This analysis identifies a sharper uncertainty principle for quaternion Fourier transforms, indicating implications for the ambiguity function.
In this paper, we obtain a sharper Heisenberg‐Pauli‐Weyl uncertainty principle for quaternion Fourier transforms, which is also generalized partially to the case with . In addition, we introduce the so‐called quaternion ‐ambiguity function, and obtain related Heisenberg‐Pauli‐Weyl uncertainty principles for this generalized ambiguity function.
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Liang et al. (2025) studied this question.
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