Comments on "Harmonic analysis of periodic discontinuous functions"

In his recent letter, Slonim has concluded that piecewise polynomials approximating actual functions can give more accurate results than computer methods like (FFT's). Contrary to this conclusion this letter reveals the generation of spurious harmonics by such approximating polynomials due to d...

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Bibliographic Details
Published inProceedings of the IEEE Vol. 68; no. 7; pp. 930 - 931
Main Authors Sriram, S., Slonim, M.A.
Format Journal Article
LanguageEnglish
Published IEEE 01.07.1980
Subjects
Bandwidth
Computer errors
Electronic circuits
Fast Fourier transforms
Harmonic analysis
Polynomials
Research and development
Sampling methods
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Summary:In his recent letter, Slonim has concluded that piecewise polynomials approximating actual functions can give more accurate results than computer methods like (FFT's). Contrary to this conclusion this letter reveals the generation of spurious harmonics by such approximating polynomials due to discontinuities of approximating functions and inherent advantage of FFT approximations because of their band limiting capabilities.
ISSN:0018-9219
1558-2256
DOI:10.1109/PROC.1980.11758