The Experts below are selected from a list of 288 Experts worldwide ranked by ideXlab platform
T. Chen - One of the best experts on this subject based on the ideXlab platform.
-
Minimizing the Effect of Sampling Jitters in Wireless Sensor Networks
IEEE Signal Processing Letters, 2011Co-Authors: Salman Ahmed, T. ChenAbstract:A wireless sensor network (WSN) consists of low-cost and energy-limited sensors to measure a distributed phenomenon. The finite energy constraint limits the synchronization of sensors at every sampling instant which introduces sampling jitters. In this letter, we model sampling jitters using fractional delay transfer functions. The WSN is modeled using a hybrid Multirate Filter Bank where the objective is to design discrete-time, causal and stable synthesis Filters to minimize the effect of sampling jitters. Using a norm-invariant discretization, the hybrid and Multirate problem is reduced to a model-matching H2 optimization problem involving linear time-invariant and discrete-time systems. A numerical example is also presented to show the effectiveness of the proposed approach.
-
Nonuniform Multirate Filter Banks: analysis and design with an /spl Hscr//sub /spl infin// performance measure
IEEE Transactions on Signal Processing, 1997Co-Authors: T. ChenAbstract:A general Multirate Filter-Bank system with multiple channels and nonuniform bands is studied with the reconstruction performance measured by the worst-case energy gain (/spl Hscr//sub /spl infin// norm) of the error system between the Multirate system and a pure time-delay system. Using blocking and polyphase decomposition, we associate with the Multirate system an equivalent linear time-invariant (LTI) system whose transfer matrix can be computed by a simple procedure. Based on this LTI system, the optimal design problem can be reduced to one of /spl Hscr//sub /spl infin// optimization, which can be solved by ready-made software in many cases. For illustration, optimal synthesis Filters are designed for a two-channel example, and their properties are studied in detail.
-
Linear periodically time-varying discrete-time systems: aliasing and LTI approximations
Proceedings of 35th IEEE Conference on Decision and Control, 1996Co-Authors: T. ChenAbstract:Linear periodically time-varying (LPTV) systems are abundant in control and signal processing; examples include Multirate sampled-data control systems and Multirate Filter-Bank systems. In this paper, several ways are proposed to quantify aliasing effect in discrete-time LPTV systems; these are associated with optimal time-invariant approximations of LPTV systems using operator norms.
-
An application of H/sub /spl infin// optimization to Multirate digital signal processing
Proceedings of 1995 34th IEEE Conference on Decision and Control, 1995Co-Authors: T. Chen, B.a. FrancisAbstract:A procedure is developed to design IIR synthesis Filters in a Multirate Filter Bank. The Filters minimize the l/sub 2/-induced norm of the error system between the Multirate Filter Bank and a desired pure time-delay system. This criterion is reduced to one of H/sub /spl infin// optimization, for which there is ready-made software.
-
Design of Multirate Filter Banks by /spl Hscr//sub /spl infin// optimization
IEEE Transactions on Signal Processing, 1995Co-Authors: T. Chen, B.a. FrancisAbstract:A procedure is developed to design IIR synthesis Filters in a Multirate Filter Bank. The Filters minimize the l/sub 2/-induced norm of the error system between the Multirate Filter Bank and a desired pure time-delay system. This criterion is reduced to one of /spl Hscr//sub /spl infin// optimization, for which there is ready-made software.
B.a. Francis - One of the best experts on this subject based on the ideXlab platform.
-
An application of H/sub /spl infin// optimization to Multirate digital signal processing
Proceedings of 1995 34th IEEE Conference on Decision and Control, 1995Co-Authors: T. Chen, B.a. FrancisAbstract:A procedure is developed to design IIR synthesis Filters in a Multirate Filter Bank. The Filters minimize the l/sub 2/-induced norm of the error system between the Multirate Filter Bank and a desired pure time-delay system. This criterion is reduced to one of H/sub /spl infin// optimization, for which there is ready-made software.
-
Design of Multirate Filter Banks by /spl Hscr//sub /spl infin// optimization
IEEE Transactions on Signal Processing, 1995Co-Authors: T. Chen, B.a. FrancisAbstract:A procedure is developed to design IIR synthesis Filters in a Multirate Filter Bank. The Filters minimize the l/sub 2/-induced norm of the error system between the Multirate Filter Bank and a desired pure time-delay system. This criterion is reduced to one of /spl Hscr//sub /spl infin// optimization, for which there is ready-made software.
Brejesh Lall - One of the best experts on this subject based on the ideXlab platform.
-
Analysis of Signals via Non-Maximally Decimated Non-Uniform Filter Banks
IEEE Transactions on Circuits and Systems I: Regular Papers, 2019Co-Authors: Sandeep Patel, Ravindra Dhuli, Brejesh LallAbstract:This paper addresses the important problem of reconstructing a signal from multiple Multirate observations. The observations are modeled as the output of an analysis Bank, and time-domain analysis is carried out to design an optimal FIR synthesis Bank. We pose this as a minimizing the mean-square problem and prove that at least one optimal solution is always possible. A parametric form for all optimal solutions is obtained for a non-maximally decimated Filter Bank. The necessary and sufficient conditions for an optimal solution that results in perfect reconstruction (PR), are derived as time-domain pseudocirculant conditions. This represents a novel theoretical contribution in Multirate Filter Bank theory. We explore PR in a more general setting. This results in the ability to design a synthesis Bank with a particular delay in the reconstruction. Using this delay, one can achieve PR in cases where it might not have been possible otherwise. Further, we extend the design and analysis to non-uniform Filter Banks and carry out simulations to verify the derived results.
