We look at the design of oversampled filter banks and the resulting framelets. The undecimated wavelet transform is known for its shift invariant properties and has applications in areas such as denoising [7]. The framelets we will design, will have improved shift invariant properties over decimated wavelet transform. Shift invariance has applications in many areas particularly denoising [6], [...

This paper introduces an approximately shift invariant redundant dyadic wavelet transform the phaselet transform that includes the popular dual-tree complex wavelet transform of Kingsbury [1] as a special case. The main idea is to use a finite set of wavelets that are related to each other in a special way and hence called phaselets to achieve approximate shift-redundancy; bigger the set better...

In this paper, we propose a new video denoising algorithm which uses an efficient wavelet based spatio-temporal filter. The filter first applies 2D discrete wavelet transform (DWT) in horizontal and vertical directions on an input noisy video frame and then applies 1-D discrete cosine transform (DCT) in the temporal direction in order to reduce the redundancies which exist among the wavelet coe...

The record of human brain neural activities, namely electroencephalogram (EEG), is generally known as a non-stationary and nonlinear signal. In many applications, it is useful to divide the EEGs into segments within which the signals can be considered stationary. Combination of empirical mode decomposition (EMD) and Hilbert transform, called Hilbert-Huang transform (HHT), is a new and powerful ...

This paper investigates P300 features extracted through wavelet transform for BCI systems. Feature extraction is one of the key issues of signal processing for P300 based brain-computer interface systems (BCI). This paper examines and highlights the significance of using wavelets in P300 based BCI systems. We also mention various methods of feature extraction from P300 signals. The analysis sug...

The spectral distribution of energy varies between normal ECGs and those from patients post infarct or with ventricular hypertrophies. This suggests that discriminating between normal and abnormal conditions may be possible on the basis of differences in the distribution of spectral energy. We compare a reduced Discrete Wavelet Transform characterisation of an ECG QRS complex using three differ...

In this paper, an analog implementation of the Wavelet Transform (WT) is presented. The circuit is based on the Dynamic Translinear (DTL) circuit technique and implements, by means of cascade connected complex first order systems, an analog filter whose impulse response is a Gabor function, a function most widely used for frequency analysis among wavelet functions. From simulations, it is demon...