NASA Logo

NTRS

NTRS - NASA Technical Reports Server

Back to Results
Cramer-Rao Bound for Gaussian Random Processes and Applications to Radar Processing of Atmospheric SignalsCalculations of the exact Cramer-Rao Bound (CRB) for unbiased estimates of the mean frequency, signal power, and spectral width of Doppler radar/lidar signals (a Gaussian random process) are presented. Approximate CRB's are derived using the Discrete Fourier Transform (DFT). These approximate results are equal to the exact CRB when the DFT coefficients are mutually uncorrelated. Previous high SNR limits for CRB's are shown to be inaccurate because the discrete summations cannot be approximated with integration. The performance of an approximate maximum likelihood estimator for mean frequency approaches the exact CRB for moderate signal to noise ratio and moderate spectral width.
Document ID
19970014733
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Frehlich, Rod (NASA Marshall Space Flight Center Huntsville, AL United States)
Date Acquired
August 17, 2013
Publication Date
November 1, 1993
Publication Information
Publication: IEEE Transactions on Geoscience and Remote Sensing
Volume: 31
Issue: 6
ISSN: 0196-2892
Subject Category
Communications and Radar
Report/Patent Number
NAS 1.26:203746
NASA-CR-203746
Funding Number(s)
CONTRACT_GRANT: NAG8-253
Distribution Limits
Public
Copyright
Public Use Permitted.
Document Inquiry