Second order statistics of SC receiver over k-μ multipath fading channel

In this paper wireless communication system with dual branch selection combining (SC) diversity receiver operating over k-? multipath fading environment is considered. Closed form expressions for average level crossing rate of SC receiver output signal envelope and average fade duration of proposed system are evaluated. Numerical results are presented graphically to show the influence of Rican factor k and fading severity ? on average level crossing rate and average fade duration.

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New Results and Applications about the Level Crossing Rate of SC Receiver output Signal in the Presence of Gamma Shadowing and k-μ or Rician Multipath Fading

WSEAS TRANSACTIONS ON CIRCUITS AND SYSTEMS ◽

10.37394/23201.2021.20.15 ◽

2021 ◽

Vol 20 ◽

pp. 118-127

Author(s):

DRAGANA KRSTIĆ ◽

SUAD SULJOVIĆ ◽

MIHAJLO STEFANOVIĆ ◽

MUNEER MASADEH BANI YASSEIN ◽

DANIJELA ALEKSIĆ

Keyword(s):

Output Signal ◽

Joint Probability ◽

Multipath Fading ◽

Average Level ◽

Rician Fading ◽

Level Crossing ◽

Multipath Fading Channel ◽

Signal Envelope ◽

Level Crossing Rate ◽

Severity Parameter

In this paper,the wireless communication system with dual SC receiver operating over shadowed multipath fading channel is considered. The multipath fadingis k-μor Rician.The received signal experiences the short term fading which is resulting in SC receiver envelope variation and Gamma long term fading resulting in SC receiver envelope power variation. The closed form expressions for joint probability density functions of SC receiver output signal envelope and their first derivative of SC receiver output signal envelope are calculated for both, k-μand Rician fading. These expressions are used for evaluation of average level crossing rate of SC receiver output signal envelopes. The numerical expressions are plotted to show the effect of Rician fading severity parameter and Gamma shadowing severity parameter on the average level crossing rate of SC receiver output signal envelope.

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LEVEL CROSSING RATE OF MACRODIVERSITY OUTPUT PROCESS IN THE PRESENCE OF η-μ SHORT TERM FADING AND GAMMA LONG TERM FADING

Facta Universitatis Series Automatic Control and Robotics ◽

10.22190/fuacr1702157m ◽

2017 ◽

Vol 16 (2) ◽

pp. 157

Author(s):

Srđan Milosavljević ◽

Dejan Milić ◽

Slaviša Trajković ◽

Petar Spalević ◽

Bojana Milosavljević

Keyword(s):

Multipath Fading ◽

Selection Combining ◽

Output Process ◽

Level Crossing ◽

Short Term ◽

Signal Process ◽

Multipath Fading Channel ◽

Level Crossing Rate ◽

Severity Parameter

In this paper macrodiversity reception with macrodiversity selection combining (SC) receiver and two microdiversity MRC receivers operating over shadowed multipath fading channel is studied. Received signal experiences short term fading and correlated Gamma long term fading resulting in system performance degradation. Level crossing rate (LCR) of η-μ random process and level crossing rate of signals at outputs of microdiversity MRC receivers are efficiently calculated. By using these derived formulas, level crossing rate of macrodiversity SC receiver output signal process is calculated. By using this result, average fade duration (AFD) of the proposed wireless communication system can be calculated. The influence of η-μ short term fading severity parameter, Gamma long term fading severity parameter and Gamma long term correlation coefficient on level crossing rate is analysed and studied.

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