Introduction
:
Transform
coding is an alternative to predictive
coding to compress sources with
memory. While the optimal transform for
Gaussian sources is known to be
Karhunen Loeve Transform (KLT), the
transform coding problem of
non-Gaussian sources remain largely an open
problem, due to the
dependence of quantization error to the
source distribution. This
dependency is highlighted in the distributed
transform coding case
where quantizations typically involve
Wyner-Ziv mappings. As a remedy,
we investigated the optimal transform in
conjunction with dithered
quantization since dithered quantization
provides reconstruction errors
that are independent of the source
distribution. We derived the optimal
transform which is KLT followed by a
diagonal scaling matrix that
depends on the bit allocation. This
transform is optimal for all
sources with fixed rate dithered
quantization.
Results :
Joint optimization
of transform coding and dithered
quantization was derived. The optimal
transform for dithered quantizers differs
from KLT and is optimal for
any source distribution (not necessarily
Gaussian). Future work will
focus on extending the analysis of transform
coding to distributed
coding with dithered quantizers.
Moreover, we studied the optimal transform
coding problem for non-Gaussian sources, with
conventional optimal quantizers. We derived
the necessary and sufficient condition for
optimality of an orthogonal transform and
proposed an algorithm, that iteratively
imposes this condition for optimality. We
extended our approach to multierminal
settings, and discovered the optimal
transforms for transform coding in
networks.
An interesting property of the problem of
predictive coding of
correlated sources with memory (unlike the
case of a singles source) is
that reconstruction errors at the decoder
are still correlated in time,
since time correlation cannot be fully
utilized at the encoders by the
nature of the problem. Whitened
reconstruction errors in audio-visual
signals are perceptually preferable,
especially at low bitrates. One
way of rendering the reconstruction error
white is by dithered
(randomized) quantization where a
pseudo-random dither signal is added
to the source prior to entropy coded uniform
quantization and identical
dither is subtracted at the decoder side.
Dithered quantization is
known to underperform deterministic
quantization at low bitrates due to
its use of uniform quantization. As a
remedy, we extended the
conventional dithered quantization to
nonuniform case by employing
dithering within the so-called companded
domain. We derived the
necessary conditions of optimality of such a
compander mapping and
developed an iterative method to optimize
the compander based on the
derived conditions. The experimental results
show that the nonuniform
dithered quantization outperforms the
conventional uniform randomized
quantizer, while preserving the whiteness of
the reconstruction error.
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)
Results :
Optimal
nonuniform dithered quantization was derived
and implemented.
Nonuniform dithered quantization
significantly outperforms the
conventional uniform dithered quantization,
and is particularly
beneficial for distributed coding of sources
with memory, as it avoids
correlated reconstruction errors which are
perceptually unacceptable. The comparative
results are below, where we prposed three
new quantization schemes: Quantizer 1 is the
unconstrained randomized quantizer, Quantizer 2
is the proposed randomized quantizer with
statistical benefits and Quantizer 3
is the deterministic quantizer with
identical statistical benefits. As
shown, all otuperfom the conventional Uniform
Dithered Quantizer significantly.
Variable rate comparison
Fixed rate comparison
Related publications:
E.Akyol
and K. Rose,
``Nonuniform Dithered Quantization,'' Proc.
IEEE Data Compression
Conference, pp. 435, March 2009.
E.Akyol
and K. Rose, ``On
Transform Coding with
Dithered Quantizers,'' Proc. IEEE Data
Compression Conference, pp.
243-251, March 2009.
E. Akyol and K. Rose, A Necessary and
Sufficient Condition for Transform Optimality
in Source Coding, Proc. of IEEE Int. Symposium
on Information Theory Aug 2011
E. Akyol and K. Rose, Towards Optimality in
Multiterminal Transform Coding, Proc. IEEE
Data Compression Conference (DCC), April, 2012
E. Akyol and K. Rose, On Constrained
Randomized Quantization, Proc. IEEE Data
Compression Conference (DCC), April, 2012
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