Fractional time-varying energy distributions of ECG signals

Abstract

We introduce here fractional Cohen class of time-frequency distributions (FCCTFDs) containing fractional modulations which is kernel of fractional Fourier transform (FFT). The fractional modulation depends on angular parameter α and can be interpreted as a rotation by an angle α in time-frequency plane. This distribution promotes to track time-variant energy of a biological signals and represents it in time-frequency domain. It uses the fractional ambiguity function (FAF) of signal multiplied by a suitable kernel which is designed for the biological signals generally having multi-non-stationary components. This result improves and generalizes some of the previous time-frequency distributions derived in the literature.

Keywords:

• Fractional Fourier transform
• Fractional Cohen distribution
• Fractional modulation
• Fractional time-frequency shifts
• Weighted time-dependent autocorrelation function

Keywords:

• 2000 AMS Mathematics Subject Classifications: 42A38
• 44A30
• 94A14