Matches in SemOpenAlex for { <https://semopenalex.org/work/W294376905> ?p ?o ?g. }
Showing items 1 to 50 of
50
with 100 items per page.
- W294376905 abstract "Abstract : Three methods are proposed for representing randomly distributed data by a truncated Fourier series. These methods involve the use of: (1) a set of linear equations based on a simple least-squares approach; (2) empirical orthogonal functions derived by the Gram-Schmidt process; and (3) a step-by-step approach where each coefficient is solved independently by subtracting the contribution from previously computed coefficients. The methods are tested against a known function (finite cosine series) for different distributions of data and different truncation and simulated observation errors. Results show that if the empirical orthogonal functions are linear combinations of cosines, the Methods 1 and 2 yield identical coefficients. This offers two convenient methods for achieving the same goal, depending on the number of data points and the truncation. Results also indicate that Method 3 is not very sensitive to the number of data points or to their distributions while Methods 1 and 2 are, failing when the number of data points approaches the critical value for resolving the waves. (Author)" @default.
- W294376905 created "2016-06-24" @default.
- W294376905 creator A5047469603 @default.
- W294376905 date "1981-08-21" @default.
- W294376905 modified "2023-09-25" @default.
- W294376905 title "An Investigation of Three Methods for Spectral Representation of Randomly Distributed Data," @default.
- W294376905 doi "https://doi.org/10.21236/ada111854" @default.
- W294376905 hasPublicationYear "1981" @default.
- W294376905 type Work @default.
- W294376905 sameAs 294376905 @default.
- W294376905 citedByCount "0" @default.
- W294376905 crossrefType "report" @default.
- W294376905 hasAuthorship W294376905A5047469603 @default.
- W294376905 hasConcept C11413529 @default.
- W294376905 hasConcept C116409475 @default.
- W294376905 hasConcept C124101348 @default.
- W294376905 hasConcept C154945302 @default.
- W294376905 hasConcept C17744445 @default.
- W294376905 hasConcept C199539241 @default.
- W294376905 hasConcept C2776359362 @default.
- W294376905 hasConcept C33923547 @default.
- W294376905 hasConcept C41008148 @default.
- W294376905 hasConcept C94625758 @default.
- W294376905 hasConceptScore W294376905C11413529 @default.
- W294376905 hasConceptScore W294376905C116409475 @default.
- W294376905 hasConceptScore W294376905C124101348 @default.
- W294376905 hasConceptScore W294376905C154945302 @default.
- W294376905 hasConceptScore W294376905C17744445 @default.
- W294376905 hasConceptScore W294376905C199539241 @default.
- W294376905 hasConceptScore W294376905C2776359362 @default.
- W294376905 hasConceptScore W294376905C33923547 @default.
- W294376905 hasConceptScore W294376905C41008148 @default.
- W294376905 hasConceptScore W294376905C94625758 @default.
- W294376905 hasLocation W2943769051 @default.
- W294376905 hasOpenAccess W294376905 @default.
- W294376905 hasPrimaryLocation W2943769051 @default.
- W294376905 hasRelatedWork W1530777443 @default.
- W294376905 hasRelatedWork W1549289070 @default.
- W294376905 hasRelatedWork W1579351779 @default.
- W294376905 hasRelatedWork W2055387065 @default.
- W294376905 hasRelatedWork W2348097614 @default.
- W294376905 hasRelatedWork W2363235386 @default.
- W294376905 hasRelatedWork W2378404316 @default.
- W294376905 hasRelatedWork W3001095776 @default.
- W294376905 hasRelatedWork W303980170 @default.
- W294376905 hasRelatedWork W2175493522 @default.
- W294376905 isParatext "false" @default.
- W294376905 isRetracted "false" @default.
- W294376905 magId "294376905" @default.
- W294376905 workType "report" @default.