Ramanujan sums for signal processing of low frequency noise
作者： M. Planat
DOI: 10.1109/FREQ.2002.1075974
关键词:
摘要: An aperiodic (low frequency) spectrum may originate from the error term in mean value of an arithmetical function such as Mobius or Mangoldt function, which are coding sequences for prime numbers. In discrete Fourier transform (and FFT) analyzing wave is periodic and not well suited to represent low frequency regime. its place we introduce a new signal processing tool based on Ramanujan SUMS c/sub q/(n), adapted analysis with many resonances p/q. The sums quasiperiodic versus time n resonance order q resonance. New results arise use this Ramanujan-Fourier (RFT) context experimental signals.
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