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Estimation of Doppler Spectrum Parameters Comparison between FFT-based processing and Adaptive Filtering Processing J. Figueras i Ventura 1, M. Pinsky 2, A. Sterking 3, A. Khain 2, H.W.J. Russchenberg 1 1 IRCTR-TU Delft 2 Institute of Earth Sciences-The Hebrew University of Jerusalem 3 Weizmann Institute of Science
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ERAD 2006: 18-22 Sept. 2006 2 Contents Signal and noise models of the adaptive processing Adaptive filter estimation Implementation of the two algorithms Comparison of the two algorithms
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ERAD 2006: 18-22 Sept. 2006 3 Model of the atmospheric radar signal For each range cell: Complex autoregressive series of first order with unknown coefficient Spectrum symmetric relative to average Doppler frequency
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ERAD 2006: 18-22 Sept. 2006 4 Calculation of Doppler spectrum parameters Doppler spectrum parameters Mean Doppler frequency: Doppler spectrum width:
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ERAD 2006: 18-22 Sept. 2006 5 Simulated Signal Simulated signal: Noise: uncorrelated additive normal complex white noise
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ERAD 2006: 18-22 Sept. 2006 6 Adaptive filter estimation Objective: Suppress noise Accurately estimate a
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ERAD 2006: 18-22 Sept. 2006 7 Adaptive filter estimation Recurrent estimation of a
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ERAD 2006: 18-22 Sept. 2006 8 Implementation of the algorithms
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ERAD 2006: 18-22 Sept. 2006 9 Comparison: Processing speed Number of operations: FFT: 6N log 2 N Adaptive: 41 N Advantage in real time operations !
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ERAD 2006: 18-22 Sept. 2006 10 Convergence of spectral moments Overestimation of Doppler spectrum width Mean Frequency: 0.5 Doppler width: 0.4
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ERAD 2006: 18-22 Sept. 2006 11 Estimation of weak signals ParameterGivenAdaptiveFFT 6 dB Clipping Signal Power 2.752.85NaN Mean Velocity 11.03NaN Doppler width 0.30.45NaN SNR=0.09
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ERAD 2006: 18-22 Sept. 2006 12 Comparison: Real Data Clipping:
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ERAD 2006: 18-22 Sept. 2006 13 Conclusion Adaptive Doppler processing: Good estimation of the Reflectivity and mean Doppler velocity Overestimation of Doppler spectrum width Faster signal processing than FFT processing Estimation of weaker signals Simple signal model: Bi-modal atmospheric signal?
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