Abstract
The linear canonical deformed Hankel transform is a novel addition to the class of linear canonical transforms, which has gained a respectable status in the realm of signal analysis. Knowing the fact that the study of uncertainty principles is both theoretically interesting and practically useful, we formulate several qualitative and quantitative uncertainty principles for the linear canonical deformed Hankel transform. Firstly, we derive Hardy's and Miyachi's uncertainty principles associated with the proposed transform. Next, we formulate the Heisenberg uncertainty principle via many approaches. We culminate our study by formulating several concentration-based uncertainty principles, including the Donoho-Stark and local inequalities for the linear canonical deformed Hankel transform.