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Journals / Istanbul Journal of Mathematics / 2026 / Volume: 4 Issue: 1

Coupled Fractional Ambiguity Function

Ayşe Sandıkçı(ONDOKUZ MAYIS UNIVERSITY)0000-0001-5800-5558
Pages
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Publication Date
2026-06-30
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

As a consequence of Moyal’s identity, we also establish the maximum and volume properties of the proposed function.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The ambiguity function is a vital analytical instrument for characterizing radar waveform attributes, such as time-delay and Doppler resolutions.
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Key Findings & Data:This paper introduces the coupled fractional ambiguity function (CFrAF), a novel generalization that extends the utility of the classical ambiguity function.
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Conclusion & Impact:As a consequence of Moyal’s identity, we also establish the maximum and volume properties of the proposed function.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fractional Fourier transform · coupled fractional Fourier transform · coupled fractional ambiguity function

Abstract

The ambiguity function is a vital analytical instrument for characterizing radar waveform attributes, such as time-delay and Doppler resolutions. This paper introduces the coupled fractional ambiguity function (CFrAF), a novel generalization that extends the utility of the classical ambiguity function. We present a theoretical framework for the CFrAF, deriving its fundamental properties such as time-frequency shifts, Moyal’s identity, and the inversion formula. As a consequence of Moyal’s identity, we also establish the maximum and volume properties of the proposed function.

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Cite This Article

Sandıkçı, A. (2026). Coupled Fractional Ambiguity Function. Istanbul Journal of Mathematics, Volume: 4 Issue: 1. https://doi.org/10.26650/ijmath.2026.00031

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