Abstract: The present disclosure relates to systems and methods for calibrating a multi-camera navigation system for a vehicle. In one implementation, at least one processing device may receive first and second image frames acquired by a first camera onboard the vehicle; receive first and second image frames acquired by a second camera onboard the vehicle; determine a first ego-motion signal, including an indication of a change in position of the first camera relative to capture times associated with the first and second image frames acquired by the first camera; determine a second ego-motion signal, including an indication of a change in position of the second camera relative to capture times associated with the first and second image frames acquired by the second camera; and determine a relative orientation between the first camera and the second camera based on the first ego-motion signal and the second ego-motion signal.

Abstract: Systems and methods are provided for generating a state space model of a physical system. Embodiments of a computer-implemented system may include a physical system data structure that includes frequency-domain response data that is indicative of a response of one or more components of a physical system to a stimulus, and a state space model generation engine that is configured generate a state space model based on the frequency-domain response data, where the state space model is usable to simulate a time-domain response of the one or more components of the physical system.

Abstract: Systems and methods are provided for generating a state space model of a physical system. A matrix decomposition module is configured to receive input data and determine a size of an input matrix based on the input data. When the input matrix size is below a threshold, a singular value decomposition of the input matrix is determined using a first technique. When the input matrix size is above the threshold the input matrix is subdivided into a plurality of subparts. For each subpart, a separability value of that subpart is determined. When the separability value indicates that the subpart is well separated, a singular value decomposition of that subpart is determined using a second technique. When the separability value indicates that the subpart is not well separated, data associated with that subpart is provided to the matrix decomposition module via a recursive call.

Abstract: Systems and methods are provided for simulating an electrical characteristic of an electronic device having input ports and output ports. A device frequency response data structure is accessed that contains data associated with a plurality of port-to-port frequency responses of the electronic device, each port-to-port frequency response being associated with a plurality of frequencies. A QR decomposition is performed based on data from the frequency response data structure. A subset of the port-to-port frequency responses is selected based on the QR decomposition. A set of common poles is identified using the selected subset of port-to-port frequency responses, and a model of time domain behavior of the electronic device is generated using the set of common poles.