&lt;title&gt;Farrow structure implementation of fractional delay filter optimal in Chebyshev sense&lt;/title&gt;

Blok, Marek

doi:10.1117/12.674975

Cited by 6 publications

(9 citation statements)

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“…13a) is practically the same as that required for the proposed structure (Fig. 13b) [2,7], which needs only a few additional numerical operations. This small overhead in numerical costs allows for a change of filter type and/or length by simple replacement of an extracted window and coefficients of polynomial approximating gain correction factor for this window, which is the advantage of the proposed structure.…”

Section: Vfd Filter Implementationmentioning

confidence: 48%

“…As we can see, the impulse response of full band LS FD filter (15) is a truncated impulse response of the ideal FD filter (2). This means that this type of FD filter can be designed using the rectangular window…”

Section: Extracted Window Methodsmentioning

confidence: 99%

“…The second problem with VFD filter implementation using the presented approach is the computation of the ideal impulse response (2). Each time we need to update the impulse response of the VFD filter, a new set of samples of a non-linear sinc function must be obtained.…”

Section: Vfd Filter Implementationmentioning

confidence: 99%

“…Each time we need to update the impulse response of the VFD filter, a new set of samples of a non-linear sinc function must be obtained. The problem can be dealt with a Farrow structure [2,7,11,13,18,27,32,34,38], in which each sample of the ideal impulse response (2) is computed using a polynomial…”

Section: Vfd Filter Implementationmentioning

confidence: 99%

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Variable Fractional Delay Filter Design Using a Symmetric Window

Blok

Sac

2014

Circuits Syst Signal Process

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In this paper a numerically efficient method for designing a nearly optimal variable fractional delay (VFD) filter based on a simple and well-known window method is presented. In the proposed method a single window extracted from the optimal filter with fixed fractional delay (FD) is divided into even and odd part. Subsequently, the odd part is discarded and symmetric even part of the extracted window is used to design a family of nearly optimal filters with varying FD. In addition to window extraction, the proposed approach requires filter gain correction which is dependent on the desired FD. Optimum values of the gain correction factor as well as the extracted window can be computed beforehand, which allows us to design a nearly optimal FD filter with arbitrary FD at low numerical costs during runtime. On the basis of the proposed filter design method, the universal structure of VFD filter allowing for change of filter type and length has been proposed. In the paper, three FD filter optimality criteria are considered, which are maximal flatness, Chebyshev (minimax), and least squares.

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Section: Vfd Filter Implementationmentioning

confidence: 48%

Section: Extracted Window Methodsmentioning

confidence: 99%

Section: Vfd Filter Implementationmentioning

confidence: 99%

Section: Vfd Filter Implementationmentioning

confidence: 99%

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Variable Fractional Delay Filter Design Using a Symmetric Window

Blok

Sac

2014

Circuits Syst Signal Process

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“…The polynomials of order q equal to 6 or 7 offer performance adequate for high quality FD filters with approximation error about −100 dB (Blok, 2005). The resulting structure is equally efficient for both the optimal (minimax or LS) FD filters and FD filters designed using the offset window method (Blok, 2012a).…”

Section: Vfd Filter Implementationmentioning

confidence: 99%

Variable Ratio Sample Rate Conversion Based on Fractional Delay Filter

Blok¹,

Drózda²

2015

Archives of Acoustics

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In this paper a sample rate conversion algorithm which allows for continuously changing resampling ratio has been presented. The proposed implementation is based on a variable fractional delay filter which is implemented by means of a Farrow structure. Coefficients of this structure are computed on the basis of fractional delay filters which are designed using the offset window method. The proposed approach allows us to freely change the instantaneous resampling ratio during processing. Using such an algorithm we can simulate recording of audio on magnetic tape with nonuniform velocity as well as remove such distortions. We have demonstrated capabilities of the proposed approach based on the example of speech signal processing with a resampling ratio which was computed on the basis of estimated fundamental frequency of voiced speech segments.

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On practical aspects of optimal FSD filter design using extracted window method

Blok

2011

2011 20th European Conference on Circuit Theory and Design (ECCTD)

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<title>Farrow structure implementation of fractional delay filter optimal in Chebyshev sense</title>

Cited by 6 publications

References 0 publications

Variable Fractional Delay Filter Design Using a Symmetric Window

Variable Fractional Delay Filter Design Using a Symmetric Window

Variable Ratio Sample Rate Conversion Based on Fractional Delay Filter

On practical aspects of optimal FSD filter design using extracted window method

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