TY - JOUR T1 - The Analysis of Frequency Response for Pyramidal Directional Filter Banks AU - , Feng Peng AU - , Wei Biao AU - , Pan Ying-Jun AU - , Mi De-Ling JO - Asian Journal of Information Technology VL - 7 IS - 6 SP - 249 EP - 253 PY - 2008 DA - 2001/08/19 SN - 1682-3915 DO - ajit.2008.249.253 UR - https://makhillpublications.co/view-article.php?doi=ajit.2008.249.253 KW - Contourlet transform KW -frequency aliasing KW -poly-phase representation AB - Aiming at the frequency aliasing issue existing in Contourlet Transform, through analyzing Laplacian Pyramidal transform, making sure that neither of lowpass filter banks in Laplace pyramid transform satisfies Nyquist sampling theorem and cutoff frequency of stopband was over /2 was obviously the basic reason to the frequency aliasing in Contourlet Transform. Based on this, a lowpass filter which satisfies Nyquist sampling theorem was designed and an Non-aliasing Contourlet Transform was proposed, namely N-Contourlet Transform. Experimental Results of hard thresholding denosing indicated that N-Contourlet Transform denoising not only give a 2 dB ( = 30) higher PSNR than that of Contourlet Transform, but also effectively suppressed scratch after the latter denoised, providing a better visual effect. ER -