Topics in matrix analysis
Orthogonal Transforms for Digital Signal Processing
Orthogonal Transforms for Digital Signal Processing
Anwendung schneller diskreter Spektraltransformationen zur translationsinvarianten Merkmalsgewinnung
Mustererkennung 1999, 21. DAGM-Symposium
Mustererkennung 2000, 22. DAGM-Symposium
Comparison of feature-list cross-correlation algorithms with common cross-correlation algorithms
EURASIP Journal on Applied Signal Processing
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Nonlinear spatial transforms and fuzzy pattern classification with unimodal potential functions are established in signal processing. They have proved to be excellent tools in feature extraction and classification. In this paper, we will present a hardware-accelerated image processing and classification system which is implemented on one field-programmable gate array (FPGA). Non-linear discrete circular transforms generate a feature vector. The features are analyzed by a fuzzy classifier. This principle can be used for feature extraction, pattern recognition, and classification tasks. Implementation in radix-2 structures is possible, allowing fast calculations with a computational complexity of O(N)up to O(N ċ ld(N)). Furthermore, the pattern separability properties of these transforms are better than those achieved with the well-known method based on the power spectrum of the Fourier Transform, or on several other transforms. Using different signal flow structures, the transforms can be adapted to different image and signal processing applications.