Envelope and phase distribution of two correlated gaussian variables

IEEE Transactions on Communications

Volumn 57, Issue 4, 2009, Pages 915-921

  Dharmawansa, Prathapasinghe ^a,b   Rajatheva, Nandana ^a   Tellambura, Chinthananda ^c  

^a ASIAN INSTITUTE OF TECHNOLOGY   (Thailand)

^b HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

^c UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Characteristic function (chf); Correlated Gaussian; Frequency shift keying; In phase quadrature imbalance; Probability density function (pdf); Rayleigh density

Indexed keywords

ADDITIVE WHITE GAUSSIAN NOISE CHANNELS; ANALYTICAL EXPRESSIONS; BINARY FREQUENCY SHIFT KEYING; CHARACTERISTIC FUNCTION (CHF); CLOSED-FORM EXPRESSIONS; CORRELATED GAUSSIAN; ERROR PERFORMANCE; GAUSSIAN RANDOM VARIABLES; GAUSSIAN VARIABLES; I/Q IMBALANCES; IN-PHASE/QUADRATURE IMBALANCE; INFINITE SERIES; NON-COHERENT; PERFORMANCE DEGRADATIONS; PHASE DISTRIBUTIONS; RAYLEIGH DENSITY;

BIT ERROR RATE; COMMUNICATION CHANNELS (INFORMATION THEORY); DISTRIBUTION FUNCTIONS; FADING CHANNELS; FREQUENCY SHIFT KEYING; GAUSSIAN NOISE (ELECTRONIC); RANDOM VARIABLES; SIGNAL RECEIVERS; WHITE NOISE; WIRELESS TELECOMMUNICATION SYSTEMS;

PROBABILITY DENSITY FUNCTION;

EID: 65649123840     PISSN: 00906778     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCOMM.2009.04.070065     Document Type: Article

References (20)

1. M. Valkama, M. Renfors, and Koivunen, "Advanced methods for I/Q imbalance compensation in communication receivers," IEEE Trans. Signal Processing, vol. 49, no. 10, pp. 2335-2344, Oct. 2001.
2. X. Huang, "On transmitter gain/phase imbalance compensation at receiver," IEEE Commun. Lett., vol. 4, no. 11, pp. 363-366, Nov. 2000.
3. J. K. Cavers and M. W. Liao, "Adaptive compensation for imbalance and offset losses in direct conversion transceivers," IEEE Trans. Veh. Technol., vol. 42, no. 4, pp. 581-588, Nov. 1993.
4. P. Beckanann, Probability in Communication Engineering. Harcourt, Brace & World, Inc., 1967.
5. R. Pawula, S. Rice, and J. Roberts, "Distribution of the phase angle between two vectors perturbed by gaussian noise," IEEE Trans. Commun., vol. 30, no. 8, pp. 1828-1841, Aug. 1982.
6. M. K. Simon and D. Divsalar, "Some new twists to problems involving the gaussian probability integral," IEEE Trans. Commun., vol. 46, no. 2, pp. 200-210, Feb. 1998.
7. R. F. Pawula, "Distribution of the phase angle between two vectors perturbed by gaussian noise II," IEEE Trans. Veh. Technol., vol. 50, no. 2, pp. 576-583, Mar. 2001.
8. S. Park and S. H. Cho, "SEP performance of coherent MPSK over fading channels in the presence of phase/quadrature error and i-q gain mismatch," IEEE Trans. Commun., vol. 53, no. 7, pp. 1088-1091, July 2005.
9. R K. Vitthaladevuni and M.-S. Alouini, "Effects of imperfect phase and timing synchronization on the bit-error rate performance of PSK modulations," IEEE Trans. Commun., vol. 53, no. 7, pp. 1096-1099, July 2005.
10. G. K. Karagiannidis, D. A. Zogas, and S. A. Kotsopoulos, "On the multivariate Nakagami-m distribution with exponential correlation," IEEE Trans. Commun., vol. 51, no. 8, pp. 1240-1244, Aug. 2003.
11. G. K. Karagiannidis, D. A. Zogas, and S. A. Kotsopoulos, "An efficient approach to multivariate Nakagami-m distribution using Green's matrix approximation," IEEE Trans. Wireless Commun., vol. 2, no. 5, pp. 883-889, Sep. 2003.
12. C. W. Helstrom, "The resolution of signals in white, Gaussian noise," in Proc. IRE, Sept. 1955, pp. 1111-1118.
13. A. Viterbi, "Optimum detection and signal selection for partially coherent binary communication," IEEE Trans. Inform. Theory, vol. 11, pp. 239-246, Apr. 1965.
14. M. Nesenbergs," Optimum reception of coded multiple frequency keying in presence of random variable phases," IEEE Trans. Commun., vol. 19, pp. 707-711, Oct. 1971.
15. G. N. Watson, A Treatise on the Theory of Bessel Functions. Cam-bridge, U.K.: Cambridge Univ. Press, 1944.
16. S Haykin, Digital Communications. John Wiley and Sons, 1988.
17. J. G. Proakis, Digital Communications, 3rd ed. McGraw-Hill, 1995.
18. I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series and Products, 4th ed. New York: Academic Press, 1980.
19. L. C. Andrews, Special Functions of Mathematics for Engineers, 2nd ed. Bellignham, MA: SPIE Press, 1998.
20. K. S. Miller, Multidimensional Gaussian Distributions. John Wiley, 1964.