Ten lectures on wavelets
A family of polynomial spline wavelet transforms
Signal Processing
An introduction to wavelets
A friendly guide to wavelets
Fractional Splines and Wavelets
SIAM Review
Wavelet methods for ground penetrating radar imaging
Journal of Computational and Applied Mathematics
Application of the wavelet transform to acoustic emission signalsprocessing
IEEE Transactions on Signal Processing
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Wavelet methods play a significant role in signal processing. They are multifaceted tools and many choices and alternatives are open. Particularly, the Discrete Transform leads us to decompose the given signal in a filter bank, or time scale-scheme called multiresolution analysis. Then, the wavelet coefficients reflect the signal information in an efficient structure. Wavelet packets, in a second and deeper analysis, refine the scheme and they give us more frequency precision. In this article, we applied these techniques in a spline framework to process Doppler radar signals. Over-the-horizon-Radars operate in the High Frequency band; they are able to detect targets beyond the horizon and are employed in many applications. The radar operates for long periods of time without interruption; this requires analyzing the echo signal during the time of operation. For this case, we propose an adaptation of Mallat's algorithm; the method compute the wavelet's coefficients of consecutive intervals of the signal in a multiresolution analysis framework. The coefficients are calculated and used efficiently to estimate the radial velocity of the target over the time.