The multipaths arrive at the terminal uniformly from all horizontal directions. Figures 4 and 5 show the typical rooms considered, rectangular and circular, respectively. 3 System model FIGURE 4 Rectangular-shaped room layout FIGURE 5 Circular-shaped room layout 10.2.1 Probability density function of received power The PDF of received at the mobile terminal is given by the Nakagami-Rice distribution as rp follows. (19) where is the first kind 0th-order modified Bessel function and represents the following I0(x) K Kfactor. (20) where: (21) Here represents the complex envelop of the direct path and represents the complex eDirect(x) es(x) envelop of multipaths without moving objects around the MT at the position of which depends on x, only the surrounding static environment; their values do not depend on time represents total t. Pm multipath power. is a constant value determined by the room’s shape and dimensions. SShape 10.2.2 Autocorrelation function of received signal level The autocorrelation function of the received complex signal level with time difference is R(t) t given as follows: (22) where: (23)
The multipaths arrive at the terminal uniformly from all horizontal directions. Figures 4 and 5 show the typical rooms considered, rectangular and circular, respectively. 3 System model 4 Rectangular-shaped room layout FIGURE 5 Circular-shaped room layout 10.2.1 Probability density function of received power The PDF of received rp at the mobile terminal is given by the Nakagami-Rice distribution as follows. (19) where I0(x) is the first kind 0th-order modified Bessel function and K represents the following Kfactor. (20) where: (21) Here eDirect(x) represents the complex envelop of the direct path and es(x) represents the complex envelop of multipaths without moving objects around the MT at the position of x, which depends on only the surrounding static environment; their values do not depend on time t. Pm represents total multipath power. SShape is a constant value determined by the room’s shape and dimensions. 10.2.2 Autocorrelation function of received signal level The autocorrelation function R(t) of the received complex signal level with time difference t is given as follows: (22) where: (23) FIGURE
R-REC-P.1238-7-201202-S!!MSW-E.docx