tailieunhanh - Vehicular Technologies Increasing Connectivity Part 2

Tham khảo tài liệu 'vehicular technologies increasing connectivity part 2', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Simulation of SISO and MIMO Multipath Fading Channels 21 Considering also in this case independent envelope and phase processes and applying relation 20 we obtain the IQ components target joint PDF r Í 1 p2 A Í bp2 fXY x y On 1 - bcos 28 exp I- 0 1 - b2 x 0 I 0 1 - b2 J 27 nn co s where p ựx2 y2 and 8 tan-1 y x . We applied the proposed method for the generation of 220 pairs of rvs following 27 starting from independent jointly Gaussian rvs with zero mean and variance Ớ2 0 1 b2 2. The target and the simulated joint PDF are plotted in Fig. 4 a and 4 b respectively. a Theory b Simulation Fig. 4. Theoretical a and simulated b IQ components joint PDF for Hoyt fading with b and o 1. In Fig. 5 a and 5 b the simulated envelope and phase PDFs are plotted respectively against the theoretical references. Also in this case the agreement with the theory is very good. 4. The Iman-Conover method Let us consider a nxP matrix Xjn with each column of Xjn containing n uncorrelated arbitrarily distributed realizations of rvs. Simply stated the Iman-Conover method is a procedure to induce a desired correlation between the columns of Xjn by rearranging the samples in each column. Let S be the PxP symmetric positive definite target correlation matrix. By assumption S allows a Cholesky decomposition S CT C 28 where CT is the transpose of some PxP upper triangular matrix C. Let K be a nxP matrix with independent zero-mean and unitary standard deviation columns. Its linear correlation matrix R in K isgivenby Rfm K 1 Kt K I 29 where I is the PxP identity matrix. As suggested by the authors in Iman Conover 1982 the so-called scores matrix K may be constructed as follows let u U1. un T denote the 22 Vehicular Technologies Increasing Connectivity a Envelope PDF b Phase PDF Fig. 5. Simulated Hoyt envelope PDF a and phase PDF b plotted against theory for 220 generated pairs b and Q 1. column vector with elements Ui 0 1 n 1 where 0 1i- is the inverse function of the standard normal .

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