New convolution related theorems and applications associated with offset linear canonical transform

2025/05/02 by G. Mahato, Mahato, Gita Rani, Varghese, Sarga +2 · 1 citation
Computer Science · Mathematics · #Digital Filter Design and Implementation #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Image and Signal Denoising Methods #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.2505.01046

openalex publication_date 2025/05/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Convolution and Correlation Theorems for Wigner-Ville Distribution Associated with the Quaternion Offset Linear Canonical Transform
• Wigner-Ville distribution associated with the quaternion offset linear canonical transforms

Cited by

• Inequality, uncertainty principles and their structural analysis for offset linear canonical transform and its quaternion extension

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