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- W2785080442 abstract "Using the two parameters amplitude and frequency of a signal, four different types of representations can be obtained. The first two representations of a signal with (i) constant amplitudes and constant frequencies (CA-CF) by the Fourier theory, (ii) variable amplitudes and variable frequencies (VA-VF) using AM-FM model are well established. In this study, we present methods to obtain other two representations: (iii) constant amplitudes and variable frequencies (CA-VF) representation (FM model), and (iv) variable amplitudes and constant frequencies (VA-CF) representation (AM model) for time-frequency analysis of a signal. Moreover, contrary to perception available in literature, we show that the direct quadrature (DQ), which is a CA-VF type representation , cannot produce full sine wave form cosine wave and vice versa, thus not suitable for instantaneous frequency (IF) computation. In order to overcome the limitations of DQ, a novel Hilbert Quadrature (HQ) representation of a signal is proposed. Practically, some noise is always present in the signal under analysis and in such cases we demonstrate that the analytic signal representation obtained by suprressing the negative frequecnies in the Fourier method, which is equivalent to the Hilbert transform, is the most robust and suitable for the computation of IF." @default.
- W2785080442 created "2018-02-02" @default.
- W2785080442 creator A5083801239 @default.
- W2785080442 date "2017-07-01" @default.
- W2785080442 modified "2023-09-24" @default.
- W2785080442 title "Comments on the Representations of Instantaneous Frequency using the Hilbert Transform, Direct Quadrature and Hilbert Quadrature" @default.
- W2785080442 hasPublicationYear "2017" @default.
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