This paper analyses Mean Square Error (MSE) of a noisy sine-wave amplitude estimator based on the Discrete-Time Fourier Transform (DTFT) evaluated at the signal frequency estimated by the classical Interpolated Discrete Fourier Transform (IpDFT) algorithm. In order to reduce the contribution of the spectral image component on the returned estimates, the sine-wave is weighted by a Maximum Sidelobe Decay (MSD) window. An analytical expression for the estimator MSE is derived. For given Signal-to-Noise Ratio (SNR) and number of processed samples, that expression allows us to derive the minimum number of acquired sine-wave cycles ensuring that the detrimental contribution of the image component on the estimation accuracy is negligible as compared with the effect of wideband noise. In such condition, both computer simulations and experimental results show that the analysed DTFT-based estimator outperforms the classical DFT-based estimator.

Accurate amplitude estimation of a noisy sine-wave via interpolated DFT algorithm / Belega, D.; Petri, D.; Dallet, D.. - ELETTRONICO. - 2017-:(2017), pp. 200-204. (Intervento presentato al convegno 22nd IMEKO TC4 International Symposium and 20th International Workshop on ADC Modelling and Testing 2017: Supporting World Development Through Electrical and Electronic Measurements tenutosi a Romania nel 2017).

Accurate amplitude estimation of a noisy sine-wave via interpolated DFT algorithm

Petri D.;
2017-01-01

Abstract

This paper analyses Mean Square Error (MSE) of a noisy sine-wave amplitude estimator based on the Discrete-Time Fourier Transform (DTFT) evaluated at the signal frequency estimated by the classical Interpolated Discrete Fourier Transform (IpDFT) algorithm. In order to reduce the contribution of the spectral image component on the returned estimates, the sine-wave is weighted by a Maximum Sidelobe Decay (MSD) window. An analytical expression for the estimator MSE is derived. For given Signal-to-Noise Ratio (SNR) and number of processed samples, that expression allows us to derive the minimum number of acquired sine-wave cycles ensuring that the detrimental contribution of the image component on the estimation accuracy is negligible as compared with the effect of wideband noise. In such condition, both computer simulations and experimental results show that the analysed DTFT-based estimator outperforms the classical DFT-based estimator.
2017
22nd IMEKO TC4 International Symposium and 20th International Workshop on ADC Modelling and Testing 2017: Supporting World Development Through Electrical and Electronic Measurements
Romania
IMEKO-International Measurement Federation Secretariat
Belega, D.; Petri, D.; Dallet, D.
Accurate amplitude estimation of a noisy sine-wave via interpolated DFT algorithm / Belega, D.; Petri, D.; Dallet, D.. - ELETTRONICO. - 2017-:(2017), pp. 200-204. (Intervento presentato al convegno 22nd IMEKO TC4 International Symposium and 20th International Workshop on ADC Modelling and Testing 2017: Supporting World Development Through Electrical and Electronic Measurements tenutosi a Romania nel 2017).
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/343500
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