| Acronym: UDPT |
| Main Objective: This project studies the uncertainty in the estimation of different quantities made with the use of the Discrete Fourier Transform applied to a set of data points. These can be, for example, Total harmonic distortion (THD), Signal to Noise ratio (SNR), Signal to Noise and Distortion ratio (SINAD) among others. The data points may be corrupted by non ideal effects like additive noise, phase noise, jitter in the sampling instant, signal frequency error or quantization error. Those phenomena lead to an increase in the standard deviation of the estimated quantities and, in some cases, to a bias in the estimation values. It is crucial to know the analytical relationship between the uncertainty of those estimated quantities and the magnitude of the non ideal effects in order to properly choose the number of data points to acquire and to compute the correct confidence intervals for the estimated quantities. This project contributes greatly to the numerical validation of the analytically derived formulas that quantify the relation between estimates and non-ideal phenomena by using a Monte Carlo type procedure applied to the estimation algorithms. This study also applies to the least squares sinusoidal fitting of data points with know frequency. |
| Reference: 2022.72436.CPCA.A0 |
| Funding: FCT |
| Start Date: 01-07-2023 |
| End Date: 31-12-2023 |
| Team: Francisco André Corrêa Alegria |
| Groups: Instrumentation and Measurements |
| Partners: Instituto Superior Técnico |
| Local Coordinator: Francisco André Corrêa Alegria |
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Associated Publications
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