This paper gives statistical analysis of double fading channels which are typically found in keyhole MIMO(multiple input multiple output) models. First, to investigate the potential of identically distributed double Nakagami-Rice MIMO keyhole channels including LOS(line of sight) environment, the density function of SNR(signal to noise ratio) which corresponds to the only one non-zero eigenvalue of channel correlation matrix is presented. In addition to the exact expression with an infinite series form, an approximation formula with a simple monomial form derived by substituting Nakagami m formula for Rician distribution is also considered. Next, similar equations are introduced for double Rayleigh channels which have correlated branches in both the transmitter and receiver sides(independent but nonidentical case is included here). Through computer simulations, the effectiveness of the proposed formulae is verified, and in double Nakagami-Rice fading case, the advantage of the approximated formula particularly for large array size and/or large Rician factor is demonstrated.

In order to evaluate the effect of Nakagami-Rice fading on Orthogonal Frequency Division Multiplex (OFDM) signal transmission when the delay profile exceeds the guard interval, a simple prediction model is developed by extending the Equivalent Transmission-Path (ETP) model for Rayleigh fading. The validity of the model is demonstrated by comparing the calculated values of BER to those obtained by computer simulation. Using the newly developed ETP-OFDM model, digital transmission characteristics of the OFDM signal in a multipath environment when the delay profile exceeds the guard interval are shown as a function of K factor, delay spread, guard interval and OFDM symbol period.

This paper presents an approximation method of statistical distribution of the largest eigenvalue of i.i.d. (independent and identically distributed) MIMO (multiple input multiple output) channel correlation matrices under Nakagami-Rice fading environment. The equation is actually derived for MIMO Nakagami m fading channel which is known as a good approximation of Nakagami-Rice fading, hence it well approximates the curves of the largest eigenvalue distribution of noncentral Wishart matrices. In the proposed approximation method, MIMO MRC (maximal ratio combining) system is ascribed to SIMO space diversity theory with the same number of branches, and the statistical distribution becomes a monomial gamma distribution. As a result, the derived marginal density function does not contain any special functions, and has a simple monomial gamma form which is suitable for various calculations of performance indices. Through computer simulations, it is shown that the proposed approximation formula is effective and has a better precision than conventional method.

A very simple but general scheme has been developed to calculate burst error occurrences due to cycle slip in clock recovery on frequency-selective Nakagami-Rice fading channels. The scheme, which we call the "Equivalent Transmission-Path Model," plays a role in connecting "wave propagation" with "digital transmission characteristics" in a general manner. First computer simulations assuming various types of delay profiles identify the "key parameters in Nakagami-Rice fading" that principally dominate the occurrence of cycle slips. Following this a simple method is developed to calculate the occurrence frequency of cycle slips utilizing the nature of the key parameters. Then, the accuracy of the scheme is confirmed through comparison between calculated values and simulation results. Finally, based on the scheme, calculated results on cycleslip occurrences are presented in line-of-sight fading environments.

For Nakagami-Rice fading environment which seems to become a principle propagation environment in the next generation wideband and high-capacity mobile systems such as personal communications, we have previously proposed an approximated evaluation scheme for wideband digital transmission characteristics such as errors due to intersymbol interference of multipath waves. We called the scheme 'Equivalent Transmission-Path (ETP) Model.' In this paper, through a discussion about more general equivalent propagation channel expressions, we clarify a theoretical foundation of the ETP model and extend the model to have an ability of expression of instantaneous fading condition varying with time. Also the appropriateness of the instantaneous expression is examined by a computer simulation analysis. Based on this model, statistics of link quality and service availability in Nakagami-Rice fading environments are discussed.

A rigorous theoretical method for predicting "ratio of desired signal power to interference power [c/i]" and "ratio of signal power to noise plus interference power [c/(n+i)]" where both desired and interference signals vary with time under the Nakagami-Rice fading conditions is presented. An alternative simple prediction method which is more desirable from the viewpoint of engineering application is then proposed. Prediction errors given by the simple method are evaluated by comparing to the errors given by the rigorous method, and it is confirmed that the simple method gives reasonable accuracy. This method is expected to serve in the development of frequency re-use technologies and the coordination of various systems for mobile satellite communications in the near future.