most citedTowards implementing multi-channels, ring-oscillator-based, Vernier time-to-digital converter in FPGAs: key design points and construction method

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math.CV2026

The Uncertainty Principles of Quaternion Fractional Fourier Transform

Ke Cui, Haipan Shi, Xiaomin Tang

In this paper, we mainly establish the uncertainty principle (UP) for a function and its quaternion Fractional Fourier transform (QFrFT), as well as the UP for two QFrFTs. Using th…