Efficient algorithm for estimating the parameters of two dimensional chirp signal

Two dimensional chirp signal has been used for modeling gray scale symmetric images in the statistical signal processing literature. In this paper we propose a computationally efficient algorithm for estimating different parameters of a two dimensional chirp signal model in presence of stationary no...

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Bibliographic Details
Published in:Sankhyā. Series B (2008) 2013-05, Vol.75 (1), p.65-89
Main Authors: Lahiri, Ananya, Kundu, Debasis, Mitra, Amit
Format: Article
Language:English
Subjects:
Algorithms
Chirp signals
Effectiveness
Efficiency
Estimating techniques
Estimation methods
Estimators
Initial guess
Least squares
Mathematics and Statistics
Parametric models
Preliminary estimates
Sample size
Signal processing
Simulation
Statistical variance
Statistics
Two dimensional modeling
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Summary:Two dimensional chirp signal has been used for modeling gray scale symmetric images in the statistical signal processing literature. In this paper we propose a computationally efficient algorithm for estimating different parameters of a two dimensional chirp signal model in presence of stationary noise. Starting from a suitable initial guess value, the proposed method produces estimators which are asymptotically equivalent to the corresponding least squares estimators. We also discuss how to obtain the initial estimates suitably. Some simulation experiments have been performed to see the effectiveness of the proposed method, and it is observed that the proposed estimators perform very well.
ISSN:0976-8386
0976-8394
DOI:10.1007/s13571-012-0048-x