Optimizing the Numerical Noise of Parallel Second-Order Filters in Fixed-Point Arithmetic

Horváth, Kristóf; Bank, Balázs

doi:10.17743/jaes.2019.0027

Cited by 4 publications

(2 citation statements)

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“…is the TV stream. TV flow is stable and has a globally optimal solution, a diffusion function between forwarding and reverse diffusion [4]. We can get a better diffusion process and image edge information preservation effect.…”

Section: Research On Mixed Noise Denoising Based On Fractional Differ...mentioning

confidence: 95%

Model System Study of Accordion Score Based on Fractional Differential Equations

Liu

2022

Applied Mathematics and Nonlinear Sciences

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The melody feature mining of accordion scores is a relatively unpopular research topic. We discuss music's harmony configuration, chord configuration, and accompaniment configuration based on fractional differential equations. The algorithm builds a model for automatically generating pitch-melody meta-translation tables. At the same time, the automation of essential data acquisition is realized. The study found that when we input a long sequence of pitch values, the excavated melody line The experimental results show that the accordion score of a fractional differential equation can improve the logical rigor and beauty of the melody compared with the Markov composition method.

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Section: Research On Mixed Noise Denoising Based On Fractional Differ...mentioning

confidence: 95%

Model System Study of Accordion Score Based on Fractional Differential Equations

Liu

2022

Applied Mathematics and Nonlinear Sciences

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“…On the other hand, when a linear-phase response is desired, FIR filters may be used [3], because they can have an arbitrary phase response. An PAPERS additional advantage of FIR filters is that they do not suffer from numerical problems, which may require attention in IIR filter implementations [16]. Digital FIR GEQs have existed since the 1980s [17][18][19], and similarly to IIR GEQs, the parallel structure is an option [17,18,20].…”

Section: Introductionmentioning

confidence: 99%

Linear-Phase Octave Graphic Equalizer

Bruschi¹,

Välimäki²,

Liski³

et al. 2022

J. Audio Eng. Soc.

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A computationally efficient octave-band graphic equalizer having a linear-phase response is introduced. The linear-phase graphic equalizer is useful in audio applications in which phase distortion is not tolerated, such as in multichannel equalization, parallel processing, phase compatibility of audio equipment, and crossover network design. The structure is based on the interpolated finite impulse response (IFIR) philosophy. The proposed octave-band graphic equalizer uses one prototype low-pass filter, which is a half-band FIR filter designed using the window method. Stretched versions of the prototype filter and its complementary high-pass filter implement all ten band filters needed. The graphic equalizer is realized in the parallel form, in which the outputs of all band filters, scaled with their individual command gain, are added to compute the equalized output signal. The command gains can be used directly as filter band gains. The number of operations needed per sample is only slightly more than that needed for the graphic equalizer based on minimum-phase recursive filters. A comparison with other implementation approaches demonstrates that the proposed structure requires 99% fewer operations than a high-order FIR filter. The proposed filter uses 39% fewer operations per sample than the fast Fourier transform-based filtering method and causes over 78% less latency.

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