Adapted Wavelet Analysis from Theory to Software
Containing an overview of mathematical prerequisites, this detail-oriented book describes hands-on techniques for implementing special programs for signal analysis and other applications.
TABLE OF CONTENTS Adapted Wavelet Analysis from Theory to Software
Appendix C: Quadrature Filter Coefficients
Here we give the coefficients of some of the quadrature filters mentioned in the text. These are also listed on the diskette, in a form suitable for inclusion in Standard C programs.
C.1 Orthogonal Quadrature Filters
We first define a few quantities useful in getting full-precision values on arbitrary machines. They are, respectively, 
, 
, 
and 
.
#define SR2 (1.4142135623730950488)#define SR3 (1.7320508075688772935)#define SR10 (3.1622776601683793320)#define SR15 (3.8729833462074168852)
In addition, we precompute the quantities 
and 
:
#define A (2.6613644236006609279)#define B (0.2818103350856762928)<a name="1171"></a><a name="IDX-444"></a>
C.1.1 Beylkin Filters
The "Beylkin 18" filter was designed by placing roots for the frequency response polynomial close to the Nyquist frequency on the real axis, thus concentrating power spectrum energy in the desired band.
Beylkin 18
Low-pass High-pass -------- --------- 9.93057653743539270 E-02 6.40485328521245350 E-04 4.24215360812961410 E-01 2.73603162625860610 E-03 6.99825214056600590 E-01 1.48423478247234610 E-03 4.49718251149468670 E-01 -1.00404118446319900 E-02-1.10927598348234300 E-01 -1.43658079688526110 E-02-2.64497231446384820 E-01 1.74604086960288290 E-02 2.69003088036903200 E-02 4.29163872741922730 E-02 1.55538731877093800 E-01 -1.96798660443221200 E-02-1.75207462665296490 E-02 -8.85436306229248350 E-02-8.85436306229248350...
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