The Experts below are selected from a list of 1932 Experts worldwide ranked by ideXlab platform
Balazs Bank - One of the best experts on this subject based on the ideXlab platform.
-
converting series biquad filters into delayed parallel form application to graphic equalizers
IEEE Transactions on Signal Processing, 2019Co-Authors: Juho Liski, Balazs Bank, Julius O Smith, Vesa ValimakiAbstract:Digital filter transfer functions can be converted between the direct form and parallel connections of elementary sections, typically second-order (“biquad”) sections. The conversion from direct to parallel form is performed using a Partial Fraction Expansion, which usually requires long division of polynomials when expanding proper and improper transfer functions. This paper focuses on the conversion of a series of biquad sections to the parallel form, and proposes a novel way to implement the Partial-Fraction Expansion without the use of long division. Additionally, the resulting structure is the delayed parallel form in which the section gains remain small. The new design and previous methods are compared in a case study on graphic equalizer design. The delayed parallel filter is shown to use the same number of operations as the series form during filtering. The conversion of a recently proposed series graphic equalizer into the delayed parallel form leads to an improved parallel graphic equalizer design relative to all known prior approaches. The proposed conversion technique is widely applicable to the design of parallel infinite impulse response filters, which are becoming popular as they are well suited to implementation using parallel computers.
-
converting infinite impulse response filters to parallel form tips tricks
IEEE Signal Processing Magazine, 2018Co-Authors: Balazs BankAbstract:Discrete-time rational transfer functions are often converted to parallel second-order sections due to better numerical performance compared to direct form infinite impulse response (IIR) implementations. This is usually done by performing Partial Fraction Expansion over the original transfer function. When the order of the numerator polynomial is greater or equal to that of the denominator, polynomial long division is applied before Partial Fraction Expansion resulting in a parallel finite impulse response (FIR) path.
Vesa Valimaki - One of the best experts on this subject based on the ideXlab platform.
-
converting series biquad filters into delayed parallel form application to graphic equalizers
IEEE Transactions on Signal Processing, 2019Co-Authors: Juho Liski, Balazs Bank, Julius O Smith, Vesa ValimakiAbstract:Digital filter transfer functions can be converted between the direct form and parallel connections of elementary sections, typically second-order (“biquad”) sections. The conversion from direct to parallel form is performed using a Partial Fraction Expansion, which usually requires long division of polynomials when expanding proper and improper transfer functions. This paper focuses on the conversion of a series of biquad sections to the parallel form, and proposes a novel way to implement the Partial-Fraction Expansion without the use of long division. Additionally, the resulting structure is the delayed parallel form in which the section gains remain small. The new design and previous methods are compared in a case study on graphic equalizer design. The delayed parallel filter is shown to use the same number of operations as the series form during filtering. The conversion of a recently proposed series graphic equalizer into the delayed parallel form leads to an improved parallel graphic equalizer design relative to all known prior approaches. The proposed conversion technique is widely applicable to the design of parallel infinite impulse response filters, which are becoming popular as they are well suited to implementation using parallel computers.
Juho Liski - One of the best experts on this subject based on the ideXlab platform.
-
converting series biquad filters into delayed parallel form application to graphic equalizers
IEEE Transactions on Signal Processing, 2019Co-Authors: Juho Liski, Balazs Bank, Julius O Smith, Vesa ValimakiAbstract:Digital filter transfer functions can be converted between the direct form and parallel connections of elementary sections, typically second-order (“biquad”) sections. The conversion from direct to parallel form is performed using a Partial Fraction Expansion, which usually requires long division of polynomials when expanding proper and improper transfer functions. This paper focuses on the conversion of a series of biquad sections to the parallel form, and proposes a novel way to implement the Partial-Fraction Expansion without the use of long division. Additionally, the resulting structure is the delayed parallel form in which the section gains remain small. The new design and previous methods are compared in a case study on graphic equalizer design. The delayed parallel filter is shown to use the same number of operations as the series form during filtering. The conversion of a recently proposed series graphic equalizer into the delayed parallel form leads to an improved parallel graphic equalizer design relative to all known prior approaches. The proposed conversion technique is widely applicable to the design of parallel infinite impulse response filters, which are becoming popular as they are well suited to implementation using parallel computers.
A M Davis - One of the best experts on this subject based on the ideXlab platform.
-
a simple way of obtaining the reduced jordan form of a state equation
IEEE Transactions on Education, 2004Co-Authors: A M DavisAbstract:This paper presents a succinct and entirely elementary method for determining a minimal Jordan form of a given state equation. It is constructive and is based upon the idea of grouping terms appropriately in the Partial Fraction Expansion. The method is highly suited to presentation in classes in linear systems and control theory, offering a good pedagogical introduction to the topic of Jordan equivalent matrices, although it is not suggested as an efficient computational tool.
Julius O Smith - One of the best experts on this subject based on the ideXlab platform.
-
converting series biquad filters into delayed parallel form application to graphic equalizers
IEEE Transactions on Signal Processing, 2019Co-Authors: Juho Liski, Balazs Bank, Julius O Smith, Vesa ValimakiAbstract:Digital filter transfer functions can be converted between the direct form and parallel connections of elementary sections, typically second-order (“biquad”) sections. The conversion from direct to parallel form is performed using a Partial Fraction Expansion, which usually requires long division of polynomials when expanding proper and improper transfer functions. This paper focuses on the conversion of a series of biquad sections to the parallel form, and proposes a novel way to implement the Partial-Fraction Expansion without the use of long division. Additionally, the resulting structure is the delayed parallel form in which the section gains remain small. The new design and previous methods are compared in a case study on graphic equalizer design. The delayed parallel filter is shown to use the same number of operations as the series form during filtering. The conversion of a recently proposed series graphic equalizer into the delayed parallel form leads to an improved parallel graphic equalizer design relative to all known prior approaches. The proposed conversion technique is widely applicable to the design of parallel infinite impulse response filters, which are becoming popular as they are well suited to implementation using parallel computers.
