Thomas Wagner, Stefan Schuster, Reimar Pfeil, Andreas Stelzer,
"Bias and Variance in Frequency Estimation at the Leading Edge of a Peak in the Spectrum of a Windowed Signal Under Multipath Mitigation"
, in IEEE Transactions on Instrumentation and Measurement, Vol. 62, Nummer 7, Seite(n) 1935-1950, 2013, ISSN: 0018-9456
Bias and Variance in Frequency Estimation at the Leading Edge of a Peak in the Spectrum of a Windowed Signal Under Multipath Mitigation
Sprache des Titels:
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.
Sprache der Kurzfassung:
IEEE Transactions on Instrumentation and Measurement