In this paper, new wavelet bases are presented. We address problems associated with the proposed matched filter in multirate systems, using an optimum receiver that maximises the SNR at the sampling instant. To satisfy the Nyquist (ISI-free transmission) and matched filter (maximum SNR at the sampling instant) criteria, the overall system filtering strategy requires to split the narrowest filter equally between transmitter and receiver. In data transmission systems a raised-cosine filter is therefore often used to bandlimit signals from which wavelet bases are derived. Sampling in multiresolution subspaces is also discussed.
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Achim GOTTSCHEBER, Akinori NISHIHARA, "Wavelet Bases Obtained from the Raised-Cosine Filter" in IEICE TRANSACTIONS on Fundamentals,
vol. E80-A, no. 1, pp. 126-132, January 1997, doi: .
Abstract: In this paper, new wavelet bases are presented. We address problems associated with the proposed matched filter in multirate systems, using an optimum receiver that maximises the SNR at the sampling instant. To satisfy the Nyquist (ISI-free transmission) and matched filter (maximum SNR at the sampling instant) criteria, the overall system filtering strategy requires to split the narrowest filter equally between transmitter and receiver. In data transmission systems a raised-cosine filter is therefore often used to bandlimit signals from which wavelet bases are derived. Sampling in multiresolution subspaces is also discussed.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e80-a_1_126/_p
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@ARTICLE{e80-a_1_126,
author={Achim GOTTSCHEBER, Akinori NISHIHARA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Wavelet Bases Obtained from the Raised-Cosine Filter},
year={1997},
volume={E80-A},
number={1},
pages={126-132},
abstract={In this paper, new wavelet bases are presented. We address problems associated with the proposed matched filter in multirate systems, using an optimum receiver that maximises the SNR at the sampling instant. To satisfy the Nyquist (ISI-free transmission) and matched filter (maximum SNR at the sampling instant) criteria, the overall system filtering strategy requires to split the narrowest filter equally between transmitter and receiver. In data transmission systems a raised-cosine filter is therefore often used to bandlimit signals from which wavelet bases are derived. Sampling in multiresolution subspaces is also discussed.},
keywords={},
doi={},
ISSN={},
month={January},}
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TY - JOUR
TI - Wavelet Bases Obtained from the Raised-Cosine Filter
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 126
EP - 132
AU - Achim GOTTSCHEBER
AU - Akinori NISHIHARA
PY - 1997
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E80-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 1997
AB - In this paper, new wavelet bases are presented. We address problems associated with the proposed matched filter in multirate systems, using an optimum receiver that maximises the SNR at the sampling instant. To satisfy the Nyquist (ISI-free transmission) and matched filter (maximum SNR at the sampling instant) criteria, the overall system filtering strategy requires to split the narrowest filter equally between transmitter and receiver. In data transmission systems a raised-cosine filter is therefore often used to bandlimit signals from which wavelet bases are derived. Sampling in multiresolution subspaces is also discussed.
ER -