Abstract
A methodology has been proposed for estimating the nonlinear effects in radio tracts of receiving and transmitting devices in radio-electronic means of mobile communication systems, based on using the nonlinear transfer functions of the higher-order Volterra series. A procedure has been devised for obtaining the output responses from a nonlinear non-inertia circuit under the harmonious input action using a method for determining the transfer functions of higher orders obtained on the basis of the transfer functions of lower orders. We have derived the analytical expressions for the output responses from a nonlinear system of different orders for three inputs for the case of representing a nonlinear system in the form of a nonlinear non-inertia circuit. The values of the transfer functions of higher orders for a nonlinear non-inertia circuit were determined by using a state variable method. This paper demonstrates the derivation of analytical expressions to calculate a harmonic coefficient based on the second and third harmonics using the nonlinear higher-orders transfer functions of a nonlinear non-inertia circuit. It has been shown that the use of the nonlinear transfer functions to the fifth order inclusive allows a more accurate assessment of nonlinear effects in the form of the harmonious and intermodulation distortions in the radio tracts of radio-electronic means of mobile systems. The outlined technique for determining the nonlinear transfer functions is invariant to the topology of a nonlinear electrical circuit, as well as to the quantity and type of nonlinear elements. Existing estimation procedures of electromagnetic compatibility related to the problems of calculating intermodulation interference can be improved by the introduction of the determined magnitudes of influence products. The proposed methodology makes it possible to evaluate the set of nonlinear effects in the problems related to electromagnetic compatibility in the groups of radio-electronic means with the accuracy required by users
Highlights
Over the past decade, as part of the creation of standards for the new generations of mobile telecommunications technologies, their physical interface has undergone significant changes, providing opportunities for the development and rapid distribution of these technologies around the world
By using the Volterra series, we have obtained the analytical expressions for the output responses of the first-third orders for 3 types of harmonic input actions in a nonlinear system
It is noted that representing an output signal from a nonlinear electric circuit in the form of the functional Volterra series has several advantages such as the explicit connection between an input action and response, the invariability relative to the types of the input action
Summary
As part of the creation of standards for the new generations of mobile telecommunications technologies, their physical interface has undergone significant changes, providing opportunities for the development and rapid distribution of these technologies around the world. The electromagnetic situation in mobile communication systems (MCS), which is determined at the input of radio receiver devices of subscriber and base stations, is characterized by the totality of influences along all receiving channels (main, side, and off-band) formed from many sources of radiation [2] The impact of these radiations, which are undesirable signals, they are conflicting but not antagonistic, defines the specificity of EMC tasks. A given task aims to further clarify the parameters of output signals from radio receiving equipment with the typical nonlinearity and take into consideration the effects of interference of nonlinear origin when analyzing the EMC conditions at different MCS objects
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
