A Novel Method for Stochastic Measurement of Harmonics at Low Signal-to-Noise Ratio

Influence of Wilbraham-Gibbs Phenomenon on Digital Stochastic Measurement of EEG Signal Over an Interval

“…Simulations are performed with simulation model implemented in Matlab and VisualC and verified in previous extensive experimental verifications [16][17][18][19]25]. Measurement interval of 20 ms is chosen, because the developed instrument supports this interval (fundamental frequency of 50 Hz).…”

“…Several prototype and small-series commercial instruments have been realized and calibrated, and their measurement uncertainty can be extremely low [16][17][18][19]. The approach of those methods was named Digital Stochastic Measurement (DSM) and these instruments were named Digital Stochastic Instruments.…”

“…For example, a prototype instrument, reported in [18] can perform the harmonic analyses for the DC component and up to 49 harmonics (both cosine and sine components) in each of the seven different input channels. Its operation is based on stochastic A/D conversion and accumulation, with a hardware structure designed for the harmonic measurement.…”

“…Its operation is based on stochastic A/D conversion and accumulation, with a hardware structure designed for the harmonic measurement. The method and the predicted uncertainty for 50 harmonics are validated in [18] by simulation and experiments using the sampling frequency of 250 kHz per channel. In [19] of this method to be applied for measurement of harmonics of any stationary signal.…”

Stochastic measurement of noise true RMS using two-bit flash A/D converters

“…The measurement uncertainty is estimated using the applied theory of discrete signals and systems, underpinned by algebraic calculations [3]. An alternative strategy, the "stochastic measurement over an interval" [4], has been researched in three challenging areas: measurements that require high accuracy and linearity [5][6][7], measurement of fast-changing signals and noisy signals [8,9]. Numerous simulations, prototype instruments and experiments have proven the metrological applicability of the stochastic approach [4][5][6][7][8][9].…”