Results 261 to 270 of about 1,582,878 (315)

Discrete Convolution Sum

Engineering Mathematics by Example, 2021
R. Sobot
semanticscholar   +4 more sources

Distributional Behavior of Convolution Sum System Representations

IEEE Transactions on Signal Processing, 2018
In this paper, we study the validity of the usual convolution sum sampling representation of linear time-invariant (LTI) systems. We consider continuous input signals with finite energy that are absolutely integrable and vanish at infinity.
H. Boche, U. Mönich
semanticscholar   +3 more sources

A shifted convolution sum for \mathrm{GL}(3) × \mathrm{GL}(2)

Forum Mathematicum, 2018
In this paper, we estimate the shifted convolution sum \sum_{n\geqslant 1}\lambda_{1}(1,n)\lambda_{2}(n+h)V\Big{(}\frac{n}{X ...
Ping Xi
semanticscholar   +3 more sources

Non-Existence of Convolution Sum System Representations

IEEE Transactions on Signal Processing, 2019
Convolution sum system representations are commonly used in signal processing. It is known that the convolution sum, treated as the limit of its partial sums, can be divergent for certain continuous signals and stable linear time-invariant (LTI) systems,
H. Boche, U. Mönich, B. Meinerzhagen
semanticscholar   +3 more sources

The Gaussian-Lorentzian Sum, Product, and Convolution (Voigt) functions in the context of peak fitting X-ray photoelectron spectroscopy (XPS) narrow scans

Applied Surface Science, 2018
X-ray photoelectron spectroscopy (XPS) is arguably the most important vacuum technique for surface chemical analysis, and peak fitting is an indispensable part of XPS data analysis.
Varun Jain, M. Biesinger, M. Linford
semanticscholar   +3 more sources

The Convolution Sum ∑m

British Journal of Mathematics & Computer Science, 2014
Aeran Kim
semanticscholar   +2 more sources

Evaluation of a certain combinatorial convolution sum in higher level cases

Journal of Mathematical Analysis and Applications, 2013
Bumkyu Cho, Daeyeoul Kim, Ho Park
semanticscholar   +3 more sources

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