A family of Gaussian analytic functions (GAFs) has recently been linked to the Gabor
transform of Gaussian white noises [4]. This answered pioneering work by Flandrin [10], who …

Renewable energy sources will be more vigorously deployed under the global trend of
carbon emission reduction. The connection of numerous renewable energy sources poses …

Nowadays, power quality problems are affecting people's daily life and production activities.
With an aim to improve disturbance detection accuracy, a novel analysis approach, based …

For some special window functions ψ α∈ H 2 (C+) ψ_α∈H^2(C^+), we prove that, over all
sets Δ⊂ C+ Δ⊂C^+ of fixed hyperbolic measure ν (Δ) ν(Δ), those for which the Wavelet …

The noninvasive fetal electrocardiogram (FECG) is helpful for fetal well-being monitoring.
However, it is difficult to obtain high-quality FECG signals because of the maternal …

We study the recovery of square-integrable signals from the absolute values of their wavelet
transforms, also called wavelet phase retrieval. We present a new uniqueness result for …

In audio processing applications, phase retrieval (PR) is often performed from the magnitude
of short-time Fourier transform (STFT) coefficients. Although PR performance has been …

The real-time performance of Automatic Speech Recognition (ASR) is a big challenge and
needs high computing capability and exhaustive memory consumption. Getting a robust …

In this paper we formulate Donoho and Logan's large sieve principle for the wavelet
transform on the Hardy space, adapting the concept of maximum Nyquist density to the …

The constant center frequency to bandwidth ratio (Q-factor) of wavelet transforms provides a
very natural representation for audio data. However, invertible wavelet transforms have …