E-Book on How to design polar codes over wireless multipath fading channels

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Recent studies on polar codes for fading channels have mainly focused on constructing new specific polar codes suitable to particular fading channels. This results in a non-universal code structure, leading to continuous changes in the code structure based on the channel, which is not desirable in practice. To address this problem, this short e-book develop and propose a novel transceiver architecture that enables using the polar coding design of a binary input additive white Gaussian noise (BI-AWGN) channel for multi-path fading channels without causing any changes in the structure of the encoder and decoder sides.


As seen from the literature on polar coding design for wireless fading channels, it is noticed that all the previous studies on polar codes for fading channel have mainly focused on constructing new specific polar codes suitable to a particular fading channel.
However, changing the polar codes construction based on the channel is not desirable in practice,
since it would result in a continuous change and modification in the code construction based
on the channel type, which is considered to be a cumbersome, complex and inefficient process
especially for IoT-based applications.
Unlike previous works, where new specific codes are constructed based on the channel, in
this work, we propose a generic design solution, which enables us to use the same polar coding
design, adopted in AWGN channel, for fading channels. The design neither causes any change
in the encoder and decoder sides nor degrades the reliability performance. This is made possible
through canceling the channel fading effect by using special channel-based transformations along
with optimal power allocation1, so that a net, effective AWGN channel can be seen at the input
of the successive cancellation decoder (SCD), whose simplicity and low complexity make it
attractive to polar codes. In this work, a frequency selective fading channel is considered, which
is the most common observed channel in broadband wireless systems.

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