Publications related to Rank (linear algebra)

Simultaneous estimation of unwrapped phase and phase derivative from a closed fringe pattern

Pramod Rastogi, Rishikesh Dilip Kulkarni

We propose a new approach for the direct estimation of the unwrapped phase from a single closed fringe pattern. The fringe analysis is performed along a given row/column at a time by approximating the phase with a weighted linear combination of linearly in ...

2016

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

Afsaneh Asaei, Mohammadjavad Taghizadeh, Saeid Haghighatshoar

In this paper, we prove a new identity for the least-square solution of an over-determined set of linear equation

Ax=b

, where

A

is an

m\times n

full-rank matrix,

b

is a column-vector of dimension

m

, and

m

(the number of equations) is larger tha ...

2015

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

Afsaneh Asaei, Mohammadjavad Taghizadeh, Saeid Haghighatshoar

In this paper, we prove a new identity for the least-square solution of an over-determined set of linear equation

Ax=b

, where

A

is an

m\times n

full-rank matrix,

b

is a column-vector of dimension

m

, and

m

(the number of equations) is larger tha ...

Idiap2015

Fixed-order Linear Parameter Varying Controller Design for a 2DOF Gyroscope

Alireza Karimi, Zlatko Emedi

This paper presents an approach for fixed-order Linear Parameter Varying (LPV) controller design with application to a 2 Degree-of-Freedom (2DOF) gyroscope experimental setup. Inner convex approximation of the non-convex set of all stabilizing fixed-order ...

2015

Fixed-structure LPV Discrete-time Controller Design with Induced l2-Norm and H2 Performance

Alireza Karimi, Zlatko Emedi

A new method for the design of fixed-structure dynamic output-feedback Linear Parameter Varying (LPV) controllers for discrete-time LPV systems with bounded scheduling parameter variations is presented. Sufficient conditions for the stability, $\mathscr{H} ...

2015

Fixed-structure H-2 controller design for polytopic systems via LMIs

Alireza Karimi, Arash Sadeghzadeh

In this paper a new approach for fixed-structure H2 controller design in terms of solutions to a set of linear matrix inequalities are given. Both discrete- and continuous-time single-input single-output (SISO) time- invariant systems are considered. Then ...

Wiley-Blackwell2015

A totally unimodular view of structured sparsity

Volkan Cevher, Marwa El Halabi

This paper describes a simple framework for structured sparse recovery based on convex optimization. We show that many interesting structured sparsity models can be naturally represented by linear matrix inequalities on the support of the unknown parameter ...

2015

Phase estimation from noisy phase fringe patterns using linearly independent basis functions

Pramod Rastogi, Rishikesh Dilip Kulkarni

A novel technique is proposed for obtaining unwrapped phase estimation from a highly noisy exponential phase field. In this technique, the interference phase is represented as a linear combination of linearly independent and pre-defined basis functions alo ...

Iop Publishing Ltd2015

A Universal Law for Plasmon Resonance Shift in Biosensing

Olivier Martin

We drive an explict expression for the resonance frequency shift for a subwavelength plasmonic nanocavity upon the adsorption or trapping of a single nanoparticle using rigorous perturbation theory. It reveals a simple linear dependence of the resonance fr ...

Amer Chemical Soc2015

Systematic Tuning and Multifunctionalization of Covalent Organic Polymers for Enhanced Carbon Capture

Berend Smit, Rocio Mercado, Johanna Maria Huck, Hui Wang

Porous covalent polymers are attracting increasing interest in the fields of gas adsorption, gas separation, and catalysis due to their fertile synthetic polymer chemistry, large internal surface areas, and ultrahigh hydrothermal stabilities. While precise ...

American Chemical Society2015

Rank (linear algebra)

Graph Chatbot

Chat with Graph Search

Simultaneous estimation of unwrapped phase and phase derivative from a closed fringe pattern

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

Fixed-order Linear Parameter Varying Controller Design for a 2DOF Gyroscope

Fixed-structure LPV Discrete-time Controller Design with Induced l2-Norm and H2 Performance

Fixed-structure H-2 controller design for polytopic systems via LMIs

A totally unimodular view of structured sparsity

Phase estimation from noisy phase fringe patterns using linearly independent basis functions

A Universal Law for Plasmon Resonance Shift in Biosensing

Systematic Tuning and Multifunctionalization of Covalent Organic Polymers for Enhanced Carbon Capture

Fixed-order Linear Parameter Varying Controller Design for a 2DOF Gyroscope

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

Simultaneous estimation of unwrapped phase and phase derivative from a closed fringe pattern

Fixed-structure H-2 controller design for polytopic systems via LMIs

Phase estimation from noisy phase fringe patterns using linearly independent basis functions

Fixed-structure LPV Discrete-time Controller Design with Induced l2-Norm and H2 Performance

A totally unimodular view of structured sparsity

A New Identity for the Least-square Solution of Overdetermined Set of Linear Equations

A Universal Law for Plasmon Resonance Shift in Biosensing

Systematic Tuning and Multifunctionalization of Covalent Organic Polymers for Enhanced Carbon Capture