A New State Space-Based Approach for the Estimation of Two-Dimensional Frequencies and Its Parallel Implementations
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概要
- 論文の詳細を見る
In this paper, we present a new state space-based approach for the two-dimensional (2-D) frequency estimation problem which occurs in various areas of signal processing and communication problems. The proposed method begins with the construction of a state space model associated with the noiseless data which contains a summation of 2-D harmonics. Two auxiliary Hankel-block-Hankel-like matrices are then introduced and from which the two frequency components can be derived via matrix factorizations along with frequency shifting properties. Although the algorithm can render high resolution frequency estimates, it also calls for lots of computations. To alleviate the high computational overhead required, a highly parallelizable implementation of it via the principle subband component (PSC) of some appropriately chosen transforms have been addressed as well. Such a PSC-based transform domain implementation not only reduces the size of data needed to be processed, but it also suppresses the contaminated noise outside the subband of interest. To reduce the computational complexity induced in the transformation process, we also suggest that either the transform of the discrete Fourier transform (DFT) or the Haar wavelet transform (HWT) be employed. As a consequence, such an approach of implementation can achieve substantial computational savings; meanwhile, as demonstrated by the provided simulation results, it still retains roughly the same performance as that of the original algorithm. A comparison with other existing algorithms has been made as well to justify the proposed approaches.
- 社団法人電子情報通信学会の論文
- 1997-06-25
著者
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FANG Wen-Hsien
Department of Electronic Engineering, National Taiwan University of Science and Technology
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Fang W‐h
National Taiwan Univ. Sci. And Technol. Taipei Twn
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Fang Wen-hsien
Department Of Electronic Engineering National Taiwan University Of Science And Technology
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CHANG Shun-Hsyung
Department of Electrical Engineering, National Taiwan Ocean University
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Chu Yi
Department of Internal Medicine and Pharmacology, University of Iowa Carver College of Medicine
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Chu Yi
The Department Of Electronic Engineering National Taiwan University Of Science And Technology
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Chu Yi
Department Of Electronic Engineering Ching Yun University
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Chang S‐h
The Department Of Electrical Engineering National Taiwan Ocean University
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Chang Shun-hsyung
Department Of Electrical Engineering National Taiwan Ocean University:department Of Microelectronic
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