1994
Donoho and Johnstone propose a method for reconstructing an unknown function f on brain signal [0,1] from noisy data di=f(ti )+σzi, i=0, …, n-1,ti=i/n, where the zi are independent and identically distributed standard Gaussian random variables. The reconstruction fˆ*n is defined in the wavelet domain by translating all the empirical wavelet coefficients of d toward 0 by an amount σ·√(2log (n)/n).
2002
Donoho and Johnstone propose a method for reconstructing an unknown function f on brain signal [0,1] from noisy data di=f(ti )+σzi, i=0, …, n-1,ti=i/n, where the zi are independent and identically distributed standard Gaussian random variables. The reconstruction fˆ*n is defined in the wavelet domain by translating all the empirical wavelet coefficients of d toward 0 by an amount σ·√(2log (n)/n).
2002
Induced Fear via Bone Conductive Hearing to foster P300 Adaptive Wavelet Deconstruction of Brain Signals from Brain Computer Interface "system/participants"
Brian Computer Interface (BCI) is a direct communication pathway between the brain and an external device. BCIs are often aimed at assisting, augmenting or repairing human cognitive or sensory-motor functions. EEG separation into target and non-target ones based on presence of P300 signal is of difficult task mainly due to their natural low signal to noise ratio, a new algorithm is introduced to enhance EEG signals and improve their Signal to Noise Ratio. Our denoising method is based on multi-resolution analysis via Independent Component Analysis (ICA) Fundamentals a combination of negentropy as a feature of signal and sub-band information from evoked or "self instigated " wavelet transformation.
2010
Gabor and wavelet (super)frames with Hermite and Laguerre functions
Luis Daniel Abreu CMUC, University of Coimbra, Portugal.
2010
Gabor and wavelet (super)frames with Hermite and Laguerre functions
Luis Daniel Abreu CMUC, University of Coimbra, Portugal.
Superframes are vector-valued versions of frames which provide a tool for sending several signals into a single channel (Multiplexing). They have a rich mathematical structure which has been thoroughly investigated in the last decade.
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