A Simple Scheme of Decomposing and Reconstructing Continuous-Time Signals by B-Splines

Koichi ICHIGE; Masaru KAMADA; Rokuya ISHII

A Simple Scheme of Decomposing and Reconstructing Continuous-Time Signals by B-Splines

Koichi ICHIGE, Masaru KAMADA, Rokuya ISHII

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An approximate scheme for decomposing and reconstructing a continuous-time signal as a linear combination of the B-splines is studied. It is an oversampling discrete-time implementation derived by substituting the multifold RRS functions for the B-splines. The RRS functions are multifold discrete convolution of the sampled rectangular functions. Analysis of the scheme yields conditions for the circuit parameters to assure stability and required precision. A design example is presented that makes the error less than 1% in the supremal norm by the oversampling ratio of 512. Its numerical simulation is also presented.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E81-A No.11 pp.2391-2399

Publication Date: 1998/11/25

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Category: Digital Signal Processing

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Koichi ICHIGE, Masaru KAMADA, Rokuya ISHII, "A Simple Scheme of Decomposing and Reconstructing Continuous-Time Signals by B-Splines" in IEICE TRANSACTIONS on Fundamentals, vol. E81-A, no. 11, pp. 2391-2399, November 1998, doi: .
Abstract: An approximate scheme for decomposing and reconstructing a continuous-time signal as a linear combination of the B-splines is studied. It is an oversampling discrete-time implementation derived by substituting the multifold RRS functions for the B-splines. The RRS functions are multifold discrete convolution of the sampled rectangular functions. Analysis of the scheme yields conditions for the circuit parameters to assure stability and required precision. A design example is presented that makes the error less than 1% in the supremal norm by the oversampling ratio of 512. Its numerical simulation is also presented.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/e81-a_11_2391/_p

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@ARTICLE{e81-a_11_2391,
author={Koichi ICHIGE, Masaru KAMADA, Rokuya ISHII, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Simple Scheme of Decomposing and Reconstructing Continuous-Time Signals by B-Splines},
year={1998},
volume={E81-A},
number={11},
pages={2391-2399},
abstract={An approximate scheme for decomposing and reconstructing a continuous-time signal as a linear combination of the B-splines is studied. It is an oversampling discrete-time implementation derived by substituting the multifold RRS functions for the B-splines. The RRS functions are multifold discrete convolution of the sampled rectangular functions. Analysis of the scheme yields conditions for the circuit parameters to assure stability and required precision. A design example is presented that makes the error less than 1% in the supremal norm by the oversampling ratio of 512. Its numerical simulation is also presented.},
keywords={},
doi={},
ISSN={},
month={November},}

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TY - JOUR
TI - A Simple Scheme of Decomposing and Reconstructing Continuous-Time Signals by B-Splines
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2391
EP - 2399
AU - Koichi ICHIGE
AU - Masaru KAMADA
AU - Rokuya ISHII
PY - 1998
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E81-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 1998
AB - An approximate scheme for decomposing and reconstructing a continuous-time signal as a linear combination of the B-splines is studied. It is an oversampling discrete-time implementation derived by substituting the multifold RRS functions for the B-splines. The RRS functions are multifold discrete convolution of the sampled rectangular functions. Analysis of the scheme yields conditions for the circuit parameters to assure stability and required precision. A design example is presented that makes the error less than 1% in the supremal norm by the oversampling ratio of 512. Its numerical simulation is also presented.
ER -