Derivative Sampling Algorithm Based on Wavelet
Liping Jiang · Communications technology · 2009
A derivative sampling theory in wavelet space is studied,the precondition and theory basis beyond the Nyquist rate is given,and the sampling theory is extended to the non-bandlimited signal field. For any signal in the space spanned by compactly supported scaling function,its wavelet coefficients could be estimated by the samples of signal and its derivative,so the reconstruction expression is obtained. During the procedure of signal reconstruction,only finite impulse response (FIR) filters are used,thus reducing the difficulty of physical realization. The simulation result indicates that this method is effective,and the relative reconstruction error is less than 0.11%.