Efficient Signal Transmission and Wavelet-based Compression


Abstract

In this paper we describe how digital signals can be transmitted
by analog carrier signals.  This is the method of pulse code 
modulation.  Transmission by pulse code modulation is widely 
used thanks to its abilities to withstand corruption by noise 
and to transmit multiple signals simultaneously.  Digital 
signals can also be used to compress analog signals, thus 
allowing for more rapid transmission, by employing wavelet series.
We shall describe how wavelet series are employed and compare 
them with Fourier series, showing that in many instances wavelet
series provide a better technique.