New Orthogonal Transforms for Signal and Image Processing

In the paper, orthogonal transforms based on proposed symmetric, matrices are created. These can be considered as generalized Walsh–Hadamard Transforms. The simplicity of calculating forward and inverse is one important features presented approach. conditions for creating defined. It shown that selection elements an matrix meets given conditions, it necessary to select only a limited number elements. general form orthogonal, symmetric having exponential also presented. Orthogonal basis functions created used expansion leading signal approximation. An sparse with variable parameters Various versions related full proposed. Fast computation in comparison fast algorithms selected discussed. Possible applications approximation examples image spectrum transform domains