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Quaternion Wigner-Ville distribution associated with the linear canonical transforms
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The QLCT, a generalization of the classical 2D Fourier transform, has applications in color image and signal processing.

This paper presents new notions for the quaternion Wigner distribution (QLWD) and the corresponding ambiguity function in the QLCT setting.

Connection with the corresponding analytic signal are investigated.

Examples with bandpass analytic signal illustrate the features of the proposed distributions.

A novel algorithm for the detection of quaternion-valued linear frequency-modulated signal is presented by the proposed QLWD.

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