In this paper we give a condition with respect to WalshαFourier coefficients that implies the L -convergence of the corresponding WalshαFourier series. We show 1 that the L -convergence class induced by this condition contains each one of the 1 previously known convergence classes as a proper subset
Recursive evaluation of walsh coefficients for multiple integrals of walsh series
β Scribed by E.V. Bohn
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 340 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0005-1098
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β¦ Synopsis
In
realtime data processing applications Walsh series have the computationally advantageous property that multiplication need not be performed in evaluation of Walsh coefficients for sampled continuous-time signals. In applications to the identification of dynamic systems, however, Walsh coefficients of integral functions of sampled data must be recursively evaluated by truncation of an infinite-dimensional operational matrix. A systematic study of error propagation associated with truncation is presented based on an analysis of the algebraic properties of the partitioned operational matrix and partitioned Walsh coefficient vectors.
π SIMILAR VOLUMES
An essentially best possible estimate for the order of magnitude of the integration error occurring by numerically integrating multivariate Walsh series in a prime power base b by means of digital (t, m, s)-nets constructed over the finite field β«ήβ¬ b is given.
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