April 2019
Intermediate to advanced
624 pages
16h 54m
English
Content preview from Discrete Wavelet Transformations, 2nd EditionBecome an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
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PREFACE
What Has Changed?
Prior to the first edition appearing in January 2008, I had taught a version of this course eight times. Supported by National Science Foundation grants (DUE) I began offering workshops and mini‐courses about the wavelets course in 2006. Several of the attendees at these events taught a wavelets course at their home institutions and fortunately for me, provided valuable feedback about the course and text. A couple of popular points of discussion were the necessity of a sophomore linear algebra class as a prerequisite and possibility of using non‐Fourier methods for the ad hoc filter development. These two points were the primary motivating factors for the creation of the second edition of the text.
While I am not ready to claim that a sophomore linear algebra course is not needed as a prerequisite for a course in wavelets, I am comfortable saying that for a course constructed from particular topics in the book, the necessary background on vectors and matrices can be covered in Chapter 2. In such a case, a prerequisite linear algebra course serves to provide a student with a more mathematical appreciation for the material presented.
The major change in the second edition of the book is the clear delineation of filter development methods. The book starts largely unchanged through the first three chapters save for the inclusion of a section on convolution and filters in Chapter 2. The Haar wavelet transformation is introduced in Chapter 4 as a tool that efficiently ...
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I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.