2-D DFT-DWT Application to Multidimensional Signal Processing

Some multidimensional signals may have different probability distribution of noise and frequency interference in different directions (horizontal and vertical, or space and time). It poses the question of how to extract desired signals from such complicated environment of noise and interference. It is difficult to extract by using classical DFT and DWT algorithms alone. To solve the problem, a hybrid 2-D transform, discrete Fourier transform-discrete wavelet transform (2-D DFT-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 directions. Under the transform, desired results can be obtained to take advantage of merits of both DFT and DWT. Also, simulation illustrates the application