Recent radio channel measurements in peer-to-peer (P2P) and mobile-to-mobile network indicate that, depending on the mobility of the terminals and scattering properties of the environment, the predominate fading mechanism contains a combination of Rayleigh and double Rayleigh fading with or without line-of-sight (LoS) component. In this paper, we present the statistical and deterministic models by the sum-of-complex-sinusoids to simulate the channels in isotropic and non-isotropic scattering. The auto- and cross correlations of the in-phase, quadrature components, and squared envelopes of the channels are derived. Extensive Monte Carlo simulations are performed to validate the statistical properties of the proposed models. The time-average statistical properties and the corresponding variances are also investigated to justify that the models achieve satisfactory convergence performance.