Publications related to Rank (linear algebra)

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Phase estimation in digital holographic interferometry using cubic phase function based method

Pramod Rastogi, Sai Siva Gorthi

The paper introduces a cubic-phase-function based method to estimate interference phase in digital holographic interferometry. The proposed method relies on piecewise polynomial approximation of phase by dividing an arbitrary row/column of the complex reco ...

Taylor & Francis2010

Integer-Forcing Linear Receivers

Michael Christoph Gastpar

complexity of multiple antenna systems. In a traditional linear receiver architecture, the receive antennas are used to separate out the codewords sent by each transmit antenna, which can then be decoded individually. Although easy to implement, this appro ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2010

Integer-Forcing Linear Receivers: A New Low-Complexity MIMO Architecture

Michael Christoph Gastpar

We propose a new framework for MIMO decoding based on a recently developed technique for reliably conveying linear equations over wireless channels. Each transmit antenna sends an independent data stream using the same linear code. As a result, any integer ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2010

Spectral validation of rank deficient kinetic models

Julien Léo Billeter, Konrad Hungerbühler

Kinetic hard-modelling is often the method of choice in order to determine kinetic parameters of reactions by non-linear optimisation and fitting of measured data. In spectroscopy, kinetic hard-modelling allows decomposing time and wavelength resolved data ...

2009

Measurement-Based Drift Correction in Spectroscopic Calibration Models

Dominique Bonvin, Michael Amrhein, Pamandeep Singh Gujral

Correct prediction of analyte concentrations from a new spectrum without drift is possible provided the spectrum lies in the row space spanned by the calibration spectra (space-inclusion condition). However, this condition may be violated as on-line spectr ...

cemagref Languedoc Roussillon2008

Fixed-Order Controller Design for Polytopic Systems Using Rank Deficiency in a Sylvester Matrix

Alireza Karimi, Roland Longchamp, Hamid Khatibi

Fixed-order controller design for LTI-SISO polytopic systems is investigated using rank deficiency constraint on the controller Sylvester resultant matrix. It is shown that the non-convexity of fixed-order controller design problem can be gathered in a ran ...

2008

Compute-and-Forward: Harnessing Interference with Structured Codes

Michael Christoph Gastpar

For a centralized encoder and decoder, a channel matrix is simply a set of linear equations that can be transformed into parallel channels. We develop a similar approach to multiuser networks: we view interference as creating linear equations of codewords ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2008

Subspace properties of randomized network coding

Christina Fragouli, Suhas Diggavi, Mahdi Jafari Siavoshani

Randomized network coding has network nodes randomly combine and exchange linear combinations of the source packets. A header appended to the packet, called coding vector, specifies the exact linear combination that each packet carries. The main contributi ...

2007

Rank (linear algebra)

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Phase estimation in digital holographic interferometry using cubic phase function based method

Integer-Forcing Linear Receivers

Integer-Forcing Linear Receivers: A New Low-Complexity MIMO Architecture

BOOSTED BINARY FEATURES FOR NOISE-ROBUST SPEAKER VERIFICATION

Spectral validation of rank deficient kinetic models

Measurement-Based Drift Correction in Spectroscopic Calibration Models

Fixed-Order Controller Design for Polytopic Systems Using Rank Deficiency in a Sylvester Matrix

Compute-and-Forward: Harnessing Interference with Structured Codes

Subspace properties of randomized network coding

Recognition of generalized network matrices

Measurement-Based Drift Correction in Spectroscopic Calibration Models

BOOSTED BINARY FEATURES FOR NOISE-ROBUST SPEAKER VERIFICATION

Recognition of generalized network matrices

Spectral validation of rank deficient kinetic models

Subspace properties of randomized network coding

Integer-Forcing Linear Receivers: A New Low-Complexity MIMO Architecture

Compute-and-Forward: Harnessing Interference with Structured Codes

Fixed-Order Controller Design for Polytopic Systems Using Rank Deficiency in a Sylvester Matrix

Integer-Forcing Linear Receivers

Phase estimation in digital holographic interferometry using cubic phase function based method