Title :
Distribution of Inner Product of Two Complex Gaussian Vectors and its Application to MPSK Performance
Author :
Mallik, Ranjan K.
Author_Institution :
Dept. of Electr. Eng. Indian Inst. of Technol., Indian Inst. of Technol., New Delhi
Abstract :
Consider two independent complex Gaussian vectors having arbitrary mean vectors and covariance matrices which are scaled versions of the identity matrix. The joint characteristic function (c.f.) of the real and imaginary parts of the inner product of these two vectors is derived in closed form. This joint c.f. is applied to the analysis of the symbol error probability (ESP) of a multibranch diversity reception system in flat Rayleigh fading using M-ary phase-shift keying (MPSK). The receiver employs maximal- ratio combining with least squares channel estimation by means of pilot symbols. Closed form expressions of the SEP are obtained for the cases of binary phase-shift keying, MPSK with high signal- to-noise ratio approximation, and MPSK with independent and identically distributed fading.
Keywords :
Gaussian channels; Rayleigh channels; channel estimation; covariance matrices; diversity reception; error statistics; least squares approximations; phase shift keying; Gaussian vector; M-ary phase-shift keying; MPSK; Rayleigh fading; covariance matrices; diversity reception system; least square channel estimation; symbol error probability; Channel estimation; Covariance matrix; Degradation; Diversity reception; Error probability; Fading; Least squares approximation; Phase shift keying; Rayleigh channels; Signal to noise ratio;
Conference_Titel :
Communications, 2008. ICC '08. IEEE International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-2075-9
Electronic_ISBN :
978-1-4244-2075-9
DOI :
10.1109/ICC.2008.866
