Parametric TFR via windowed 2-order polynomial frequency modulated atoms
2004
A novel parametric time-frequency representation called FM/sup 2/let transform, which uses the dilated and translated windowed 2-order polynomial frequency modulated atoms (FM/sup 2/lets), is proposed. The Fourier transform, short-time Fourier transform (including Gabor transform), wavelet transform, and chirplet transform are reformulated in one framework of FM/sup 2/let transform accordingly. By FM/sup 2/let transform, both the signal's time-invariant and time-varying spectral contents can be compactly characterized. The superiority of the proposed method to some existing time-frequency distributions (TFDs) is demonstrated using a bat sonar signal.
Keywords:
- Short-time Fourier transform
- Mathematical analysis
- Artificial intelligence
- S transform
- Constant Q transform
- Fractional Fourier transform
- Harmonic wavelet transform
- Non-uniform discrete Fourier transform
- Discrete Fourier transform (general)
- Pattern recognition
- Speech recognition
- Gabor transform
- Mathematics
- Hartley transform
- Algorithm
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
8
References
0
Citations
NaN
KQI