Abstract
Periodic discrete splines with different periods and spans were introduced in Sect. 3.4. In this chapter, we discuss families of periodic discrete splines, whose periods and spans are powers of 2. As in the polynomial splines case, the Zak transform is extensively employed. It results in the Discrete Spline Harmonic Analysis (DSHA). Utilization of the Fast Fourier transform (FFT) enables us to implement all the computations in a fast explicit way.
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References
V.N. Malozemov, S.M. Masharsky, Basics of the Discrete Harmonic Analysis (Lan’, St. Petersburg, 2012) (In Russian)
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© 2014 Springer Science+Business Media Dordrecht
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Averbuch, A.Z., Neittaanmaki, P., Zheludev, V.A. (2014). Periodic Discrete Splines. In: Spline and Spline Wavelet Methods with Applications to Signal and Image Processing. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-8926-4_13
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DOI: https://doi.org/10.1007/978-94-017-8926-4_13
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