A Discrete-Time Model for Triply Selective MIMO Rayleigh Fading Channels

Simulation of Doubly-Selective Compound K Fading Channels for Mobile-to-Mobile Communications

“…Computer simulation of independent Rayleigh fading coefficients has been thoroughly studied by the research community in recent years [2], [9]- [11]. In this paper, we adopt the mobile-to-mobile non-isotropic model [10] for the simulation of the Rayleigh fading channel coefficient vectors.…”

“…Note that h(t, τ ) includes the effects of the transmit pulse shaping filter and the receive matched filter [9]. Sampling the linear time-variant channel impulse response with the sampling period T s and truncating the lowpower coefficients yield the discrete-time channel impulse response h(n, l) = h(nT s , lT s ), where n = 0, · · · , N −1 and …”

“…For many practical wireless channels, it is reasonable to assume that the correlation function can be decomposed into the product of the autocorrelation and cross-correlation functions. For n 1 = n 2 and l 1 = l 2 = l, the auto-correlation of G or √ G is commonly assumed to follow exponential decay [2], [9] as…”

“…For n 1 = n 2 and l 1 = l 2 , the cross-correlation between g(n, l 1 ) and g(n, l 2 ) is determined by the power delay profile of the channel and the transmit and receive filters, detailed in (17) of [9].…”

“…In this paper, we propose a new simulator for generating channel impulse response (CIR) of time-varying frequencyselective (so called doubly-selective [8], [9]) compound K channels. It models the discrete-time doubly-selective compound K fading channel by a time-varying channel matrix H(n, l), where n = 1, · · · , N is the time-domain samples, and l = 1, · · · , L is the delay taps.…”