Theoretical equivalency and practical advantages of wavelet based paradigms in signal processing
Jalal Karam · International Conference on Electronics, Hardware, Wireless and Optical Communications · 2011
This paper presents a rundown of the significance of utilizing wavelets as effective tools in processing speech signals for common multimedia applications in general, and for recognition and compression in particular. Theoretically and practically, wavelets have proved to be effective and competitive. First, we prove mathematically the equivalency of various linear time-invariant methods with that of the Wavelet Transform (WT) by considering the input of a general sinusoidal signal. The utilization of the Continuous Wavelet Transform (CWT) in processing and analysis of speech is then presented along with explanations of how the human ear can be thought of as a natural wavelet transformer of speech. This generates a variety of approaches for applying the (CWT) to many paradigms analysing speech, sound and music. For perception, the flexibility of implementation of this transform, allows the construction of numerous scales and we include two of them. Results for speech recognition and speech compression are then included.