The system receives original time-series signals from sensors in a monitored system. Next, the system detects and removes spikes from the original time-series signals to produce despiked original time-series signals, which involves using the original time-series data to optimize a damping factor, which is applied to a threshold for a spike-detection technique, and using the spike-detection technique with the optimized damping factor to detect the spikes. The system then generates despiked synthetic time-series signals, which are statistically indistinguishable from the despiked original time-series signals. The system also includes synthetic spikes, which have the same temporal, amplitude and width distributions as the spikes in the original time-series signals, in the despiked synthetic time-series signals to produce synthetic time-series signals with spikes. The system uses the synthetic time-series signals with spikes to train an inferential model, and uses the inferential model to perform prognostic-surveillance operations on subsequently-received signals from the monitored system.

The system receives original time-series signals from sensors in a monitored system. Next, the system detects and removes spikes from the original time-series signals to produce despiked original time-series signals, which involves using the original time-series data to optimize a damping factor, which is applied to a threshold for a spike-detection technique, and using the spike-detection technique with the optimized damping factor to detect the spikes. The system then generates despiked synthetic time-series signals, which are statistically indistinguishable from the despiked original time-series signals. The system also includes synthetic spikes, which have the same temporal, amplitude and width distributions as the spikes in the original time-series signals, in the despiked synthetic time-series signals to produce synthetic time-series signals with spikes. The system uses the synthetic time-series signals with spikes to train an inferential model, and uses the inferential model to perform prognostic-surveillance operations on subsequently-received signals from the monitored system.

A receiving device includes a reception unit that samples a sample signal from a DUT 2; an FFT processing unit 21 that performs an FFT process by multiplying the sample signal by a window function; an FFT length setting unit 34 that, when the signal length of the signal to be measured is shorter than the first FFT length conforming to the communication standard, instead of the first FFT length, sets a second FFT length shorter than the signal length of the signal to be measured, as an FFT length of the FFT process; and a window function setting unit 35 that, when the signal length of the signal to be measured is shorter than the first FFT length, instead of a first window function, sets an asymmetric second window function having a peak separated from a center of a window section, as the window function.

A receiving device includes a reception unit that samples a sample signal from a DUT 2; an FFT processing unit 21 that performs an FFT process by multiplying the sample signal by a window function; an FFT length setting unit 34 that, when the signal length of the signal to be measured is shorter than the first FFT length conforming to the communication standard, instead of the first FFT length, sets a second FFT length shorter than the signal length of the signal to be measured, as an FFT length of the FFT process; and a window function setting unit 35 that, when the signal length of the signal to be measured is shorter than the first FFT length, instead of a first window function, sets an asymmetric second window function having a peak separated from a center of a window section, as the window function.

The present disclosure relates to spectral analysis in wireless current sensors. For example, a wireless current sensor (WCS) includes current transformer windings that harvest electrical energy from a power line and allow the WCS to obtain current measurements of the power line. The WCS includes a processor that obtains the current measurements of the power line via the current transformer windings. The processor generates a frequency domain representation of the current on the power line using the current measurements. The processor sends a wireless signal indicating results from the frequency domain representation to an intelligent electronic device (IED) that monitors the power line to allow the TED to analyze the results for anomalies.

The present disclosure relates to spectral analysis in wireless current sensors. For example, a wireless current sensor (WCS) includes current transformer windings that harvest electrical energy from a power line and allow the WCS to obtain current measurements of the power line. The WCS includes a processor that obtains the current measurements of the power line via the current transformer windings. The processor generates a frequency domain representation of the current on the power line using the current measurements. The processor sends a wireless signal indicating results from the frequency domain representation to an intelligent electronic device (IED) that monitors the power line to allow the TED to analyze the results for anomalies.

A method and an apparatus for determining and compensating respective harmonic distortions of digital to analog and analog to digital conversions are described. A signal from a digital to analog converter is passed through a plurality of calibration paths. Output signals from each calibration path, converted by an analog to digital converter, are analyzed in order to determine the harmonic distortions introduced by each side of the chain separately. One embodiment represents a digital sine generator which has harmonic distortions of its analog output continually compensated. Another embodiment compensates harmonic distortions introduced by an analog to digital converter in order to measure harmonic distortions of an analog signal precisely. Other embodiments are described and shown.

A method and an apparatus for determining and compensating respective harmonic distortions of digital to analog and analog to digital conversions are described. A signal from a digital to analog converter is passed through a plurality of calibration paths. Output signals from each calibration path, converted by an analog to digital converter, are analyzed in order to determine the harmonic distortions introduced by each side of the chain separately. One embodiment represents a digital sine generator which has harmonic distortions of its analog output continually compensated. Another embodiment compensates harmonic distortions introduced by an analog to digital converter in order to measure harmonic distortions of an analog signal precisely. Other embodiments are described and shown.

A system of measuring and correcting for distortions in homodyne systems and a method for operating a data processing system to provide an estimate of distortions in homodyne systems are disclosed. The method for operating a data processing system to provide an estimate of a distortion introduced by a homodyne system when the homodyne system processes a time a multi-tone time domain input signal, x(t), to obtain a time domain output signal, y(t) includes receiving a frequency spectrum, X(f), of the multi-tone time domain input signal, x(t) and measuring an output frequency spectrum, Y(f), when the homodyne system operates on x(t). A plurality of parameters of a model that represents a linear frequency response of the homodyne system when operating on X(f) to arrive at Y(f) by fitting the model to Y(f) and X(f) is determined, and the model is applied to X(f) and Y(f) to estimate the distortions.

A system of measuring and correcting for distortions in homodyne systems and a method for operating a data processing system to provide an estimate of distortions in homodyne systems are disclosed. The method for operating a data processing system to provide an estimate of a distortion introduced by a homodyne system when the homodyne system processes a time a multi-tone time domain input signal, x(t), to obtain a time domain output signal, y(t) includes receiving a frequency spectrum, X(f), of the multi-tone time domain input signal, x(t) and measuring an output frequency spectrum, Y(f), when the homodyne system operates on x(t). A plurality of parameters of a model that represents a linear frequency response of the homodyne system when operating on X(f) to arrive at Y(f) by fitting the model to Y(f) and X(f) is determined, and the model is applied to X(f) and Y(f) to estimate the distortions.