The Influence of Windowing on Bias and Variance of DFT-Based Frequency and Phase Estimation

Schuster, Stefan; Scheiblhofer, Stefan; Stelzer, Andreas

doi:10.1109/tim.2008.2006131

Cited by 60 publications

(29 citation statements)

References 21 publications

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“…Da es sich bei dieser Temperaturmessung um ein Frequenzschätzproblem handelt, kann mittels der Cramer-Rao lower Bound [21][22][23] die untere Schranke der Varianz der Temperatur berechnet werden. Diese Genauigkeitsgrenzen, erreichbare Auflösung sowie Methoden der Signalverarbeitung werden in einer zukünftigen Arbeit diskutiert.…”

Section: Ausblickunclassified

Radio-Acoustic-Sounding System – berührungslose und abstandsaufgelöste akustische Temperaturmessung im industriellen Umfeld

Exel

Schuster

Thaller

et al. 2018

Elektrotech. Inftech.

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Section: Ausblickunclassified

Radio-Acoustic-Sounding System – berührungslose und abstandsaufgelöste akustische Temperaturmessung im industriellen Umfeld

Exel

Schuster

Thaller

et al. 2018

Elektrotech. Inftech.

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“…This results in biased RTDT estimates, which are modeled in the simulations simply by adding the corresponding bias to the RTDT estimate of the last reflector. According to [37], the maximum bias due to an interfering signal with 15 dB less power than the signal of interest (Fig. 2) is…”

Section: Validationmentioning

confidence: 99%

Model-Based Identification Method for Pulse Position Coded Surface Acoustic Wave Identification Tags

Klaffenböck

Schuster

Scheiblhofer³

et al. 2014

IEEE Trans. Instrum. Meas.

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In this paper, a novel code identification algorithm based on a least squares reflector grid estimation technique for single delay-line-based surface acoustic wave (SAW) sensor identification tags using pulse position coding is derived. The least squares estimation procedure considers all round-trip delay time information encoded on a single tag. Hence, the pulse position coding grid can be estimated with higher accuracy compared with the standard grid estimation technique, which uses only framing reflectors for grid calculation. The need for framing reflectors is completely eliminated, and thus additional space for data on the tag is obtained. With a more accurate grid, the probability of correct identification increases. Ensuring a large data capacity on the SAW tag, the newly derived estimator also works well with fine pulse position coding grids, for which common grid estimators fail, in particular, in low signal-to-noise ratio scenarios.Index Terms-Parameter estimation, signal processing, surface acoustic wave delay lines, surface acoustic wave signal processing, surface acoustic waves.

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“…First, ρ must be smaller than the spectral signal-to-noise ratio (SNR), which is the distance from the noise floor to the peak of the mainlobe in the PSD. Considering the processing gain [15], [ …”

Section: Relation Between ψ 0 and ψmentioning

confidence: 99%

“…It approximates the maximum likelihood estimator [10], [12] and finds the location of the maximum in the power spectral density (PSD) estimate, or equivalently in the Schuster periodogram [13]. This method has been thoroughly analyzed [10], [14] even for arbitrary window functions [15]. The location of the maximum in the PSD is used to obtain the tone's frequency ψ 0 .…”

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confidence: 99%

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Bias and Variance in Frequency Estimation at the Leading Edge of a Peak in the Spectrum of a Windowed Signal Under Multipath Mitigation

Wagner

Schuster

Pfeil

et al. 2013

IEEE Trans. Instrum. Meas.

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Sinusoidal frequency estimation based on discrete Fourier transform provides accurate results for well-separated spectral tones. However, if a single sinusoid is disturbed by other tones, estimation accuracy may suffer significantly. In particular, the bias can increase considerably when the frequencies of the disturbances are close to that of the desired sinusoid. In addition to frequency estimation by maximization of the Schuster periodogram, examining a frequency located on the opposite side of the disturbance at the edge of the cost function may reduce its influence on the bias of the estimator. In this paper, we present an empirical appraisal of this bias reduction. Since our edge estimation procedure increases the variance of the estimated frequency, we also present an analytical method for assessing this increase. Possible applications are measurement or tracking tasks where frequency estimates with low bias are essential to the working of an overall measurement system. Further, we describe a method that combines the advantages of peak and edge estimation. All results were validated using simulations and data obtained from a frequency-modulated continuous-wave radar system.

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The Influence of Windowing on Bias and Variance of DFT-Based Frequency and Phase Estimation

Cited by 60 publications

References 21 publications

Radio-Acoustic-Sounding System – berührungslose und abstandsaufgelöste akustische Temperaturmessung im industriellen Umfeld

Radio-Acoustic-Sounding System – berührungslose und abstandsaufgelöste akustische Temperaturmessung im industriellen Umfeld

Model-Based Identification Method for Pulse Position Coded Surface Acoustic Wave Identification Tags

Bias and Variance in Frequency Estimation at the Leading Edge of a Peak in the Spectrum of a Windowed Signal Under Multipath Mitigation

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