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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 beam… Expand

Hilbert transform pairs of biorthogonal wavelet bases

- R. Yu, Hüseyin Özkaramanli
- Computer Science, Mathematics
- IEEE Transactions on Signal Processing
- 1 June 2006

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 that… Expand

On the phase condition and its solution for Hilbert transform pairs of wavelet bases

- Hüseyin Özkaramanli, R. Yu
- Computer Science, Mathematics
- IEEE Trans. Signal Process.
- 1 December 2003

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 phase… Expand

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 scaling… Expand

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

Hilbert transform pairs of orthogonal wavelet bases: necessary and sufficient conditions

- R. Yu, H. Ozkaramanli
- Mathematics
- IEEE Transactions on Signal Processing
- 1 December 2005

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 on… Expand

Structural properties and poles assignability of LTI singular systems under output feedback

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

A large-vocabulary real-time continuous-speech recognition system

- H. Murveit, J. Mankoski, +8 authors A. Santos
- Computer Science
- International Conference on Acoustics, Speech…
- 23 May 1989

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 that… Expand

On the Global Optima of Kernelized Adversarial Representation Learning

- B. Sadeghi, R. Yu, V. Boddeti
- Computer Science, Mathematics
- IEEE/CVF International Conference on Computer…
- 1 October 2019

Adversarial representation learning is a promising paradigm for obtaining data representations that are invariant to certain sensitive attributes while retaining the information necessary for… Expand

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. It… Expand