Analysis of root displacement interpolation method for tunable allpass fractional-delay filters

被引：9

作者：

Hacihabiboglu, Hueseyin ^{[1
]}

Guenel, Banu ^{[1
]}

Kondoz, Ahmet M. ^{[1
]}

机构：

[1] Univ Surrey, Ctr Commun Syst Res, I Lab, Surrey GU27XH, England

来源：

IEEE TRANSACTIONS ON SIGNAL PROCESSING | 2007年 / 55卷 / 10期

基金：

英国工程与自然科学研究理事会;

关键词：

allpass systems; audio signal processing; filter interpolation; fractional delay filters; transients; tunable filters;

D O I：

10.1109/TSP.2007.897916

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

One of the simplest ways of designing allpass fractional-delay filters with maximally fiat group delays is by using the Thiran approximation by which the filter coefficients are calculated using a closed-form equation. However, due to the number of multiplications and divisions involved, the calculation of these coefficients is a computationally costly task and is not suitable for real-time applications. The analysis of a root-displacement-based interpolation method used in allpass tunable fractional delays is presented in this paper. The method allows continuous adjustments of the approximated fractional delay without the explicit calculation of a new set of filter coefficients. The transient error observed at the output due to the change of filter coefficients is analyzed. The direct and cascade implementations are compared with respect to their transient errors. An example application of the proposed method from the field of model-based sound synthesis is given.

引用

页码：4896 / 4906

页数：11

共 28 条

[1]

Abramowitz M., 1970, HDB MATH FUNCTIONS

[2]

FARROW CW, 1988, P IEEE INT S CIRC SY, P2641

[3] SIMPLE DESIGN OF MAXIMALLY FLAT DELAY DIGITAL FILTERS [J].

FETTWEIS, A .

IEEE TRANSACTIONS ON AUDIO AND ELECTROACOUSTICS, 1972, AU20 (02) :112-&

[4]

GONCHAROFF V, 1995, P 1995 IEEE INT C AC

[5] Head-related transfer function filter interpolation by root displacement [J].

Hacihabiboglu, H ;

Günel, B ;

Kondoz, AM .

2005 WORKSHOP ON APPLICATIONS OF SIGNAL PROCESSING TO AUDIO AND ACOUSTICS (WASPAA), 2005, :134-137

[6]

HACIHABIBOGLU H, 2006, P 2006 IEEE INT C AC

[7] DESIGN OF FIR FIRST-ORDER DIGITAL DIFFERENTIATORS OF VARIABLE FRACTIONAL SAMPLE DELAY USING MAXIMALLY FLAT ERROR CRITERION [J].

HERMANOWICZ, E ;

ROJEWSKI, M .

ELECTRONICS LETTERS, 1994, 30 (01) :17-18

[8] EXPLICIT FORMULAS FOR WEIGHTING COEFFICIENTS OF MAXIMALLY FLAT TUNABLE FIR DELAYERS [J].

HERMANOWICZ, E .

ELECTRONICS LETTERS, 1992, 28 (20) :1936-1937

[9]

Laakso TI, 1996, IEEE SIGNAL PROC MAG, V13, P30, DOI 10.1109/79.482137

[10] Energy-based effective length of the impulse response of a recursive filter [J].

Laakso, TI ;

Välimäki, V .

IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT, 1999, 48 (01) :7-17

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