2021 IEEE International Symposium on Circuits and Systems (ISCAS) 2021
DOI: 10.1109/iscas51556.2021.9401592
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Design of Orthogonal Wavelet Filters with Minimum RMS Bandwidth Using A Symbolic Approach

Abstract: Filterbanks have many applications. The orthogonal wavelet filter is widely used in filterbank design because of its advantage in energy preservation. In this work, the orthogonal wavelet filter with a given length and a prescribed number of Vanishing Moment (VM) is designed to achieve minimum Root-Mean-Square (RMS) bandwidth by using a symbolic approach.

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Cited by 2 publications
(4 citation statements)
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“…There are two ways to improve the bandwidth: using symbolic methods or solving a constrained optimization problem. This problem can be transformed into a convex optimization problem, specifically a semidefinite programming (SDP) problem, that enforces nonnegativity constraints during optimization [40], [41], [42].…”
Section: B Orthogonal Filter Bank and Wavelet Decompositionmentioning
confidence: 99%
“…There are two ways to improve the bandwidth: using symbolic methods or solving a constrained optimization problem. This problem can be transformed into a convex optimization problem, specifically a semidefinite programming (SDP) problem, that enforces nonnegativity constraints during optimization [40], [41], [42].…”
Section: B Orthogonal Filter Bank and Wavelet Decompositionmentioning
confidence: 99%
“…This study is accomplished using the public CAP sleep database, which contains nightlong sleep polysomnographic (PSG) recordings of 108 subjects logged at the Sleep Disorders Center of the Ospedale Maggiore of Parma, Italy. The database contains recordings of 16 healthy subjects and patients suffering from insomnia (9), narcolepsy (5), nocturnal frontal lobe epilepsy (40), periodic leg movement (10), REM behavious disorder (22), and sleep-disordered breathing (4). Each PSG recording contains multiple channels including EEG, electrocardiogram (ECG), electromyogram (EMG), electrooculogram (EOG), SpO2 and respiratory signals.…”
Section: Materials Usedmentioning
confidence: 99%
“…Among these filter banks, the orthogonal filter bank is remarkable due to its advantage of energy preservation [37][38][39]. In this study, we have used the orthogonal wavelet filter with minimum root-mean-square (RMS) bandwidth [40][41][42]. Generally, equiripple filter method and band-energy minimization method are used to achieve sharper roll-off.…”
Section: Orthogonal Filter Bank and Wavelet Decompositionmentioning
confidence: 99%
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