Article ID: MTJPAM-D-25-00235

Title: Characterization of linear canonical ambiguity function on some function spaces


Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-25-00235; Volume 8 / Issue 2 / Year 2026, Pages 61-70

Document Type: Research Paper

Author(s): Ayşe Sandıkçı a

aDepartment of Mathematics, Faculty of Science, Ondokuz Mayis University, Samsun, Turkey

Received: 28 September 2025, Accepted: 17 April 2026, Published: 9 September 2026

Corresponding Author: Ayşe Sandıkçı (Email address: ayses@omu.edu.tr)

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Abstract

An important time-frequency analytic tool, the classical ambiguity function (AF), was developed for the examination of the time-frequency properties of non-stationary signals. Radar waveform characteristics such as time-delay resolution, Doppler resolution and Doppler-tolerance characteristic may all be accurately and efficiently analyzed using it. This paper is concerned with the continuity properties of the linear canonical ambiguity function, which is a generalization of the classical ambiguity function using the linear canonical transform. It is demonstrated that the linear canonical ambiguity function yields continuity results on Hardy, BMO, weighted Hardy and weighted BMO spaces. The Hardy, BMO, weighted Hardy and weighted BMO distances of two linear canonical ambiguity functions connected to different functionals and signals are also investigated in this work.

Keywords: Linear canonical ambiguity function, Hardy space, weighted Hardy space, BMO space, weighted BMO space

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Cite this article

How to cite this article: A. Sandıkçı, Characterization of linear canonical ambiguity function on some function spaces, Montes Taurus J. Pure Appl. Math. 8 (2), 61-70, 2026; Article ID: MTJPAM-D-25-00235.