Fractional Delay Filter Based on the B-Spline Transform

Olkkonen, Juuso; Olkkonen, H.

doi:10.1109/lsp.2006.882103

Cited by 26 publications

(26 citation statements)

References 18 publications

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“…2(c)). Any application of fractional delay filters (e.g., based on Lagrange interpolation [37] or B-splines [39,40]) will involve approximations or noncasual solutions. Low-error approximations converge to the formula of the resampling process (15) which is the only accurate solution in the discrete domain.…”

Section: Application Of Cgf Instead Of Dgf In the Fdtd Methodsmentioning

confidence: 99%

Applications of the Discrete Green's Function in the Finite-Difference Time-Domain Method

Stefański¹

2013

PIER

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Abstract-In this paper, applications of the discrete Green's function (DGF) in the three-dimensional finite-difference time-domain (FDTD) method are presented. The FDTD method on disjoint domains was developed employing DGF to couple the FDTD domains as well as to compute the electromagnetic field outside these domains. Hence, source and scatterer are simulated in separate domains and updating of vacuum cells, being of little interest from a user point of view, can be avoided. In the developed method, the field radiated by an FDTD domain is computed as a convolution of DGF with equivalent current sources measured over two displaced Huygens surfaces. Therefore, the computed electromagnetic field is compatible with the FDTD grid and can be applied as an incident wave in a coupled totalfield/scattered-field domain. In the developed method, the DGF waveforms are truncated using the Hann's window and windowing parameters assuring accuracy of computations are pointed out. The error of the field computations varies between −90 dB and −40 dB depending on the DGF length and excitation waveform. However, if the DGF length is equal to the number of iterations in a simulation, the presented DGF-based techniques return the same results as the direct FDTD method.

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Section: Application Of Cgf Instead Of Dgf In the Fdtd Methodsmentioning

confidence: 99%

Applications of the Discrete Green's Function in the Finite-Difference Time-Domain Method

Stefański¹

2013

PIER

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“…In (Olkkonen & Olkkonen, 2007) we have described the FD filter design procedure based on the B-spline interpolation and decimation procedure for the construction of the fractional delays…”

Section: Fractional Delay B-spline Filtermentioning

confidence: 99%

“…In this book chapter we introduce a linear phase and shift invariant BDWT bank consisting of M fractionally delayed wavelets. The idea is based on the B-spline interpolation and decimation procedure, which is used to construct the fractional delay (FD) filters (Olkkonen & Olkkonen, 2007). The FD B-spline filter produces delays τ =N/M (N, M∈ N , N= 0,…,M-1).…”

Section: Introductionmentioning

confidence: 99%

Shift Invariant Biorthogonal Discrete Wavelet Transform for EEG Signal Analysis

Olkkonen¹,

Olkkonen²

2011

Discrete Wavelet Transforms - Theory and Applications

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“…Many design techniques have been proposed for digital finite impulse response (FIR) and IIR filter type to approximate the ideal digital fractional delay transfer function of (1) [15][16][17][18][19][20][21][22]. Besides, fractional order system theory is a very growing subject by its applications in different areas of physics and engineering [23][24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%