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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Recovering signals from inner products involving prolate spheroidals in the presence of jitter
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by Dorota Da̧browska PDF
Math. Comp. 74 (2005), 279-290 Request permission


The paper deals with recovering band- and energy-limited signals from a finite set of perturbed inner products involving the prolate spheroidal wavefunctions. The measurement noise (bounded by $\delta$) and jitter meant as perturbation of the ends of the integration interval (bounded by $\gamma$) are considered. The upper and lower bounds on the radius of information are established. We show how the error of the best algorithms depends on $\gamma$ and $\delta$. We prove that jitter causes error of order $\Omega ^{\frac {3}{2}}\gamma$, where $[-\Omega ,\Omega ]$ is a bandwidth, which is similar to the error caused by jitter in the case of recovering signals from samples.
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Additional Information
  • Dorota Da̧browska
  • Affiliation: Faculty of Mathematics and Science, Cardinal Stefan Wyszyński University in Warsaw, ul. Dewajtis 5, 01-815 Warsaw, Poland
  • Email:
  • Received by editor(s): July 19, 2002
  • Received by editor(s) in revised form: June 2, 2003
  • Published electronically: April 16, 2004
  • © Copyright 2004 American Mathematical Society
  • Journal: Math. Comp. 74 (2005), 279-290
  • MSC (2000): Primary 68Q17, 94A12, 94A11; Secondary 94A20, 65G99
  • DOI:
  • MathSciNet review: 2085411