - JOUR
T1 - The Rician Complex Envelope under Line of Sight Shadowing
AU - Browning, Jonathan W.
AU - Cotton, Simon L.
AU - Morales-Jimenez, David
AU - Lopez-Martinez, F. Javier
PY - 2019/12
Y1 - 2019/12
N2 - This paper investigates a Rician complex envelope
which is subject to line-of-sight (LOS) shadowing. In particular,
exact closed-form expressions are obtained for the joint envelopephase distribution, the distribution of the phase, and that of
the quadrature and in-phase signal components. Using the
new formulation for the phase distribution, we find that for
increasing shadowing severity, the phase becomes progressively
more disperse. Interestingly, the phase is shown to be unimodal.
This illustrates that the relationship which is known to exist
between the envelope of Rician fading which undergoes LOS
shadowing and Hoyt fading does not extend to the phase. We
also provide two applications of our new results which investigate
the average bit error probability and the average symbol error
probability for phase-based modulation schemes operating in
LOS shadowed fading channels. The results are shown to provide
excellent agreement with Monte Carlo simulations.
AB - This paper investigates a Rician complex envelope
which is subject to line-of-sight (LOS) shadowing. In particular,
exact closed-form expressions are obtained for the joint envelopephase distribution, the distribution of the phase, and that of
the quadrature and in-phase signal components. Using the
new formulation for the phase distribution, we find that for
increasing shadowing severity, the phase becomes progressively
more disperse. Interestingly, the phase is shown to be unimodal.
This illustrates that the relationship which is known to exist
between the envelope of Rician fading which undergoes LOS
shadowing and Hoyt fading does not extend to the phase. We
also provide two applications of our new results which investigate
the average bit error probability and the average symbol error
probability for phase-based modulation schemes operating in
LOS shadowed fading channels. The results are shown to provide
excellent agreement with Monte Carlo simulations.
UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85076693293&origin=inward&txGid=e093b470349c73ff3c6a69d25e4b54bd
U2 - 10.1109/LCOMM.2019.2939304
DO - 10.1109/LCOMM.2019.2939304
M3 - Article
VL - 23
SP - 2182
EP - 2186
JO - IEEE Communications Letters
JF - IEEE Communications Letters
SN - 1089-7798
IS - 12
ER -