New convolution related theorems and applications associated with offset linear canonical transform
Gita Rani Mahato, Sarga Varghese, and Manab Kundu
TL;DR
This paper introduces new convolution and correlation theorems for the offset linear canonical transform (OLCT), explores their applications in filter design, and analyzes signal properties within the OLCT framework.
Contribution
It presents novel convolution and correlation theorems for OLCT and investigates their applications and signal characteristics, expanding OLCT theory and practical utility.
Findings
New convolution and correlation theorems for OLCT
Applications in multiplicative filter design in optics and signal processing
Analysis of Paley-Wiener and Boas theorems for OLCT
Abstract
In this paper, we define new type of convolution and correlation theorems associated with the offset linear canonical transform (OLCT). Additionally, we discuss their applications in multiplicative filter design, which may prove useful in optics and signal processing for signal recovery. Furthermore, we explore the real Paley-Wiener (PW) and Boas theorems for the OLCT, analyzing signal characteristics for OLCT within the L2 domain.
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Taxonomy
TopicsImage and Signal Denoising Methods · Mathematical Analysis and Transform Methods · Digital Filter Design and Implementation