Design of Nonuniform Transmultiplexers with Block Samplers and Single-Input Single-Output Linear Time-Invariant Filters Based on Perfect Reconstruction Condition

© 2016, Springer Science+Business Media New York.This paper proposes a design of a nonuniform transmultiplexer with block samplers and single-input single-output linear time-invariant filters. First, the perfect reconstruction condition of the nonuniform transmultiplexer is derived. Then, the design...

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Main Authors: Liu, Q., Ling, B., Dai, Q., Yang, Z., Wu, Changzhi, Wang, X.
Format: Journal Article
Published: Birkhauser 2016
Online Access:http://hdl.handle.net/20.500.11937/11605
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author Liu, Q.
Ling, B.
Dai, Q.
Yang, Z.
Wu, Changzhi
Wang, X.
author_facet Liu, Q.
Ling, B.
Dai, Q.
Yang, Z.
Wu, Changzhi
Wang, X.
author_sort Liu, Q.
building Curtin Institutional Repository
collection Online Access
description © 2016, Springer Science+Business Media New York.This paper proposes a design of a nonuniform transmultiplexer with block samplers and single-input single-output linear time-invariant filters. First, the perfect reconstruction condition of the nonuniform transmultiplexer is derived. Then, the design problem is formulated as an optimization problem. In particular, the perfect reconstruction error is minimized in the L1 norm sense subject to the frequency selectivities of the filters. Computer numerical simulation results show that the designed nonuniform transmultiplexer with block samplers is robust to the channel noise and achieves a small reconstruction error.
first_indexed 2025-11-14T06:55:42Z
format Journal Article
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institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T06:55:42Z
publishDate 2016
publisher Birkhauser
recordtype eprints
repository_type Digital Repository
spelling curtin-20.500.11937-116052017-09-13T14:58:46Z Design of Nonuniform Transmultiplexers with Block Samplers and Single-Input Single-Output Linear Time-Invariant Filters Based on Perfect Reconstruction Condition Liu, Q. Ling, B. Dai, Q. Yang, Z. Wu, Changzhi Wang, X. © 2016, Springer Science+Business Media New York.This paper proposes a design of a nonuniform transmultiplexer with block samplers and single-input single-output linear time-invariant filters. First, the perfect reconstruction condition of the nonuniform transmultiplexer is derived. Then, the design problem is formulated as an optimization problem. In particular, the perfect reconstruction error is minimized in the L1 norm sense subject to the frequency selectivities of the filters. Computer numerical simulation results show that the designed nonuniform transmultiplexer with block samplers is robust to the channel noise and achieves a small reconstruction error. 2016 Journal Article http://hdl.handle.net/20.500.11937/11605 10.1007/s00034-015-0238-7 Birkhauser restricted
spellingShingle Liu, Q.
Ling, B.
Dai, Q.
Yang, Z.
Wu, Changzhi
Wang, X.
Design of Nonuniform Transmultiplexers with Block Samplers and Single-Input Single-Output Linear Time-Invariant Filters Based on Perfect Reconstruction Condition
title Design of Nonuniform Transmultiplexers with Block Samplers and Single-Input Single-Output Linear Time-Invariant Filters Based on Perfect Reconstruction Condition
title_full Design of Nonuniform Transmultiplexers with Block Samplers and Single-Input Single-Output Linear Time-Invariant Filters Based on Perfect Reconstruction Condition
title_fullStr Design of Nonuniform Transmultiplexers with Block Samplers and Single-Input Single-Output Linear Time-Invariant Filters Based on Perfect Reconstruction Condition
title_full_unstemmed Design of Nonuniform Transmultiplexers with Block Samplers and Single-Input Single-Output Linear Time-Invariant Filters Based on Perfect Reconstruction Condition
title_short Design of Nonuniform Transmultiplexers with Block Samplers and Single-Input Single-Output Linear Time-Invariant Filters Based on Perfect Reconstruction Condition
title_sort design of nonuniform transmultiplexers with block samplers and single-input single-output linear time-invariant filters based on perfect reconstruction condition
url http://hdl.handle.net/20.500.11937/11605