Two-Dimensional Hybrid Transform (DCT-DWT) for 2-D Signal Processing

Some 2-D signals may have different noise and frequency interference in different directions (horizontal and vertical, or space and time). It is difficult to extract desired signals from such complicated environment of noise and interference by using classical DWT and DCT algorithms. To solve the problem, a hybrid 2-D transform, discrete cosine transform-discrete wavelet (2-D DCT-DWT), with definitions, properties and algorithms, is developed for the hybrid 2-D signal processing. The hybrid transform can be used to remove the noise or interference in 2-D signals from different direction. Under the transform, the 2-D signals are time-frequency ones, one dimensional components to be frequency ones, while the other dimensional components to be time ones. Simulation illustrates the application