On the uniqueness of the definition of the amplitude and phase of the analytic signal

DOI10.1016/S0165-1684(03)00073-2zbMath1144.94338OpenAlexW186277787MaRDI QIDQ948194

Stefan L. Hahn

Publication date: 8 October 2008

Published in: Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0165-1684(03)00073-2

zbMATH Keywords

Hilbert transformanalytic signalinstantaneous complex phase and frequency

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12)

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Estimation of the instantaneous amplitude and the instantaneous frequency of audio signals using complex wavelets ⋮ Amplitude spaces of mono-components from Blaschke products and an intrinsic multiresolution analysis ⋮ Two families of unit analytic signals with nonlinear phase ⋮ Instantaneous frequency estimation and representation of the audio signal through Complex Wavelet Additive Synthesis

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