Compressed sensing based channel shortening filter design method

Abstract

The invention discloses a compressed sensing based channel shortening filter design method. The method includes: firstly, dividing received signals received by a receiving end of a single input single output system into multiple modules; secondly, selecting any one of the modules, computing a cross correlation matrix of the selected module and a module formed by all corresponding symbols in sending signals, and computing an autocorrelation matrix of the selected module; thirdly, according to the acquired cross correlation matrix and autocorrelation matrix as well as set maximum signal-to-noise ratio loss, acquiring an upper bound of mean square error appreciation after the selected module passes a channel shortening filter; finally, determining the channel shortening filter by adopting a reconstruction method in compressed sensing and according to the upper bound of the mean square error appreciation. The method has the advantages that the filter designed by the method is low in computation complexity and high in computation accuracy, computation complexity of an application system can be lowered, and degree of freedom of the application system is increased.

Description

technical field [0001] The invention relates to a channel shortening technology in a communication system, in particular to a design method of a channel shortening filter based on compressed sensing. Background technique [0002] With the rapid growth of communication services, people's requirements for communication quality and speed are also increasing. The impulse response of wideband communication channels is long, extending to tens of symbol periods, and causing severe intersymbol interference. In a single-input single-output system, in order to reduce intersymbol interference, a cyclic prefix needs to be added before each symbol, but the length of the cyclic prefix should not be less than the length of the impulse response of the broadband communication channel. However, a long cyclic prefix is ​​required in broadband communication channels, which will seriously reduce the transmission rate of a single-input single-output system. Aiming at these problems, the channel...

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Problems solved by technology

However, the system complexity will increase proportionally with the increase in the number of non-zero taps in the channel shortening filter, which will lead to a very high system complexity using the traditional non-sparse filter, so the sparse filter is becoming more and more more people's attention

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