Harmonic Sliding Analysis Problems

Harmonic sliding analysis (HSA) is a dynamic spectrum analysis [1] in which the next analysis interval differs from the previous one by including the next signal sample and excluding the first one from the previous analysis interval. Such a harmonic analysis is necessary for time-frequency localization [2] of analysed signal given peculiarities. Using the well-known Fast Fourier transform (FFT) is not effective in this context. More effective are known recursive algorithms which use only one complex multiplication for computing one harmonic during each analysis interval. Author improved one of such algorithms so, that it became possible to use one complex multiplication for computing two, four and even eight (for complex signals) harmonics simultaneously [3-5]. Problems of realization [6] and application of the harmonic sliding analysis are considered in the paper. Index Terms — Harmonic analysis, harmonic sliding analysis, dynamic spectrum analysis, recursive algorithms, sliding spectrum algorithms & analyzers, instant spectrum algorithms & analyzers, algorithms for instantaneous spectrum digital analyzers, multichannel filter.