Accuracy Evaluation of Doppler Velocity on a Spaceborne Weather Radar through a Random Signal Simulation

Abstract Digitized signals for a spaceborne weather radar are generated to inspect a Doppler signal processor, in which the digital signals are converted to analog through an arbitrary wave generator. A conventional Rice harmonic analysis is applied to include fluctuations of Fourier coefficients explicitly in a time series rather than in an ensemble. The accuracy of Doppler velocity is studied through this simulation for a mean estimator of contiguous pulse-pair operation in a space mission, characterized by a low signal-to-noise ratio (SNR) and a short coherence time. A linear perturbation formula is shown to deviate from the simulation as the SNR decreases and the pulse-pair interval increases. Furthermore, a theoretical limit in measurement accuracy is derived, beyond which the correlation signal is to be practically regarded as white noise, losing the physical meaning of measurement.

[1]  Jacques Testud,et al.  Proposal for a Spaceborne Dual-Beam Rain Radar with Doppler Capability , 1993 .

[2]  José M. N. Leitão,et al.  Nonparametric estimation of mean Doppler and spectral width , 2000, IEEE Trans. Geosci. Remote. Sens..

[3]  S. Rice Mathematical analysis of random noise , 1944 .

[4]  Dusan S. Zrnic,et al.  Simulation of Weatherlike Doppler Spectra and Signals , 1975 .

[5]  D. Sirmans,et al.  Numerical Comparison of Five Mean Frequency Estimators , 1975 .

[6]  Hiroshi Kumagai,et al.  A Proposal of Pulse-Pair Doppler Operation on a Spaceborne Cloud-Profiling Radar in the W Band , 2002 .

[7]  D. Zrnic,et al.  Spectral Moment Estimates from Correlated Pulse Pairs , 1977, IEEE Transactions on Aerospace and Electronic Systems.

[8]  E. Clothiaux,et al.  The Potential of 8-mm Radars for Remotely Sensing Cloud Drop Size Distributions , 1997 .

[9]  Richard J. Doviak,et al.  Doppler Radar with Polarization Diversity. , 1973 .

[10]  Dusan Zrnic,et al.  Estimation of Spectral Moments for Weather Echoes , 1979, IEEE Transactions on Geoscience Electronics.

[11]  D. Zrnic Spectrum Width Estimtes for Weather Echoes , 1979, IEEE Transactions on Aerospace and Electronic Systems.

[12]  Ziad S. Haddad,et al.  Spaceborne radar measurements of vertical rainfall velocity: the non-uniform beam filling considerations , 2001, IGARSS 2001. Scanning the Present and Resolving the Future. Proceedings. IEEE 2001 International Geoscience and Remote Sensing Symposium (Cat. No.01CH37217).

[13]  Satoru Kobayashi,et al.  A Unified Formalism of Incoherent, Quasi-coherent, and Coherent Correlation Signals on Pulse-Pair Doppler Operation for a Cloud-Profiling Radar: Aiming for a Space Mission , 2002 .