This work is devoted to the theoretical investigation of the multiplication processes in a channel of microchannel plate (MCP). Different experimental modes, time, space, energy and other characteristics of the output signal can be investigated by means of analytical technique of generating functionals and computer simulation. In the analytical model of MCP channel, we assume that every electron in a channel is characterized by the vector coordinate of birth with the set of components: space, time, energy, etc. If generating functional of the electrons, emitted by the incident radiation, and generating functional of the secondary electrons, emitted by a primary electron, interacting with the channel surface, are known, generating functional of the output signal can be obtained. It provides all statistical characteristics of the output electron flow. Computer simulation lets us investigate different, sometimes unusual, schemes of the single electron impulse formation, which can result in the definite improvements of functional abilities of the MCP. The channel with the resistance changing along the channel surface was considered. It was established that such channel provides not only the smaller recovery time, but also has the peaked pulse-height distribution.