Scholarlink

<p>The quadratic phase Fourier transform (QPFT) is a generalization of several well known integral transforms, including the linear canonical transform (LCT), fractional Fourier transform (FrFT), and Fourier transform (FT). This paper introduces the multidimensional QPFT and investigates its theoretical properties, including Parseval’s identity and inversion theorems. Also, multidimensional convolution is proposed for QPFT in the multidimensional setting. Additionally, Boas type theorem for the multidimensional QPFT is established. As applications, multidimensional multiplicative filter design and the solution of multidimensional integral and differential equations using the proposed convolution operation are explored.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

The Multidimensional Quadratic Phase Fourier Transform: Theoretical Analysis and Applications

  • 期刊论文

  • 发表日期：

    2025年9月7日

查看全文
  • Manab Kundu,
  • Sarga Varghese,
  • Gita Rani Mahato

摘要

The quadratic phase Fourier transform (QPFT) is a generalization of several well known integral transforms, including the linear canonical transform (LCT), fractional Fourier transform (FrFT), and Fourier transform (FT). This paper introduces the multidimensional QPFT and investigates its theoretical properties, including Parseval’s identity and inversion theorems. Also, multidimensional convolution is proposed for QPFT in the multidimensional setting. Additionally, Boas type theorem for the multidimensional QPFT is established. As applications, multidimensional multiplicative filter design and the solution of multidimensional integral and differential equations using the proposed convolution operation are explored.