ON DETERMINING THE MEAN SQUARE ERROR OF INTERPOLATION DURING THE DISCRETE MEASUREMENT OF RANDOM SIGNALS,
Abstract
An equation was derived which, as an extremely common result, makes it possible to determine the mean-square error in discrete measurement in any frequency bands and with any forms of interpolation, for which the analytic expression of the corresponding transfer function can be obtained. The possibility of approximate application methods of the mean-square error expression were considered; the most evident approximation (and one which considerably facilitates the calculation of this expression in practical cases) is the substitution of the real spectral density of the signal by a uniform spectrum in a band with an upper limiting frequency of a max. The possibility of the practical application of this approximation and its effect on the result obtained were investigated on the basis of a concrete interpolation form, for which, using expression (2), the theoretical dependence of the mean-square error on the reading frequency with a signal of uniform spectrum was determined. Stepwise interpolation was considered. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 18, 1967
- Accession Number
- AD0660738
Entities
People
- Yu. M. Bykov
Organizations
- National Air and Space Intelligence Center