Errata for
Essential Wavelets for Statistical
Applications
and Data Analysis
- (p. 3) In Figure 1.1, the labels for the three sets of plots
should be j=1, j=2, and j=3 rather than
j=0, j=1, and j=2
- (p. 10) The J_0 should have a minus sign before it in
the left-hand limit of the interval (five lines under the displayed
equation).
- (p. 13) In the first equation, the second summation should be over
k rather than over l.
- (p. 13) In the third displayed equation, there should be "(x)"
just before the equals sign.
- (p. 13) In the last equation, neither norm should be squared.
- (p. 14) Just under the first displayed equation (for V_j), the
second sentence should read "Each subspace V_j consists of functions
that are piecewise constant over intervals of exactly half the
length of those for V_{j-1} (and twice the length of those for
V_{j+1})."
- (p. 20) The coefficient values for j=1, k=-4 and for
j=1, k=3 should both be 0.9805. Here's the
corrected table.
- (p. 21) The coefficient value for j=0, k=-2 should be
-0.9207 and that for j=0, k=1 should be 0.9207. Here's the
corrected table.
- (p. 122) In the second-to-last line of the second set of equations,
the wavelet function should be squared.
- (p. 131) In the last equation on the page, the right-hand side
should be multiplied by n.
- (p. 148) In the first displayed formula on the page, there should be
a (1/d) on the right hand side.
- (p. 159) In equation (8.8), the superscript on the second threshold
value in the equation should be n/2 rather than n.
- (p. 162) In the first displayed formula on the page, the d
should be a w.
- (p. 175) In the last sentence on the page, j_i = i should
read instead j_i = i-1. Also, the limits on the union in
Equation 9.4 should run from i=0 to infinity. For further
reading on this topic, see "Entropy-based Algorithms for Best Basis
Selection" by Coifman and Wickerhauser, IEEE Transactions on
Information Theory, Vol. 38, Number 2, pp. 713-718 (1992).
- (p. 178) In Figure 9.6, the G's and the H's should be switched.
To be consistent, the G's and H's should be switched in Figure 9.7 as
well.
Many thanks to Harry Dwyer, Tom Early, Mario Figueiredo, Mark Fowler,
Jae Keun Jo,
Ted Norminton, Fanis Sapatinas, Dai Wei-Wen, and others for pointing
out these errors. Of course, I take responsibility for them. Any
other errors? Please e-mail
me.
R. Todd Ogden
Last modified: Fri Oct 17 09:21:20 CDT