A new multi-resolution theory based on orthogonal spline

Orthogonal complex bases of spline, which are orthogonal to each other, are proposed in this paper. The proposed orthogonal spline bases make up spline function space of periodic zone. A new multi-resolution theory based on orthogonal spline base is proposed in the paper. Other than bases of wavelet theory, orthogonal spline bases are totally orthogonal to each other, therefore there is no loss or getting in signal when we decompose the signal. The theory is applied to signal processing, the result showed potential application in signal processing.