Development of Quantum Hartley Transform for Signal Processing Applications
YAlok Jain1, Renu Jain2, D. K. Jain3

1Alok jain*, Mathematics, AMITY University Madhya Prasesh, Gwalior, India.
2Prof. Renu Jain, Mathematics, Jiwaji University, Gwalior, Madhya Pradesh, India.
3Dr. D. Jain, Mathematics, MITS Gwalior, Madhya Pradesh, India.
Manuscript received on February 10, 2020. | Revised Manuscript received on February 23, 2020. | Manuscript published on March 10, 2020. | PP: 211-214 | Volume-9 Issue-5, March 2020. | Retrieval Number: D2120029420/2020©BEIESP | DOI: 10.35940/ijitee.D2120.039520
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Abstract: The present paper deals with the q-analogue of Hartley transform which is the q-extension of Hartley transform. It is an orthogonal transform which is defined in the domain -∞ to ∞ whose kernel is (cosinusidal) function ‘cas’ which is a combination of trigonometrical functions ‘sin’ and ‘cos’. The q-analogue of Hartley transform is defined in the domain -∞ to ∞ whose kernel is ‘cas_q’ function which is a q-extension of ‘cas’ function. In the similar manner ‘cas_q’ is a q-extension of combination of q-extension of trigonometrical functions ‘sin_q’ and ‘cos_q’ defined in Kack and Chengue book [18]. In this paper we will establish some basic properties of q-Hartley transform, for instance linear property, change of scale property. 
Keywords: Q-Extension of Trigonometrical, Q-Analogue of Hartley Transform, Q-extension of ‘cas’ function.
Scope of the Article: Mobile App Design and Development