Theory and practice of wavelets in signal processing
by Jalal Karam
International Journal of Machine Intelligence and Sensory Signal Processing (IJMISSP), Vol. 1, No. 2, 2014

Abstract: The methods of Fourier, Laplace and wavelet transforms provide transfer functions and relationships between the input and the output signals in linear time invariant systems. This paper shows the equivalence among these three methods and in each case presenting an application of the appropriateness (Fourier, Laplace or wavelet) to the convolution theorem. In addition it is shown that the same holds for a direct integration method. The biorthogonal wavelets Bior3.5 and Bior3.9 are examined and the zeros distribution of their polynomials associated filters are located. Also, this paper presents the significance of utilising 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. The practical use 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.

Online publication date: Sat, 15-Nov-2014

The full text of this article is only available to individual subscribers or to users at subscribing institutions.

 
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.

Pay per view:
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.

Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Machine Intelligence and Sensory Signal Processing (IJMISSP):
Login with your Inderscience username and password:

    Username:        Password:         

Forgotten your password?


Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.

If you still need assistance, please email subs@inderscience.com