Mathematical description of imaging processes in ultra-wideband active aperture synthesis systems using stochastic sounding signals

Volosyuk, V. K.; Zhyla, Simeon; Павликов, В. В.; Tserne, Eduard; Sobkolov, Anton; Shmatko, Olexandr; Belousov, K. A.

doi:10.32620/reks.2021.4.14

Cited by 2 publications

(2 citation statements)

References 9 publications

(12 reference statements)

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“…This work is devoted to the development of algorithms for incoherent and coherent radio imaging by RS with active aperture synthesis. It continues previous research [22,23].…”

Section: Introductionsupporting

confidence: 89%

Practical imaging algorithms in ultra-wideband radar systems using active aperture synthesis and stochastic probing signals

Zhyla¹,

Volosyuk²,

Павликов³

et al. 2023

reks

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The subject of the manuscript is the algorithms for radar imaging. This research develops imaging methods and algorithms for wideband and ultrawideband active aperture synthesis systems with antenna arrays and stochastic probing signals. The use of antenna arrays makes it possible to obtain radar images without the need to move radar or antenna system in space. The use of wideband and ultra-wideband stochastic probing signals is justified by their narrow autocorrelation functions. This increased the resolution of the obtained images. The main idea of the proposed algorithms is to filter the original wideband signal into several narrowband processes. Furthermore, only the central frequencies of each narrowband signal were processed. This approach allows us to use the classical widespread methods of aperture synthesis for the case of a wideband signal. Usually, they are applicable only for narrowband signals that satisfy the condition of a quasi-monochromatic approximation. This significantly reduces the overall computational complexity of the imaging algorithm, which simplifies its further practical implementation on the existing radioelement base. Because of the simulation, a primary radar image has been obtained and the overall performance of the proposed approach to processing wideband signals has been confirmed. An increase in the quality of the obtained image when using a multiple of frequency ranges is shown. An experimental study of the effect of processing a wideband signal only at its centre frequency instead of the entire frequency band is conducted. During the experiment, the correlation functions of the signals received by two spaced receivers were obtained. As a result, the Van Cittert-Zernike theorem has been experimentally confirmed. It allows signal processing only at its centre frequency instead of the entire frequency band. Simultaneously, the prospect of expanding the bandwidth of the probing signal is indicated. It, in the presence of a wideband element base and devices for high-speed signal processing, will further increase the imaging resolution of a radar system.

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“…This work is devoted to the development of algorithms for incoherent and coherent radio imaging by RS with active aperture synthesis. It continues previous research [22,23].…”

Section: Introductionsupporting

confidence: 89%

Practical imaging algorithms in ultra-wideband radar systems using active aperture synthesis and stochastic probing signals

Zhyla¹,

Volosyuk²,

Павликов³

et al. 2023

reks

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“…The identification of channel parameters has become a major topic addressed mainly by researchers in the signal-processing field [3]. In this work, we will apply a new method based on a positive-definite kernels on Hilbert space using a Gaussian kernel to identify the channel parameters [4].…”

Section: Introductionmentioning

confidence: 99%

Supervised identification and equalization of transmission channel using reproducing kernel Hilbert space

Badi

Badi²,

Khamjane³

et al. 2023

reks

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The subject matter of the article is to identify and equalize the parameters of telecommunication channels. The goal is to develop a new mathematical approach based on positive definite kernels on a Hilbert space. The tasks to be solved are: (a) to formulate a mathematical procedure based on a kernel; a kernel is a function that maps pairs of data points to a scalar value, and positive definite kernels are widely used in machine learning and signal processing applications; (b) to identify the channel parameters using the proposed method; and (c) to apply the Zero Forcing and MMSE equalizer to measure the performance of the proposed system. This article introduces a new method to address the problem of supervised identification of transmission channel parameters based on the positive definite kernel on Hilbert space, which implements Gaussian kernels. The input sequence, used as an input for a system or process, is assumed to be independent, have a zero mean, a non-Gaussian distribution, and be identically distributed. These assumptions are made to simplify the analysis and modeling. The proposed method for estimating the parameters of the channel impulse response yields promising results, indicating that the estimated parameters are close to the measured parameters of the model for various channels. The convergence of the estimated parameters toward the measured parameters of the model is particularly noticeable for BRAN A (indoor) and BRAN E (outdoor) channels. The method has been tested with different channel models, and the results remain consistent. Overall, the proposed method appears to be a reliable and effective approach for estimating channel impulse response parameters. The accuracy of the estimated parameters is particularly noteworthy considering the challenges inherent in modeling wireless channels, which can be influenced by various factors such as obstacles and interference. These findings have important implications for the design and optimization of wireless communication systems. Accurate estimates of channel impulse response parameters are essential for predicting and mitigating the effects of channel distortion and interference, and the proposed method represents a promising tool for achieving this goal. Further research and testing are needed to validate and refine the method and to explore its potential applications in different settings and scenarios. We evaluated the performance of the system using the estimated parameters obtained from the proposed method. Two equalizers, MMSE and ZF, were used, and the results show that MMSE outperforms ZF. Both equalizers produced highly satisfactory outcomes.

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Mathematical description of imaging processes in ultra-wideband active aperture synthesis systems using stochastic sounding signals

Cited by 2 publications

References 9 publications

Practical imaging algorithms in ultra-wideband radar systems using active aperture synthesis and stochastic probing signals

Practical imaging algorithms in ultra-wideband radar systems using active aperture synthesis and stochastic probing signals

Supervised identification and equalization of transmission channel using reproducing kernel Hilbert space

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