By Topic

The discrete time wavelet transform: its discrete time Fourier transform and filter bank implementation

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Hanna, M.T. ; Dept. of Eng. Math. & Phys., Cairo Univ., Fayoum, Egypt ; Mansoori, S.A.

Viewing the discrete time wavelet transform DTWT[m,n] of a sampled signal s(nT) as a sequence in n, a closed-form expression is derived for its Discrete Time Fourier Transform (DTFT) D(m)(e) in terms of the DTFTs of the sampled mother wavelet ψ(nT) and sampled signal s(nT). Next, an expression is derived for the output Y(m)(e) of a filter bank defined by the digital filters a[n] and b[n] and excited by s(nT). The filter a[n] emerged as an ideal low-pass filter, and the filter b[n] turned out to be a time-reversed and complex conjugated version of the sampled mother wavelet ψ(nT)

Published in:

Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on  (Volume:48 ,  Issue: 2 )