Abstract
Wavelet transform is a well-known and remarkable way of time-frequency analysis and it is used in various fields. Although an important problem in wavelet transform is how to select mother wavelet, the unified selection of mother wavelet is not yet realized at present. In this paper, we classify a mother wavelet into the complex type and the real type. The real type component is further divided into a symmetric type, an skew-symmetric type and an asymmetric type by the symmetric property of the function. The properties of so classified mother wavelets are examined by a reference signal. The selection and applicability of each mother wavelet are also examined, and it is found that the complex type mother wavelet is most efficient for time-frequency analysis.
