INDEX
Bessel’s Inequality
closure, 191 compression
with Daubechies wavelets
with FFT
with general wavelets
with Haar wavelets
computational complexity (number of operations)
convergence
comparison between uniform and L2,
in L2
pointwise
uniform
convergence in the mean
convergent sequence
convolution
discrete periodic signals
functions
operator
periodic function
sequences
data compression
via Fourier Series
via linear predictive coding
with general wavelets
with Haar wavelets
Daubechies scaling function
Daubechies wavelet
decomposition
algorithm
summary
via Daubechies wavelets
via Haar
via multiresolution analysis
downsampling
Fast Fourier Transform
filter
causal
low-pass
time invariant
filtering
via Fourier Series
via wavelets
Fourier coefficients
Fourier inversion formula
Fourier Series
complex form of,
computation of,
over other intervals, AA-Ad
convergence at a point of continuity
convergence at a point of discontinuity
convergence in the mean
cosine and sine expansions,
data compression
filtering with
history of,
partial differential equations,
uniform convergence of,
Fourier Transform
adjoint of
basic properties,
convolution
definition of
discrete,
discrete
definition of
properties of,
inverse of
Fredholm Alternative
frequency band-limited
Gibbs phenomenon
Gram Schmidt orthogonalization
Haar scaling function
definition
properties
Haar wavelet
Haar wavelet function
heat equation
high pass filter
impulse response function
inner product
on C
on Rn,
general definition
inverse ...
