Optomechanical parameter estimation

Position estimation of a parametrically driven optomechanical system

We study the position estimation of a mechanical oscillator undergoing both detuned parametric amplification and continuous quantum measurement. This model, which can be utilized to produce squeezed states, is applied to a general optoelectromechanical system. Using a stochastic master equation formalism, we derive general formulae for the reduction in position uncertainty of one quadrature of ...

Power spectrum parameter estimation

The power spectrum of a zero-mean stationary Gaussian random process is assumed to be known except for one or more parameters which are to be estimated from an observation of the process during a finite time interval. The approximation is introduced that the coefficients of the Fourier series expansion of a realization of long-time duration are uncorrelated. Based on this approximation maximum ...

Outlier Tolerant Parameter Estimation

Real world does not only provide noisy instead of perfect data. Every experimentalist has now and then to deal with outliers. The situation is simple if isolated points stick out of the general trend by a large amount. Arguments can then usually be found why such a point should be disregarded. The situation becomes critical if the outliers are not that obvious. This is usually the case for para...

Parameter Estimation for System

SHARMA, SIDDHARTH. Parameter Estimation for System Biology Models on GPU Clusters . (Under the direction of Dr. James Tuck.) In this work, we consider the parallelization of interval based parameter estimation with uncertainty propagation for non-linear ODE models. This approach is especially important in systems biology research as it addresses the uncertainty often present in data recorded fr...

Frequentist parameter estimation