The frequency transformation by matrix operation and its application in IIR filters design

Konopacki, J.

doi:10.1109/lsp.2004.839694

Cited by 18 publications

(12 citation statements)

References 3 publications

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“…Finally, we calculate the remaining elements by When it comes to designing digital high-pass filters or band-pass filters with the same cut-off or center frequency, Psenicka et al (2002) and Konopacki (2005), the elements inside the Pascal matrix have to be changed. According to the filter design by Pradabpet et al (2003), it is found that the poles of the band-pass filter can be placed at the same position as those of the low-pass filter if the center frequency of a band-pass filter equals the cut-off frequency of a lowpass filter.…”

Section: Determination Of the Denominatormentioning

confidence: 99%

“…One of the most efficient methods is the bilinear transformation, a design procedure which has been simplified by utilizing the Pascal matrix (Psenicka et al, 2002;Konopacki, 2005). As an alternative to the modification of traditional design procedures, the pole-zero placement techniques (Pradabpet et al, 2003;Waterschoot, Moonen, 2007) enable people to design biquad filters in the digital domain.…”

Section: Introductionmentioning

confidence: 99%

“…Numerical examples of fourth-order infinite impulse response (IIR) filters are demonstrated in this paper. Also, it presents fewer matrix operations and a more intuitive approach than the full Pascal matrix approaches (Psenicka et al, 2002;Konopacki, 2005). …”

Section: Introductionmentioning

confidence: 99%

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Driver Filter Design for Software-Implemented Loudspeaker Crossovers

Yao

2015

Archives of Acoustics

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A hybrid method is presented for the integration of low-, mid-, and high-frequency driver filters in loudspeaker crossovers. The Pascal matrix is exploited to calculate denominators; the locations of minimum values in frequency magnitude responses are associated with the forms of numerators; the maximum values are used to compute gain factors. The forms of the resulting filters are based on the physical meanings of low-pass, band-pass, and high-pass filters, an intuitive idea which is easy to be understood. Moreover, each coefficient is believed to be simply calculated, an advantage which keeps the softwareimplemented crossover running smoothly even if crossover frequencies are being changed in real time. This characteristic allows users to efficiently adjust the bandwidths of the driver filters by subjective listening tests if objective measurements of loudspeaker parameters are unavailable. Instead of designing separate structures for a low-, mid-, and high-frequency driver filter, by using the proposed techniques we can implement one structure which merges three types of digital filters. Not only does the integration architecture operate with low computational cost, but its size is also compact. Design examples are included to illustrate the effectiveness of the presented methodology.

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Section: Determination Of the Denominatormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Driver Filter Design for Software-Implemented Loudspeaker Crossovers

Yao

2015

Archives of Acoustics

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“…FPN is a good modeling tool of the knowledge system that is based on the Fuzzy Production Rules (FPRs), since FPN was put forward, scholars at home and abroad have carried out thorough and in-depth research on the knowledge representation and reasoning method that is based on FPN (Konopacki, 2005); Kawase, Newsome and Inoue, 2002;Li, Liu, Shao and Yin, 1995). The representation and reasoning algorithm of the knowledge that is based on FPN introduces the weight value into the FPN, and puts forward the Weighted Fuzzy Petri Nets (WFPN) (Kramers and Wannier, 1941).…”

Section: Introductionmentioning

confidence: 99%

Petri Nets Model Based on Matrix Operation

2016

Rev. Téc. Ing. Univ. Zulia

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In view of the issue of the single membership grade that exists in the fuzzy Petri nets(FPN), with the combination of the matrix computation and Petri nets theory, the Matrix Operation Petri Nets (MOPN) model is constructed and applied for the representation and reasoning of the knowledge. Firstly the MOPN model is constructed, and applied to the representation of the knowledge, and through the introduction of the inhibition transition arc in the model, the issue of the representation of the negative proposition is solved. Secondly, the MOPN reasoning algorithm is put forward, and by the modification of the transfer rules of the token value after the transitioning and triggering, it has solved the issue of the retention of the fact in the process of reasoning. Finally, the reasoning algorithm is analyzed, and examples are provided to validate the feasibility of the proposed MOPN model and its inference algorithm, the results show that the MOPN is an effective expansion and development of FPN, and its description of the reasoning result is more delicate and comprehensive.

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“…The Pascal matrix arises in applications such as in biomial expansion, Filter design [1,4], probability, combinatorics, linear algebra [9], electrical engineering [13] and order statistics [14], etc. In recent years, the linear systems of equations with coefficient matrices of Pascal type have been quietly investigated in different fields of applied linear algebra, for instance, [2,5,11,15].…”

Section: Introductionmentioning

confidence: 99%