Short‐critical‐path algorithm for allpass transform

Abstract Allpass transform is a key element of the discrete systems which produces signal processing in warped frequency domain. The paper presents a new short‐critical path algorithm for allpass transform, which essentially consists of calculating the outputs of allpass filters chain. The algorithm...

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Main Authors: Maxim I. Porhun, Maxim I. Vashkevich
Format: Article
Language:English
Published: Wiley 2023-10-01
Series:Electronics Letters
Subjects:
Online Access:https://doi.org/10.1049/ell2.12986
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author Maxim I. Porhun
Maxim I. Vashkevich
author_facet Maxim I. Porhun
Maxim I. Vashkevich
author_sort Maxim I. Porhun
collection DOAJ
description Abstract Allpass transform is a key element of the discrete systems which produces signal processing in warped frequency domain. The paper presents a new short‐critical path algorithm for allpass transform, which essentially consists of calculating the outputs of allpass filters chain. The algorithm is based on the proposed dual allpass filter structure, which computes the outputs of a cascade of two allpass filters in one computational pass. The dual allpass filter structure is obtained using the state variable representation of the allpass filter. The efficiency of the proposed algorithm is analyzed in the context of allpass transform implementation using a general purpose CPU. The results of the experiment show that the use of the proposed algorithm accelerates the calculation of the allpass transform by 1.81 times.
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spelling doaj.art-b2c3856455d84fbebdd1389822ccd1662023-10-29T15:08:29ZengWileyElectronics Letters0013-51941350-911X2023-10-015920n/an/a10.1049/ell2.12986Short‐critical‐path algorithm for allpass transformMaxim I. Porhun0Maxim I. Vashkevich1Belarusian State University of Informatics and Radioelectronics Minsk Republic of BelarusBelarusian State University of Informatics and Radioelectronics Minsk Republic of BelarusAbstract Allpass transform is a key element of the discrete systems which produces signal processing in warped frequency domain. The paper presents a new short‐critical path algorithm for allpass transform, which essentially consists of calculating the outputs of allpass filters chain. The algorithm is based on the proposed dual allpass filter structure, which computes the outputs of a cascade of two allpass filters in one computational pass. The dual allpass filter structure is obtained using the state variable representation of the allpass filter. The efficiency of the proposed algorithm is analyzed in the context of allpass transform implementation using a general purpose CPU. The results of the experiment show that the use of the proposed algorithm accelerates the calculation of the allpass transform by 1.81 times.https://doi.org/10.1049/ell2.12986all‐pass filterssignal processing
spellingShingle Maxim I. Porhun
Maxim I. Vashkevich
Short‐critical‐path algorithm for allpass transform
Electronics Letters
all‐pass filters
signal processing
title Short‐critical‐path algorithm for allpass transform
title_full Short‐critical‐path algorithm for allpass transform
title_fullStr Short‐critical‐path algorithm for allpass transform
title_full_unstemmed Short‐critical‐path algorithm for allpass transform
title_short Short‐critical‐path algorithm for allpass transform
title_sort short critical path algorithm for allpass transform
topic all‐pass filters
signal processing
url https://doi.org/10.1049/ell2.12986
work_keys_str_mv AT maximiporhun shortcriticalpathalgorithmforallpasstransform
AT maximivashkevich shortcriticalpathalgorithmforallpasstransform