International Journal of

ADVANCED AND APPLIED SCIENCES

EISSN: 2313-3724, Print ISSN: 2313-626X

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 Volume 10, Issue 5 (May 2023), Pages: 195-202

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 Original Research Paper

Implementation and analysis of symmetrical signals in the sequency domain

 Author(s): 

 Dur-e-Jabeen 1, *, M. Ghazanfar Monir 2, M. Rafiullah 3, Faiza Waqqas 1, Habib Shaukat 1

 Affiliation(s):

 1Department of Electronic Engineering, Sir Syed University of Engineering and Technology, Karachi, Pakistan
 2Department of Electronic Engineering, Muhammad Ali Jinnah University, Karachi, Pakistan
 3Department of Mathematics, COMSATS University Islamabad, Lahore, Pakistan

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 * Corresponding Author. 

  Corresponding author's ORCID profile: https://orcid.org/0000-0002-6743-2911

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2023.05.023

 Abstract:

Every transform has unique attributes and traits that are crucial to reducing computing costs and offering simple solutions. Many different frequency domain transformations, for instance, have properties that can be used in a variety of signal processing applications and analyses. Some of the Complex Hadamard Transform's variants' sequencies can be compared to those of the Discrete Fourier Transforms. It is proven the characteristics of the Conjugate Symmetric Sequency-Ordered Complex Hadamard Transform symmetry. These qualities are crucial for signal analysis and image processing. Due to duplicate spectra across the origin, it reduces computational complexity, makes an analytical analysis for symmetric signals simpler, and needs less storage. Its analysis shows that the Discrete Fourier Transform and this Complex Hadamard Transform version exhibit similar symmetry tendencies. By using elementary signals in the time domain to connect the positive and negative sequencies with their associated phasor conceptions, sequency domain spectra are used to highlight these properties. As a result of image representation, relative spectra are represented in related domains. Transform can be used to extract and analyze various aspects from a wide range of medical images.

 © 2023 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords: Symmetry properties, Real values, Imaginary values, Complex axis, Phasor rotations

 Article History: Received 23 October 2022, Received in revised form 23 February 2023, Accepted 29 March 2023

 Acknowledgment 

No Acknowledgment.

 Compliance with ethical standards

 Conflict of interest: The author(s) declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.

 Citation:

 Dur-e-Jabeen, Monir MG, Rafiullah M, Waqqas F, and Shaukat H (2023). Implementation and analysis of symmetrical signals in the sequency domain. International Journal of Advanced and Applied Sciences, 10(5): 195-202

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 Figures

 Fig. 1 Fig. 2 Fig. 3 Fig. 4 Fig. 5 Fig. 6 Fig. 7 Fig. 8 Fig. 9 Fig. 10 Fig. 11 Fig. 12 

 Tables

 Table 1  

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