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Summary: Electr Eng (2008) 90:455467
DOI 10.1007/s00202-007-0092-0
ORIGINAL PAPER
Al-Alaoui operator and the new transformation polynomials
for discretization of analogue systems
Mohamad Adnan Al-Alaoui
Received: 22 August 2007 / Accepted: 1 December 2007 / Published online: 8 January 2008
© Springer-Verlag 2007
Abstract The"newtransformationpolynomialsfordiscret-
ization of analogue systems" was recently introduced. The
work proposes that the discretization of 1/sn should be done
independently rather than by raising the discrete representa-
tion of 1/s to the power n. Several examples are given in to
back this idea. In this paper it is shown that the "new transfor-
mation polynomials for discretization of analogue systems"
is exactly the same as the parameterized Al-Alaoui opera-
tor. In the following sections, we will show that the same
results could be obtained with the parameterized Al-Alaoui
operator.
Keywords Al-Alaoui operator · Digital filters ·
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