To the Matter of Optimal Transfer Characteristics of Linear Selective Systems of Communication Channel With Memory and APSK-$N$ Signals

Lerner, I. M.; Il'in, German I.; Ильин, В. И.

doi:10.1109/synchroinfo.2019.8814277

Cited by 14 publications

(2 citation statements)

References 7 publications

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“…We note the difference between matrices (11) and (7), which lies in the nature of the parameter  2 change. The inverse 2D DFT-VP in matrix form is determined by the matrix equation…”

Section: системный анализmentioning

confidence: 99%

“…Fourier-processing of finite discrete two-dimensional (FDTD) signals (including images) in informational control (IC) systems is the most important method for studying processes and analyzing information [1][2][3][4][5][6][7][8]. The theoretical basis of Fourierprocessing of FDTD signals is two-dimensional direct and inverse discrete Fourier transforms (2D DFT, 2D IDFT) [9][10][11][12][13][14][15] which can be represented in form of:…”

Section: Introductionmentioning

confidence: 99%

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Theoretical foundations of digital vector Fourier analysis of two-dimensional signals padded with zero samples

Пономарева

Пономарев

2021

ICS

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Introduction: The practice of using Fourier-processing of finite two-dimensional signals (including images), having confirmed its effectiveness, revealed a number of negative effects inherent in it. A well-known method of dealing with negative effects of Fourier-processing is padding signals with zeros. However, the use of this operation leads to the need to provide information control systems with additional memory and perform unproductive calculations. Purpose: To develop new discrete Fourier transforms for efficient and effective processing of two-dimensional signals padded with zero samples. Method: We have proposed a new method for splitting a rectangular discrete Fourier transform matrix into square matrices. The method is based on the application of the modulus comparability relation to order the rows (columns) of the Fourier matrix. Results: New discrete Fourier transforms with variable parameters were developed, being a generalization of the classical discrete Fourier transform. The article investigates the properties of Fourier transform bases with variable parameters. In respect to these transforms, the validity has been proved for the theorems of linearity, shift, correlation and Parseval's equality. In the digital spectral Fourier analysis, the concepts of a parametric shift of a two-dimensional signal, and a parametric periodicity of a two-dimensional signal have been introduced. We have estimated the reduction of the required memory size and the number of calculations when applying the proposed transforms, and compared them with the discrete Fourier transform. Practical relevance: The developed discrete Fourier transforms with variable parameters can significantly reduce the cost of Fourier processing of two-dimensional signals (including images) padded with zeros.

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“…We note the difference between matrices (11) and (7), which lies in the nature of the parameter  2 change. The inverse 2D DFT-VP in matrix form is determined by the matrix equation…”

Section: системный анализmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Theoretical foundations of digital vector Fourier analysis of two-dimensional signals padded with zero samples

Пономарева

Пономарев

2021

ICS

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To the matter of automatic stabilization of optical emission wavelength of He-Ne laser

Akhmetshina

Il'in

et al. 2019

E3S Web Conf.

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The work is devoted to solving problem of long-term synchronization of optical coherent emission of a helium-neon laser in the automatic mode, which can be used in particular in portable gravitational field detectors. A block diagram of the system that solves this problem is presented, the principle of operation is described. Much attention is also paid to existing solutions, their shortcomings are described.

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Properties of Two-Dimensional Discrete Exponential Functions with Variable Parameter in Spatial-Frequency Domain

Пономарева

Пономарев

Natalia

2021

2021 23rd International Conference on Digital Signal Processing and Its Applications (DSPA)

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To the Matter of Optimal Transfer Characteristics of Linear Selective Systems of Communication Channel With Memory and APSK-$N$ Signals

Cited by 14 publications

References 7 publications

Theoretical foundations of digital vector Fourier analysis of two-dimensional signals padded with zero samples

Theoretical foundations of digital vector Fourier analysis of two-dimensional signals padded with zero samples

To the matter of automatic stabilization of optical emission wavelength of He-Ne laser

Properties of Two-Dimensional Discrete Exponential Functions with Variable Parameter in Spatial-Frequency Domain

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