Пропускная способность и информационная емкость ресурса: пространство, частота, время

Abstract

Studies of the bandwidth of the resource: space, frequency, time during spatial multiplexing in information transmission, storage and processing systems have been carried out. Bandwidth estimation is relevant in the development of communication systems with spatial multiplexing, as well as in problems of information theory. Limitations in spatial multiplexing are investigated. Theorems for estimating the amount of information passing through a given linear and flat area of space at certain values of the time interval and frequency band are formulated and proved. A theorem for estimating the amount of information passing through a rectangular parallelepiped due to three beams of electromagnetic radiation through three mutually perpendicular faces of a rectangular parallelepiped is formulated and proved. As an example, the amount of information contained in one cubic meter of space filled with electromagnetic radiation of a certain type is estimated. Thus, for frequencies in the range from 3 •108 Hz to 6•1019 Hz, one cubic meter of space contains 3,207•1034 bits of information, which is equivalent to the amount of information contained due to quantum states in a substance weighing 1,444 g at 20 °C. Practical significance: the research results can be useful for the development of information theory and the practice of developing communication systems with spatial multiplexing.