Splitting the unit delay [FIR/all pass filters design]

Laakso, T.I.; Välimäki, Vesa; Karjalainen, Matti; Laine, Unto K.

doi:10.1109/79.482137

Cited by 1,058 publications

(467 citation statements)

References 86 publications

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“…We also found that these processes can be efficiently implemented by the Farrow-based variable digital filter (VDF) [15,16]. Important advantages of the proposed structure are that the VDF coefficients can be varied online cope with possibly changing timing jitters, and more importantly it can be implemented in hardware without any multiplications, apart from a limited number of multipliers required to implement the tuning variables [17].…”

Section: Introductionmentioning

confidence: 94%

“…In the context of FDDF, it gives rise to a class of digital filters called VFDDFs, where the required samples at fractional sampling intervals can be computed by tuning a single parameter !, also known as tuning or spectral parameter [15,16,18,23,24]. The ideal response of the VFDDF is identical to (5), where in contrast to the case of fixed filter coefficients, the tuning parameter !…”

Section: Fractional Delay Digital Filtersmentioning

confidence: 99%

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A Versatile Iterative Framework for the Reconstruction of Bandlimited Signals from Their Nonuniform Samples

Tsui

Chan

2010

J Sign Process Syst

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In this paper, we study a versatile iterative framework for the reconstruction of uniform samples from nonuniform samples of bandlimited signals. Assuming the input signal is slightly oversampled, we first show that its uniform and nonuniform samples in the frequency band of interest can be expressed as a system of linear equations using fractional delay digital filters. Then we develop an iterative framework, which enables the development and convergence analysis of efficient iterative reconstruction algorithms. In particular, we study the Richardson iteration in detail to illustrate how the reconstruction problem can be solved iteratively, and show that the iterative method can be efficiently implemented using Farrow-based variable digital filters with few general-purpose multipliers. Under the proposed framework, we also present a completed and systematic convergence analysis to determine the convergence conditions. Simulation results show that the iterative method converges more rapidly and closer to the true solution (i.e. the uniform samples) than conventional iterative methods using truncation of sinc series.

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Section: Introductionmentioning

confidence: 94%

Section: Fractional Delay Digital Filtersmentioning

confidence: 99%

A Versatile Iterative Framework for the Reconstruction of Bandlimited Signals from Their Nonuniform Samples

Tsui

Chan

2010

J Sign Process Syst

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“…A 1-D translation with amplitude τ : s → s is achieved by means of a convolution with a fractional delay filter [10]:…”

Section: The H 2 O Algorithmmentioning

confidence: 99%

H2O: Reversible Hexagonal-Orthogonal Grid Conversion by 1-D Filtering

Condat

Forster-Heinlein

Ville

2007

2007 IEEE International Conference on Image Processing

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In this work, we propose a new grid conversion algorithm between the hexagonal lattice and the orthogonal (a.k.a. Cartesian) lattice. The conversion process, named H 2 O, is easy to implement and is perfectly reversible using the same algorithm to return from one lattice to the other. The key observation of our approach is a decomposition of the lattice conversion as a sequence of shearing operations along three well-chosen directions. Hence, only 1-D fractional sample delay operators are required, which can be implemented by simple convolutions. The proposed algorithm combines reversibility and fast 1-D operations, together with high-quality resampled images.

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“…In this application, a TVFD element is conveniently approximated using Lagrange interpolation [4], which is often used in digital waveguide models due to its easy coefficient update, bounded magnitude response that does not risk the stability of the feedback loop, and a transient-free behavior in time-varying cases. The Farrow structure can be used to implement a Lagrange interpolation so that its transfer function is directly controlled by a single parameter d(n) [10], [11].…”

Section: Dual-delay-line String Modelmentioning

confidence: 99%

Plucked-string synthesis algorithms with tension modulation nonlinearity

Välimäki¹,

Tolonen²,

Karjalainen³

1999

1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258)

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Digital waveguide modeling of a nonlinear vibrating string is investigated when the nonlinearity is essentially caused by tension modulation. We derive synthesis models where the nonlinearity is implemented with a time-varying fractional delay filter. Also, conversion from a dual-delay-line physical model into a single-delay-loop model is explained. Realistic synthetic tones with nonlinear effects are obtained by introducing minor amendments to a linear string synthesis algorithm. It is shown how synthetic plucked-string tones are modified as a consequence of tension modulation. Examples of synthesized tones are available at http://www.acoustics.hut.fi/~ttolonen/sounddemos/tmstr/.

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Splitting the unit delay [FIR/all pass filters design]

Cited by 1,058 publications

References 86 publications

A Versatile Iterative Framework for the Reconstruction of Bandlimited Signals from Their Nonuniform Samples

A Versatile Iterative Framework for the Reconstruction of Bandlimited Signals from Their Nonuniform Samples

H2O: Reversible Hexagonal-Orthogonal Grid Conversion by 1-D Filtering

Plucked-string synthesis algorithms with tension modulation nonlinearity

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