Abstract: A building control device for estimating temperature of a space incorporating environmental sensors, a memory, and a controller. The controller may receive detected environmental conditions, identify operational environmental states, obtain a probability distribution for each operational environmental state, determine temperature estimates and a probability estimate for each temperature estimate, identify an operational environmental state at which the set of environmental sensors are likely operating, select a temperature estimate for the operational environmental state at which the set environmental sensors are likely operating, and generate the selected temperature estimate.

Abstract: A building control device for estimating temperature of a space incorporating environmental sensors, a memory, and a controller. The controller may receive detected environmental conditions, identify operational environmental states, obtain a probability distribution for each operational environmental state, determine temperature estimates and a probability estimate for each temperature estimate, identify an operational environmental state at which the set of environmental sensors are likely operating, select a temperature estimate for the operational environmental state at which the set environmental sensors are likely operating, and generate the selected temperature estimate.

Abstract: A filter is disclosed for recursive state estimation of a process by matrix factorization. The filter preferably takes the general form of P=XY, where P is a matrix of previous state and/or current observations, Y is a matrix of functions that are used to model the process, and X is a coefficient matrix relating the functions in matrix Y to the previous state and/or current observations of matrix P. Given the previous state and/or current observations, a value for matrix Y can be computed from which a current state estimate can be recovered.

Abstract: A three-axis algebraic model is used to numerically compensate for magnetic errors in measured magnetic field values in an electronic compass for any orientation of the compass. This model is based on physical principles and uses a linear algebra approach that facilitates computation of the parameters needed for compensation. During a calibration procedure of the electronic compass, magnetic and gravity fields are measured in three axes at each of a variety of combinations of orientations and azimuths. This set of measured magnetic and gravity fields is used to calculate a matrix compensation coefficient and a vector compensation coefficient using a system of equations. These compensation coefficients are stored and then used during normal operations of the electronic compass to correct all subsequently measured magnetometer data to obtain corrected values for the Earth's magnetic field, from which the correct azimuth can be calculated.

Abstract: A three-axis algebraic model is used to numerically compensate for magnetic errors in measured magnetic field values in an electronic compass for any orientation of the compass. This model is based on physical principles and uses a linear algebra approach that facilitates computation of the parameters needed for compensation. During a calibration procedure of the electronic compass, magnetic and gravity fields are measured in three axes at each of a variety of combinations of orientations and azimuths. This set of measured magnetic and gravity fields is used to calculate a matrix compensation coefficient and a vector compensation coefficient using a system of equations. These compensation coefficients are stored and then used during normal operations of the electronic compass to correct all subsequently measured magnetometer data to obtain corrected values for the Earth's magnetic field, from which the correct azimuth can be calculated.