A modified convolution and product theorem for the linear canonical transform derived by representation transformation in quantum mechanics

• Autorzy: Navdeep Goel , Kulbir Singh
• Języki publikacji: EN

Abstrakty

EN

The Linear Canonical Transform (LCT) is a four parameter class of integral transform which plays an important role in many fields of signal processing. Well-known transforms such as the Fourier Transform (FT), the FRactional Fourier Transform (FRFT), and the FreSnel Transform (FST) can be seen as special cases of the linear canonical transform. Many properties of the LCT are currently known but the extension of FRFTs and FTs still needs more attention. This paper presents a modified convolution and product theorem in the LCT domain derived by a representation transformation in quantum mechanics, which seems a convenient and concise method. It is compared with the existing convolution theorem for the LCT and is found to be a better and befitting proposition. Further, an application of filtering is presented by using the derived results.

Słowa kluczowe

EN

linear canonical transform; convolution and product theorem; quantum mechanical representation

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2013
• Tom: 23
• Numer: 3
• Strony: 685-695

Daty

wydano

2013

otrzymano

2012-07-11

poprawiono

2012-11-22

Twórcy

autor

Navdeep Goel

• Electronics and Communication Engineering Section, Yadavindra College of Engineering, Punjabi University Guru Kashi Campus, Talwandi Sabo-151302, Punjab, India

autor

Kulbir Singh

• Department of Electronics and Communication Engineering, Thapar University, Patiala-147001, Punjab, India

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Identyfikatory

DOI

10.2478/amcs-2013-0051