Noise subspace approach for frequency estimation of two-dimensional harmonics in zero-mean multiplicative and additive noise. (English) Zbl 1453.62659
Summary: In this paper, a noise subspace (NS) method is proposed for estimating frequencies of two-dimensional harmonics in the presence of zero-mean multiplicative and additive noise. The proposed method is based on a special structured data matrix, the singular vectors of the matrix and a special basis of the NS which is generated by some of these vectors. It is observed that the estimators are consistent and work quite well in terms of biases and mean square errors. It is also observed that the method can be used to estimate accurately the frequencies of the evanescent component of texture.
MSC:
| 62M40 | Random fields; image analysis |
| 94A12 | Signal theory (characterization, reconstruction, filtering, etc.) |
Keywords:
two-dimensional harmonics; multiplicative noise; singular vectors; basis; consistent estimators; textureReferences:
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