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The Riesz basis property of discrete operators and application to a Euler–Bernoulli beam equation with boundary linear feedback control
In this paper, we give an abstract condition of Riesz basis generation for discrete operators in Hilbert spaces, from which we show that the generalized eigenfunctions of a Euler–Bernoulli beamExpand
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Hilbert transform pairs of biorthogonal wavelet bases
The forming of Hilbert transform pairs of biorthogonal wavelet bases of two-band filter banks is studied in this paper. We first derive necessary and sufficient conditions on the scaling filters thatExpand
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On the phase condition and its solution for Hilbert transform pairs of wavelet bases
In this paper, the phase condition on the scaling filters of two wavelet bases that renders the corresponding wavelets as Hilbert transform pairs is studied. An alternative and equivalent phaseExpand
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Theory of Dual-Tree Complex Wavelets
  • R. Yu
  • Computer Science, Mathematics
  • IEEE Transactions on Signal Processing
  • 1 September 2008
We study analyticity of the complex wavelets in Kingsbury's dual-tree wavelet transform. A notion of scaling transformation function that defines the relationship between the primal and dual scalingExpand
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Sampled-Data Design of FIR Dual Filter Banks for Dual-Tree Complex Wavelet Transforms via LMI Optimization
  • R. Yu, A. Baradarani
  • Computer Science, Mathematics
  • IEEE Transactions on Signal Processing
  • 1 July 2008
Starting from a given finite-impulse-response (FIR) primal filter bank, we design a dual filter bank such that the complex wavelets associated with the dual-tree filter bank are (almost) analytic.Expand
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Hilbert transform pairs of orthogonal wavelet bases: necessary and sufficient conditions
The condition on scaling filters of two orthogonal wavelet bases that render the corresponding wavelets as Hilbert transform pairs is re-examined in this note. Without making any pre-assumption onExpand
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Structural properties and poles assignability of LTI singular systems under output feedback
  • R. Yu, D. Wang
  • Computer Science, Mathematics
  • Autom.
  • 1 April 2003
This paper studies the structural properties of both finite poles and the infinite pole of linear time-invariant singular systems under output feedback. Three main problems are studied, namely, (1)Expand
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A large-vocabulary real-time continuous-speech recognition system
A system architecture has been developed to implement real-time large-vocabulary continuous-speech recognition using HMM (hidden Markov model) algorithms and bigram language models. It is shown thatExpand
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On the Global Optima of Kernelized Adversarial Representation Learning
Adversarial representation learning is a promising paradigm for obtaining data representations that are invariant to certain sensitive attributes while retaining the information necessary forExpand
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Shift-Variance Analysis of Generalized Sampling Processes
  • R. Yu
  • Mathematics, Computer Science
  • IEEE Transactions on Signal Processing
  • 1 June 2012
This paper is concerned with quantifying shift-variance of linear systems with continuous-time input and discrete-time output. We first introduce a notion of -shift-invariance for the system. ItExpand
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