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. Author manuscript; available in PMC: 2012 Dec 1.
Published in final edited form as: Int J Numer Method Biomed Eng. 2011 Dec;27(12):1996–2020. doi: 10.1002/cnm.1452

Figure 1.

Figure 1

Fourier analysis of the high-order PDE based low- and high-pass filters in Eqs. (21) and (23). Obviously, the time-frequency localization is controlled by parameter 2n, the highest order of the PDE transform. The effects of coupling strength ε (i.e. fidelity term) on the frequency responses L̂ and Ĥ are given. The values of the parameters in Eqs. (21) and (23) are given in the caption below each subfigures.