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Slepian

Slepian is a surname associated with several notable figures and concepts in mathematics, statistics, and signal processing. The most prominent figure is David Slepian (1929–2016), an American mathematician and information theorist whose work spanned probability, coding, and spectral analysis.

In signal processing, the term Slepian sequences refers to the discrete prolate spheroidal sequences (DPSS). These

In probability theory, Slepian's inequality provides a comparison principle for Gaussian processes. It allows researchers to

In information theory and coding, the Slepian-Wolf theorem, established by David Slepian and Peter Wolf in 1973,

The name Slepian thus appears both as a surname of a notable scholar and as a descriptor

are
a
family
of
orthogonal
sequences
that
optimally
concentrate
energy
within
a
specified
time
interval
and
frequency
band.
They
arise
as
the
eigenvectors
of
a
certain
Toeplitz
operator
and
are
widely
used
for
spectral
estimation,
data
analysis,
and
noise
reduction
due
to
their
superior
concentration
properties.
bound
the
distribution
of
maxima
of
one
Gaussian
process
by
that
of
another
with
a
related
covariance
structure,
making
it
a
standard
tool
in
stochastic
analysis
and
extreme
value
theory.
characterizes
the
limits
of
lossless
data
compression
for
two
correlated
sources
when
the
encoders
operate
separately
but
decoding
occurs
jointly.
The
result
is
foundational
for
distributed
source
coding
and
network
information
theory.
for
several
influential
mathematical
and
engineering
concepts,
reflecting
a
lasting
impact
across
multiple
disciplines.