-
design and analysis of matrix wiener synthesis Filter for Multirate Filter Bank
Signal Processing, 2014Co-Authors: Sandeep Patel, Ravindra Dhuli, Brejesh LallAbstract:Abstract In this paper, we present a solution to the problem of reconstructing the input of a maximally decimated Filter Bank from the subband components using Wiener Filtering. We present a generalized structure for applying Wiener Filtering at the output of the analysis stage of a uniform Filter Bank (UFB). This structure can be used to model a situation where the desired signal is a Filtered version of the input signal. Some interesting results for matrix inversion are derived and used to reduce the complexity of the Wiener Filter expression. The resulting expression provides many insights into the properties of the Wiener synthesis Filter designed. The Wiener synthesis Filter turns out to be independent of the input spectral properties. The proposed Wiener synthesis Filter Bank exploits the pseudocirculant property. Thus all distortions are completely removed and the Filter Bank reduces to a linear time invariant (LTI) Filter of interest. We later extend the analysis to non-uniform Filter Banks (NUFBs).
Sandeep Patel - One of the best experts on this subject based on the ideXlab platform.
-
Analysis of Signals via Non-Maximally Decimated Non-Uniform Filter Banks
IEEE Transactions on Circuits and Systems I: Regular Papers, 2019Co-Authors: Sandeep Patel, Ravindra Dhuli, Brejesh LallAbstract:This paper addresses the important problem of reconstructing a signal from multiple Multirate observations. The observations are modeled as the output of an analysis Bank, and time-domain analysis is carried out to design an optimal FIR synthesis Bank. We pose this as a minimizing the mean-square problem and prove that at least one optimal solution is always possible. A parametric form for all optimal solutions is obtained for a non-maximally decimated Filter Bank. The necessary and sufficient conditions for an optimal solution that results in perfect reconstruction (PR), are derived as time-domain pseudocirculant conditions. This represents a novel theoretical contribution in Multirate Filter Bank theory. We explore PR in a more general setting. This results in the ability to design a synthesis Bank with a particular delay in the reconstruction. Using this delay, one can achieve PR in cases where it might not have been possible otherwise. Further, we extend the design and analysis to non-uniform Filter Banks and carry out simulations to verify the derived results.
-
design and analysis of matrix wiener synthesis Filter for Multirate Filter Bank
Signal Processing, 2014Co-Authors: Sandeep Patel, Ravindra Dhuli, Brejesh LallAbstract:Abstract In this paper, we present a solution to the problem of reconstructing the input of a maximally decimated Filter Bank from the subband components using Wiener Filtering. We present a generalized structure for applying Wiener Filtering at the output of the analysis stage of a uniform Filter Bank (UFB). This structure can be used to model a situation where the desired signal is a Filtered version of the input signal. Some interesting results for matrix inversion are derived and used to reduce the complexity of the Wiener Filter expression. The resulting expression provides many insights into the properties of the Wiener synthesis Filter designed. The Wiener synthesis Filter turns out to be independent of the input spectral properties. The proposed Wiener synthesis Filter Bank exploits the pseudocirculant property. Thus all distortions are completely removed and the Filter Bank reduces to a linear time invariant (LTI) Filter of interest. We later extend the analysis to non-uniform Filter Banks (NUFBs).
Jingxin Zhang - One of the best experts on this subject based on the ideXlab platform.
-
H2/H, Signal Reconstruction in Noisy Filter Bank Systems
2020Co-Authors: Jingxin Zhang, Cishen ZhangtAbstract:This paper investigates signal reconstruction in the Multirate Filter Bank systems with noisy subband paths. It casts the problem of signal reconstruction into a problem of mixed H2/H, control, and uses the standard results of mixed H2/H, synthesis to design an IIR synthesis Filter Bank.
-
Reduced-order H/sub /spl infin// and H/sub 2/ design of Multirate Filter Banks using PDLF method
2006 IEEE International Symposium on Circuits and Systems, 2006Co-Authors: Zhisheng Duan, Jingxin Zhang, Cishen Zhang, E. MoscaAbstract:This paper is concerned with reduced-order H2 and Hinfin Multirate Filter Bank design. Parameter-dependent Lyapunov function (PDLF) based linear matrix inequality (LMI) conditions are presented for the design of reduced-order synthesis Filters. By the introduction of two new slack variables in PDLF, the constraint on the Lyapunov matrix is converted to the constraint on the new slack variables. This renders a less conservative design method for reduced-order Multirate Filter Bank. The effectiveness of the proposed method is illustrated by an example
-
a simple design method of reduced order Filters and its applications to Multirate Filter Bank design
Signal Processing, 2006Co-Authors: Zhisheng Duan, Jingxin Zhang, Cishen Zhang, E. MoscaAbstract:Based on linear matrix inequality (LMI) technique, a new design method is proposed for the reduced-order Filters of continuous and discrete time linear systems. The method is derived from decomposing the key matrix in LMIs which determines the order of designed Filters. Different from the existing methods, the proposed method first minimizes the upper bound of the key matrix and then eliminates its near-zero eigenvalues, which results in a simpler, more direct and reliable design procedure. The proposed method can be used to design H"2 and H"~ reduced-order Filters and Multirate Filter Banks. Its effectiveness is illustrated by several examples.
-
H/sub 2//H/sub /spl infin// signal reconstruction in noisy Filter Bank systems
Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 2000Co-Authors: Jingxin Zhang, C. ZhangAbstract:Investigates signal reconstruction in the Multirate Filter Bank systems with noisy subband paths. It casts the problem of signal reconstruction into a problem of mixed H/sub 2//H/sub /spl infin// control, and uses the standard results of mixed H/sub 2//H/sub /spl infin// synthesis to design an IIR synthesis Filter Bank.
