On the Application of Haar Functions

Recent interest in the application of Walsh functions suggests that Haar functions, close relatives of Walsh functions, may also be useful. In this primarily tutorial paper, Haar functions are reviewed briefly and the computational and memory requirements of the Haar transform are analyzed; applications are then discussed. It is concluded that, whereas Haar functions are unlikely to be useful in as many applications as Walsh functions may be, they seem especially well suited to data coding, edge detection, and, perhaps, multiplexing.