Gain deficit effect in the fractional delay filter design by the window method

Sac, Maciej; Blok, Marek

doi:10.1117/12.837314

Cited by 5 publications

(16 citation statements)

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“…In such situation signal samples are simply stored in a register for several sampling periods. However, in many cases, like in modeling of musical instruments sounds [4] and time delay estimation (TDE) [5], required delay is a fraction of sampling period and fractional delay (FD) filters [6], [7] must be utilized. Moreover, in many of these applications variable fractional delay (VFD) is required.…”

Section: Introductionmentioning

confidence: 99%

“…The ideal fractional delay filter has infinite impulse response, which is described by only one parameter -total delay [6], [7]. In order to implement FD filter in real time, its impulse response is usually approximated with causal finite impulse response (FIR), which leads to inevitable approximation errors [8].…”

Section: Introductionmentioning

confidence: 99%

“…It is worth noting that additional advantage in case of VFD filter design an additional advantage of using window method is that a single symmetric window can be used to design a VFD filter [7], [10]- [13]. However, gain of the designed filter must be corrected with different value for each desired fractional delay [7], [10]- [13].…”

Section: Introductionmentioning

confidence: 99%

“…However, gain of the designed filter must be corrected with different value for each desired fractional delay [7], [10]- [13]. As only a single window is required it can be carefully selected beforehand and used to design the whole family of FD filters differing only in fractional delay.…”

Section: Introductionmentioning

confidence: 99%

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A Nearly Optimal Fractional Delay Filter Design Using an Asymmetric Window

Sac¹,

Blok²

2011

International Journal of Electronics and Telecommunications

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Abstract-In this paper a numerically efficient filter design method suitable for variable fractional delay (VFD) filter implementation is investigated. We propose to use a well known window method with an asymmetric window extracted from optimal filter designed beforehand. As we will demonstrate, such an approach, if additional gain correction is applied, allows for nearly optimal VFD filter design. Thus, the proposed approach combines window method simplicity with performance comparable to that of optimal filters. Efficiency of the presented technique makes it suitable for designing filters with varying delay in real time.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Nearly Optimal Fractional Delay Filter Design Using an Asymmetric Window

Sac¹,

Blok²

2011

International Journal of Electronics and Telecommunications

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“…However, independent from N, the performance degrades due Gibbs phenomena as the Nyquist frequency is approached [13]. The approximation of an ideal fractional delay can be improved by introducing a tapered winod [4], [7], such as a Hann window…”

Section: B Windowed Sinc Methodsmentioning

confidence: 99%

Filter bank based fractional delay filter implementation for widely accurate broadband steering vectors

Alrmah

Weiss

2013

2013 5th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)

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This version is available at https://strathprints.strath.ac.uk/46611/ Strathprints is designed to allow users to access the research output of the University of Strathclyde. Unless otherwise explicitly stated on the manuscript, Copyright © and Moral Rights for the papers on this site are retained by the individual authors and/or other copyright owners. Please check the manuscript for details of any other licences that may have been applied. You may not engage in further distribution of the material for any profitmaking activities or any commercial gain. You may freely distribute both the url (https://strathprints.strath.ac.uk/) and the content of this paper for research or private study, educational, or not-for-profit purposes without prior permission or charge.Any correspondence concerning this service should be sent to the Strathprints administrator: strathprints@strath.ac.ukThe Strathprints institutional repository (https://strathprints.strath.ac.uk) is a digital archive of University of Strathclyde research outputs. It has been developed to disseminate open access research outputs, expose data about those outputs, and enable the management and persistent access to Strathclyde's intellectual output. Abstract-Applications such as broadband angle of arrival estimation require the implementation of accurate broadband steering vectors, which generally rely on fractional delay filter designs. These designs commonly exhibit a rapidly decreasing performance as the Nyquist rate is approached. To overcome this, we propose a filter bank based approach, where standard fractional delay filters operate on a series of frequency-shifted oversampled subband signals, such that they appear in the filter's lowpass region. Simulations demonstrate the appeal of this approach.

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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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Gain deficit effect in the fractional delay filter design by the window method

Cited by 5 publications

References 0 publications

A Nearly Optimal Fractional Delay Filter Design Using an Asymmetric Window

A Nearly Optimal Fractional Delay Filter Design Using an Asymmetric Window

Filter bank based fractional delay filter implementation for widely accurate broadband steering vectors

Variable Fractional Delay Filter Design Using a Symmetric Window

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