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Envelope and phase distribution of two correlated gaussian variables.
| Content Provider | CiteSeerX |
|---|---|
| Author | Dharmawansa, Prathapasinghe Rajatheva, Ana Tellambura, A. |
| Abstract | Abstract—Probability density functions (pdf’s) are derived for the phase and amplitude (envelope) of the complex gain X+ jY (j = √−1), where X and Y are two correlated non zero-mean Gaussian random variables. The pdf of the amplitude is derived as an infinite series, but reduces to a closed-form expression when the means are zero. The classical Rayleigh and Rician pdf’s turn out to be special cases of the derived pdf. This pdf is used to analyze the error performance of non-coherent binary frequency shift keying (BFSK) with in-phase/quadrature(I/Q) imbalance over an additive white Gaussian noise (AWGN) channel. The resulting bit error rate (BER) expression is derived as an infinite series. The analytical expressions are validated by simulation, and the I/Q imbalance related performance degradation is quantified. Convergence of the PDF series and the BER series is established. Index Terms—Characteristic function (chf), correlated Gaus-sian, frequency shift keying, in-phase/quadrature imbalance, probability density function (pdf), Rayleigh density. |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Phase Distribution Correlated Gaussian Variable Infinite Series Bit Error Rate In-phase Quadrature Derived Pdf Special Case Abstract Probability Density Function Zero-mean Gaussian Random Variable Index Term Characteristic Function Probability Density Function Error Performance Rician Pdf Frequency Shift Keying In-phase Quadrature Imbalance Complex Gain Jy Closed-form Expression Pdf Series Performance Degradation Classical Rayleigh Ber Series Analytical Expression Non-coherent Binary Frequency Shift Keying Additive White Gaussian Noise Rayleigh Density |
| Content Type | Text |
