Abstract
To reduce the level of intersymbol interference and interchannel interference, it is proposed to form the transmitted signals using the basis functions obtained by shifting the impulse responses of linear systems by multiple time intervals. An algorithm for calculating the weight of the orthogonality of basis functions is proposed. A criterion for the existence of the indicated weight of orthogonality is formulated.
Highlights
A feature of modern digital information transmission systems (ITS) is that the levels of intersymbol interference (ISI) and inter-channel interference (ICI) exceed the noise level in the communication channel
In [1], it is shown that the solution to the problem of simultaneously reducing the ISI and ICI levels, and, increasing the noise immunity and efficiency of the ITS, is associated with the development of new methods for describing signals
Equidistant signals obtained by shifting the pulse characteristics of a linear system approximating a communication channel by multiple time intervals have a similar property.In the monograph [1], a method of orthogonalization of functions based on determining the weight of orthogonality is proposed
Summary
A feature of modern digital information transmission systems (ITS) is that the levels of intersymbol interference (ISI) and inter-channel interference (ICI) exceed the noise level in the communication channel. Equidistant signals obtained by shifting the pulse characteristics of a linear system approximating a communication channel by multiple time intervals have a similar property.In the monograph [1], a method of orthogonalization of functions based on determining the weight of orthogonality is proposed. Since the weight of orthogonality in the general case is an infinite number of known linearly independent functions, to reduce the computational cost, you can limit the error in calculating the weight coefficients to a value that is sufficient for practice.
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