DCT-IIIe based wavelet-like decomposition-reconstruction procedure with windowing for two-dimensional data - Case study

In the paper the possibility of efficient application of the Discrete Cosine Transform (DCT-IIIe), type III, even, to generate halfband filters windowed in time domain and used in the 2-dimensional (2D) wavelet-like decomposition-reconstruction scheme is investigated. The study is based on 6 test images. Comparative computations for varying length of the Hamming window and several image resolution options are used to present the possible trade-off between computations reduction coefficient (CRC) and resulting Peak Signal to Noise Ratio (PSNR). The results indicate that for tested images of size 512×512 the available CRC is about 57 times, while introduced distortions result in the PSNR value between 30dB and 36dB.