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This paper presents a model for a land mobileRayleigh fading and frequency-nonselective channel, based on the manipulation of a white Gaussian random process. A random process with a specified second order statistics is generated. The pdf of the process is verified using the histogram procedure. The spectral power density function of the process is assured by spectral shaping filters. The goal of the analog channel modeling is the use of the computer model for predicting the performances of various modulation schemes and soft decision decoding algorithms.