Template-Type: ReDIF-Article 1.0
Author-Name:Dure Jabeen, Tahmina Khan,S. M. Ghazanfar Monir,Dilbar Hussain, Rumaisa Iftikhar
Author-Email:durejabeen@hotmail.com
Author-Workplace-Name:Department of Computer Science, Main Campus, IQRA University, Karachi, Department of Computer Information Technology, Aligarh Institute of Technology (AIT), Karachi School of Business & Leadership, Department of Electronic Engineering, Sir Syed University of Engineering and Technology, Karachi
Title:A Comprehensive Toolset for Signal Processing using a Family of Hadamard Transforms
Abstract:Independent basis of the linear vectors isof paramount significance in the advancement of  digital  systems  that  facilitate  the  processing  and  storage  of  information  in  its  digital format.   This   study   undertakes   a   thorough   examination   of   discrete   orthogonal transformations, with particular focus on the family of real and complex Hadamard transforms and  their  numerous  types.  The  efficacy  of  various  sequences  is  scrutinized,  alongside  their mathematical representation, inherent characteristics, and applications in signal processing. An analysis of the computational cost associated with the complex Hadamard Transform and its variants  is  presented.  Furthermore,  simulation  outcomes  are  contrasted  for  the  normalized sequency concerning magnitude response, image compression, and peak signal-to-noise ratio across a variety of image processing applications.
Keywords:Basis Vectors, Signal Processing, Real and Complex Signals, Sequency Domain
Journal:International Journal of Innovations in Science and Technology
Pages:770-801
Volume:7
Issue:2
Year:2025
Month:May
File-URL:https://journal.50sea.com/index.php/IJIST/article/view/1360/2192
File-Format: Application/pdf
File-URL:https://journal.50sea.com/index.php/IJIST/article/view/1360
File-Format: text/html
Handle: RePEc:abq:IJIST1:v:7:y:2025:i:2:p:770-801