Non-cooperative UWB Signal Reconstruction Method Based on Hybrid Compressed Sampling

Abstract

The invention discloses a non-cooperative ultra-wideband signal reconstruction method based on hybrid compressed sampling, which mainly solves the problem that the prior art cannot use effective priors to reconstruct non-cooperative signals. The implementation steps are as follows: (1) Perform random projection observation and projection observation on the basis function of the transform domain for the input analog signal; (2) use the linear combination of the projection observation coefficient and the basis function to realize the rough reconstruction of the signal; (3) use the principal component analysis method to Roughly reconstruct the signal and perform K-L decomposition to obtain the eigenvector of the signal autocorrelation matrix; (4) use the eigenvector matrix as the sparse domain of the signal, and realize the fine reconstruction of the signal under the theoretical framework of compressed sensing. The invention can realize low-speed sampling and accurate reconstruction of ultra-wideband signals in a non-cooperative environment, and can be used for low-speed acquisition of ultra-wideband signals.

Description

technical field [0001] The invention belongs to the technical field of signal processing, and in particular relates to a non-cooperative ultra-wideband signal reconstruction method, which can be used for low-speed acquisition of ultra-wideband signals. Background technique [0002] UWB technology in the modern sense appeared in the 1960s. Dr. Gerald F. Ross pioneered the demonstration of the feasibility of UWB technology in radar and communication. After more than 50 years of development, ultra-wideband technology is widely used in radio communication, radar, precise positioning, imaging and other fields. Compared with conventional radio technology, ultra-wideband technology has the advantages of anti-fading, large capacity, and low power. [0003] In the application of conventional radio technology, according to the Nyquist sampling theorem, obtaining ultra-wideband signals requires a very high sampling frequency. High-frequency signal sampling increases the difficulty of...

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Problems solved by technology

[0007] The purpose of the present invention is to propose a non-cooperative ultra-wideband signal reconstruction method based on hybrid compressed sampling, to solve the existing technology in a non-cooperative environment, because the lack of sufficient prior to the signal, and can not directly apply compression The problem of effectively reconstructing the original signal from observational data in perception theory

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