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1344 IEEE TRANSACTIONS ON COMMUNICATIONS, VOL. 52, NO. 8, AUGUST 2004 Transmission of Nonuniform Memoryless Sources
 

Summary: 1344 IEEE TRANSACTIONS ON COMMUNICATIONS, VOL. 52, NO. 8, AUGUST 2004
Transmission of Nonuniform Memoryless Sources
via Nonsystematic Turbo Codes
Guang-Chong Zhu, Member, IEEE, Fady Alajaji, Senior Member, IEEE, Jan Bajcsy, Member, IEEE, and
Patrick Mitran, Student Member, IEEE
Abstract--We investigate the joint source-channel coding
problem of transmitting nonuniform memoryless sources over
binary phase-shift keying-modulated additive white Gaussian
noise and Rayleigh fading channels via turbo codes. In contrast
to previous work, recursive nonsystematic convolutional encoders
are proposed as the constituent encoders for heavily biased
sources. We prove that under certain conditions, and when the
length of the input source sequence tends to infinity, the encoder
state distribution and the marginal output distribution of each
constituent recursive convolutional encoder become asymptoti-
cally uniform, regardless of the degree of source nonuniformity.
We also give a conjecture (which is empirically validated) on the
condition for the higher order distribution of the encoder output to
be asymptotically uniform, irrespective of the source distribution.
Consequently, these conditions serve as design criteria for the

  

Source: Alajaji, Fady - Department of Mathematics and Statistics, Queen's University (Kingston)

 

Collections: Engineering