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Related Concept Videos

Convolution Properties II01:17

Convolution Properties II

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The important convolution properties include width, area, differentiation, and integration properties.
The width property indicates that if the durations of input signals are T1 and T2, then the width of the output response equals the sum of both durations, irrespective of the shapes of the two functions. For instance, convolving two rectangular pulses with durations of 2 seconds and 1 second results in a function with a width of 3 seconds.
The area property asserts that the area under the...
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Convolution: Math, Graphics, and Discrete Signals01:24

Convolution: Math, Graphics, and Discrete Signals

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In any LTI (Linear Time-Invariant) system, the convolution of two signals is denoted using a convolution operator, assuming all initial conditions are zero. The convolution integral can be divided into two parts: the zero-input or natural response and the zero-state or forced response, with t0 indicating the initial time.
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Convolution Properties I01:20

Convolution Properties I

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Convolution computations can be simplified by utilizing their inherent properties.
The commutative property reveals that the input and the impulse response of an LTI (Linear Time-Invariant) system can be interchanged without affecting the output:
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Transformation01:26

Transformation

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Microbial communities are dynamic environments where cell lysis releases free DNA into the surroundings. Other cells can take up this extracellular DNA through a process known as transformation.When a cell incorporates this foreign DNA into its genome, resulting in genetic modification, the process is known as transformation. Cells capable of this process are termed competent. Competence can be natural, as observed in certain bacteria and archaea, or artificially induced in the...
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Deconvolution01:20

Deconvolution

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Deconvolution, also known as inverse filtering, is the process of extracting the impulse response from known input and output signals. This technique is vital in scenarios where the system's characteristics are unknown, and they must be inferred from the observable signals.
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Vector Transformation in Rotating Coordinate Systems01:16

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Related Experiment Video

Updated: Aug 10, 2025

Quantifying Intermembrane Distances with Serial Image Dilations
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Nonlinear Encryption for Multiple Images Based on a Joint Transform Correlator and the Gyrator Transform.

Ronal A Perez1, Juan M Vilardy1, Elisabet Pérez-Cabré2

  • 1Grupo de Investigación en Física del Estado Sólido (GIFES), Faculty of Basic and Applied Sciences, Universidad de La Guajira, Riohacha 440007, La Guajira, Colombia.

Sensors (Basel, Switzerland)
|February 11, 2023
PubMed
Summary

This study introduces a new image encryption system using joint transform correlator and Gyrator transform for secure, simultaneous encryption and decryption of multiple grayscale images. The system offers high security and image quality for encrypted and decrypted images, respectively.

Keywords:
Gyrator transformjoint transform correlator (JTC)multispectral imagesnonlinear image processingoptical multiple-image encryption–decryption system

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Area of Science:

  • Optics and Photonics
  • Information Security
  • Image Processing

Background:

  • Digital image security is crucial.
  • Existing encryption methods may have limitations in handling multiple images simultaneously or in security levels.

Purpose of the Study:

  • To propose a novel nonlinear encryption-decryption system for simultaneous processing of multiple grayscale images.
  • To enhance security and maintain high image quality for encrypted and decrypted images.

Main Methods:

  • The system utilizes a joint transform correlator (JTC) and Gyrator transform (GT).
  • Multiple grayscale images are encoded in phase and input into the JTC.
  • Two random-phase masks (RPMs) are used as keys for each image.
  • Nonlinear modifications are applied to the joint Gyrator power distribution (JGPD).

Main Results:

  • A single, real-valued encrypted image is generated with high security.
  • Multiple original images are simultaneously decrypted with high quality.
  • The system demonstrated validity and performance through numerical simulations.

Conclusions:

  • The proposed JTC and GT-based system effectively achieves simultaneous encryption and decryption of multiple grayscale images.
  • The use of RPMs and nonlinear JGPD modifications enhances security and decryption quality.
  • This method offers a robust solution for secure multi-image processing.