Denoising of Complex Signals using Multi band Complex Wavelets with Improved Thresholding

Abstract –– The dual-tree complex wavelet transform (DT-CWT) which utilizes two 2band discrete wavelet transform (DWT) was recently extended to Mband. In this paper we provide a simple construction method for an M-band DTCWT, with M = r where r, d Z. In particular, we show how to extend a given rband DT-CWT to an r – band one. For convenience, the case where r = 2, d = 2 is considered. However, the scheme can be extended to general {r, d} pairs straightforwardly .There are so many methods to denoise complex noisy signals, but this paper proposes an improved threshold method (soft thresholding with improved thresholding rule) used with M-band DTCWT to Denise the complex signals. Finally, the results obtained using the proposed algorithm is compared with the 2-band DTCWT algorithm.