Reconstructing reflecting object images using Born approximation

Pahomov, V. A.; Semenchik, V. G.; Kurilo, S.

doi:10.1109/eumc.2005.1610192

Cited by 6 publications

(2 citation statements)

References 9 publications

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“…В упомянутых случаях изменение состояния изучаемого объекта приводит к изменению объектной волны и получаемой интерференционной картины, которая записывается цифровым образом. Влияние дискретности на точность воспроизведения цифровых изображений рассмотрено во многих работах, например, в [12][13][14][15], но в них основной задачей является выбор периода дискретизации изображения исходя из ширины пространственного спектра и не учитывается наличие шума в изображении.…”

Section: обработка информации и управлениеunclassified

Influence of noise and sampling rate on the discrete image representation error

Timofeev

Sultanov

2021

ICS

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Introduction: Digital registration of images is accompanied not only by an error caused by finite spatial resolution of the photo matrix, but also by the effect of noise whose contribution to the total error decreases with an increase in the aperture of the photosensors in the matrix. Thus, changing the sampling rate has the opposite effect on the sampling error and on the error caused by the noise. Purpose: Finding the optimal image sampling rate which would provide the minimum sampling error in the presence of noise. Results: We have studied how an image discrete representation error depends on the sampling frequency and noise level. The image sampling process in the presence of noise was simulated in the MATLAB environment. The dependencies of the root-mean-square deviation of the sampling error caused by spectrum truncation (decrease in the passband of the low-pass filter) and the noise component of the error on the sampling frequency were plotted. A theorem is formulated on the upper bound of the sampling theorem: when sampling a function of finite duration in the presence of noise, there is a finite minimum value of the sampling error which is determined by the shape of the spectrum of the function and the noise level. Practical relevance: It is advisable to use the research results when choosing a photomatrix by the number of pixels for recording images in the presence of noise, as well as when choosing a low-pass filter passband for primary processing of a digital image.

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Section: обработка информации и управлениеunclassified

Influence of noise and sampling rate on the discrete image representation error

Timofeev

Sultanov

2021

ICS

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“…Высокая помехоустойчивость голографического способа обработки информации и способность обнаруживать сигнал, во много раз меньший уровня по-мех, нашли применение в радиоголографии при построении радиолокационных систем [2,3,4]. Способы уменьшения загрузки радиоканала при передаче информации для последующего синтеза голограммы 3D-изображений без их недопустимых искажений рассмотрены в работе [5].…”

Section: Introductionunclassified

Building a noise-tolerant code based on a holographic representation of arbi-trary digital information

Timofeev

Sultanov

2020

Computer Optics

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The article considers a method of error-correcting coding based on the holographic representation of a digital signal. The message encoding process is a mathematical simulation of a hologram created in virtual space by a wave from an input signal source. The code word is a hologram of a point, it is also a one-dimensional zone ruler that carries information about the input data block in the form of an n-bit code of the coordinate of the center of the Fresnel zones. It is shown that the holographic representation of the signal has significantly greater noise immunity and allows you to restore the original digital combination when most of the code message is lost and when the encoded signal is distorted by noise several times higher than the signal level. To assess the noise immunity, the reliability of information transmission over the channel with additive white Gaussian noise is compared using the Reed-Solomon code, the Reed-Muller code, the majority code, and the holographic code. The comparative efficiency of codes in the presence of packet errors caused by the effect of fading due to multipath propagation in radio channels is considered. It is shown that holographic coding provides the correction of packet errors regardless of the length of the packet and its location in the codeword. The holographic code is of interest for transmitting information over channels with a low signal-to-noise ratio (space communications and optical communication systems using free space as a transmission channel, terrestrial, including mobile radio communications), as well as for storing information in systems exposed to ionizing radiation.

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