A greedy algorithm is proposed for sparse-sensor selection in reduced-order sensing that contains correlated noise measurement. The sensor carried out by maximizing the determinant of Fisher information matrix a Bayesian estimation operator.The with covariance measurement and prior probability distribution estimating parameters, which are given modal decomposition high dimensional data, robustl...

We show that the density matrix of a spin-l system can be described entirely in terms of the measurement statistics of projective spin measurements along a minimum of 4l + 1 different spin directions. It is thus possible to represent the complete quantum statistics of any N-level system within the spherically symmetric three dimensional space defined by the spin vector. An explicit method for r...

In this paper, we investigate the essential properties of finite dimensional measurement-based quantum feedback control systems using a kind of quantum entropy, or socalled linear entropy. We show how the terms appear in the stochastic master equation affect the purity of the conditional density matrix of the system, and clarify a limitation of control action via Hamiltonian. Moreover, applying...

 Nowadays measurement data coming from all kinds of measurement systems is usually processed by algorithms. These algorithms are often delivered to the user as complex program and their numerical structure is not known. Therefore also influence of algorithm on an accuracy of processed data is not known. Coefficient matrix of algorithm represents its numerical operations and it can be a basis t...

This paper is concerned with the networked control system design for continuoustime systems with random measurement, where the measurement channel is assumed to subject to random sensor-delay. A design scheme for the observer-based output feedback controller is proposed to render the closed-loop networked system exponentially mean-square stable with H∞ performance requirement. The technique emp...

The assessment of therapeutic compliance is commonly done by either indirect method or direct method. In indirect method, the assessments are done by indirect measurement of parameters such as discussion with patients and pill counts at intervals during the treatment which don’t measure the drug concentration in a matrix such as blood or urine. In direct method, the assessments which rely upon ...

We consider the continuous measurement of a double quantum dot by a weakly coupled detector ~tunnel point contact nearby!. While the conventional approach describes the gradual system decoherence due to the measurement, we study the situation when the detector output is explicitly recorded that leads to the opposite effect: gradual purification of the double-dot density matrix. The nonlinear La...

We consider the problem of sparse phase retrieval, where a k-sparse signal x ∈ Rn (or C) is measured as y = |Ax|, where A ∈ R (or C respectively) is a measurement matrix and | · | is the element-wise absolute value. For a real signal and a real measurement matrix A, we show that m = 2k measurements are necessary and sufficient to recover x uniquely. For complex signal x ∈ Cn and A ∈ C, we show ...

An optimal measurement selection strategy based on incoherence among rows (corresponding to measurements) of the sensitivity (or weight) matrix for the near infrared diffuse optical tomography is proposed. As incoherence among the measurements can be seen as providing maximum independent information into the estimation of optical properties, this provides high level of optimization required for...