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Multidimensional signal processing using quaternion complex Hadamard transform in sequency domain

Multidimensional signal processing using quaternion complex Hadamard transform in sequency domain

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This Letter presents the quaternion conjugate symmetric-sequency ordered complex Hadamard transform (QCS-SCHT). The purpose of this research is to present the idea of the quaternion in sequency domain that is based on four complexified terms including real and imaginary values are discussed and developed with different types of quaternions planes for QCS-SCHT. QCS-SCHT is discussed for colour image processing.

References

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      • 4. Ell, T.A., Bihan, N.L., Sangwine, S.J.: ‘Quaternion Fourier transforms for signal and image processing’ (Wiley-IEEE Press, Hoboken, NJ, USA, 2014), p. 160.
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      • 6. Wang, C., Wang, X., Li, Y., et al: ‘Quaternion polar harmonic Fourier moments for color images’, Inf. Sci., 2018, 450, pp. 141156. Available at https://doi.org/10.1016/j.ins.2018.03.040.
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