Premium
Smoothing over the intervals of orthogonally sampled signals
Author(s) -
Halpern Peter H.,
Mallory Peter E.
Publication year - 1985
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.4490130405
Subject(s) - sine , smoothing , fourier series , signal (programming language) , representation (politics) , harmonics , algorithm , harmonic , mathematics , fourier transform , series (stratigraphy) , expression (computer science) , computer science , mathematical analysis , statistics , acoustics , engineering , paleontology , physics , geometry , voltage , politics , political science , law , biology , programming language , electrical engineering
A method for smoothing and interpolating a Fourier sine series representation of a continuous signal is developed to take advantage of the relative ease with which since pulse forming networks can be built. With this method it is possible both to accurately approximate the signal at the points where the sine harmonics are all zero and to smooth the signal. A method is also developed to combat round‐off error in the extraction of the harmonic coefficients, and an expression is derived for the maximum error in the representation. Finally, examples are presented to show the effectiveness of this method.