Results for Infinite Integrals Involving Higher-Order Powers of the Gaussian Q-Function with Application to Average SEP Analysis of DE-QPSK Academic Article

abstract

• Exact results are presented for infinite integrals that consist of higher-order powers of the one dimensional Gaussian Q-function averaged over Rayleigh fading envelopes in multi-branch diversity reception with maximal ratio combining (MRC). Some known results for the average of the 1st and 2nd powers are shown as special cases. The results obtained in this paper are utilized to study the average symbol error probability (SEP) performance of differentially encoded quadri-phase shift-keying (DE-QPSK) in Rayleigh fading channels employing MRC, and new exact expressions are presented for different fading scenarios. The derived mathematical expressions are verified using Monte Carlo simulations.

authors

• Radaydeh, Redha

published proceedings

• IEEE Transactions on Wireless Communications

author list (cited authors)

• Radaydeh, R. M., & Matalgah, M. M.

citation count

• 6

complete list of authors

• Radaydeh, RM||Matalgah, MM

publication date

• January 2008

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• IEEE Transactions on Wireless Communications  Journal

keywords

• 1d Gaussian Q-function
• Average Sep Analysis
• Average Symbol Error Probability
• De-qpsk
• Differential Encoding
• Diversity Reception
• Error Analysis
• Error Correction Codes
• Error Probability
• Error Statistics
• Fading
• Gaussian Channels
• Higher-order Powers
• Infinite Integrals
• Maximal Ratio Combining
• Monte Carlo Methods
• Monte Carlo Simulations
• Multibranch Diversity Reception
• Performance Analysis
• Quadrature Amplitude Modulation
• Quadrature Phase Shift Keying
• Quadri-phase Shift-keying
• Rayleigh Channels
• Statistics
• Wireless Communication

Digital Object Identifier (DOI)

• 10.1109/twc.2008.060670

start page

• 793

end page

• 798

volume

• 7

issue

• 3

URL

• http://dx.doi.org/10.1109/twc.2008.060670