Szegő quadrature and frequency analysis.
Ternary wavelets and their applications to signal compression
We introduce ternary wavelets, based on an interpolating 4-point C^2 ternary stationary subdivision scheme, for compressing fractal-like signals. These wavelets are tightly squeezed and therefore they are more suitable for compressing fractal-like signals. The error in compressing fractal-like signals by ternary wavelets is at most half of that given by four-point wavelets (Wei and Chen, 2002). However, for compressing regular signals we further classify ternary wavelets into 'odd ternary' and 'even...
The application of nonlinear spectral subtraction method on millimeter wave conducted speech enhancement.
The Paley-Wiener-Levinson theorem revisited.
The partial inner product space method: a quick overview.
The performance analysis of the adaptive two-stage DFB narrowband interference suppression filter in DSSS receiver
The present and future of signal processing
The Uncertainty Principle: A Mathematical Survey.
Time-frequency analysis of Sjöstrand's class.
We investigate the properties an exotic symbol class of pseudodifferential operators, Sjöstrand's class, with methods of time-frequency analysis (phase space analysis). Compared to the classical treatment, the time-frequency approach leads to striklingly simple proofs of Sjöstrand's fundamental results and to far-reaching generalizations.
Time-frequency representations : wavelet packets and optimal decomposition
Transformée en paquets d'ondelettes des signaux stationnaires: comportement asymptotique des densités spectrales.
We consider quadrature mirror filters, and the associated wavelet packet transform. Let X = {Xn}n∈Z be a stationary signal which has a continuous spectral density f. We prove that the 2n signals obtained from X by n iterations of the transform converge to white noises when n → +∞. If f is holderian, the convergence rate is exponential.
Über das Lokalisierungsprinzip bei mehrdimensionalen Shannonschen und konjugierten Shannonschen Abtastreihen
Uniform limit power-type function spaces.
Unifying approach to observer-filter design
The paper examines similarities between observer design as introduced in Automatic Control Theory and filter design as established in Signal Processing. It is shown in the paper that there are obvious connections between them in spite of different aims for their design. Therefore, it is prospective to make them be compatible from the structural point of view. Introduced error invariance and error convergence properties of both of them are unifying tools for their design. Lyapunov's stability theory,...
Variance bound of ACF estimation of one block of fGn with LRD.
Variantes sur un théorème de Candès, Romberg et Tao
Le théorème CRT dit comment reconstruire un signal à partir d’un échantillonnage de fréquences parcimonieux. L’hypothèse sur le signal, considéré comme porté par un groupe cyclique d’ordre , est qu’il est porté par un petit nombre de points, , et la méthode est de choisir aléatoirement fréquences et de minimiser dans l’algèbre de Wiener le prolongement à de la transformée de Fourier du signal réduite à ces fréquences. Quand est grand, la probabilité de reconstruire le signal est voisine...
Vergleich der unterschiedlichen Gütemaße zur Bewertung von Auto- und Kreuzkorrelationsfunktionen
Wiener amalgam spaces for the fundamental identity of Gabor analysis.
In the last decade it has become clear that one of the central themes within Gabor analysis (with respect to general time-frequency lattices) is a duality theory for Gabor frames, including the Wexler-Raz biorthogonality condition, the Ron-Shen duality principle and the Janssen representation of a Gabor frame operator. All these results are closely connected with the so-called Fundamental Identity of Gabor Analysis, which we derive from an application of Poisson's summation formula for the symplectic...
Задачи редукции в экспериментальных исследованиях
Минимаксное обнаружение сигнала при невырожденных функциях потерь и экстремальные выпуклые задачи