Four Band Cardinal Orthogonal Scaling Functions and Wavelets in Higher Dimensions
Xin Cheng Zhang · Applied Mechanics and Materials · 2013
Sampling theorem plays an important role in the engineering such as signal processing, image processing, digital communications, and so on. In this paper, the symmetry property of cardinal orthogonal scaling function is discussed. Then, a 4-band cardinal orthogonal scaling function from the relation between the highpass filter coefficients and wavelet is provided. Thus, sampling theorem in the wavelet subspace is obtained.