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International Journal of Engineering &Technology, 8 (4) (2019) 398-401
International Journal of Engineering & Technology
Website: www.sciencepubco.com/index.php/IJET
Research paper
Performance analysis of highly improved hybrid turbo
codes for 4G wireless networks
M. Jose Raj
1
*, Dr.Sharmini Enoch
2
1
Research Scholar Dept of ECE, Noorul Islam Center for Higher Education Kanyakumari District, Tamilnadu, India
2
Professor Dept of ECE, Noorul Islam Center for Higher Education Kanyakumari District, Tamilnadu, India
*Corresponding author E-mail:
Abstract
Efficient error correcting codes are essential in modern digital communication systems. Highly Improved Hybrid Turbo Code (HIHTC)
is a low complex error and efficient error correcting code with excellentBit Error Rate (BER) which is comparable to Low Complexity
Hybrid Turbo Codes (LCHTC), Improved Low Complexity Hybrid Turbo Codes (ILCHTC) and other Hybrid Turbo Codes. Rate 1/3
HIHTC shows a BER of 10-5 for E b/No of 1.7 dB which is closer to the E b/No of Improved Low Complexity Hybrid Turbo Codes. In
this paper we analyze the performance of HIHTC in comparison with otherLow Complexity Hybrid Turbo Codes, for their performance
in 4G and 5G wireless networks
Keywords:Zigzag-Hadamard (ZH); A Posteriori Probability (APP); Bit Error Rate (BER); Decoder Complexity(DC); Hybrid Turbo Code (HTC).
1. Introduction
Shannon’s limit gives the relationship between Signal to Noise
Ratio and Channel Capacity of a communication channel. A relia-
ble and efficient error correcting code is essential for error free
communication and it should obey the Shannon’s limit rule. Since
reflection of signals in multiple channels and fading of signals
lead to errors the error correcting code should be efficient with
low BER. Turbo convolution codes (TCC) [2] is the efficient error
correcting code with better BER. But the decoder complexity of
TCC is more. The hardware requirement is more and need more
complex Trellis decoding process to decode one bit. MAP based
algorithmafter puncturing is used to improve the code rate .But the
performance is not much improved. HIHTC [1] is the improved
version of ILCHTC which is the combination of TCC and ZH
codes and hence called Hybrid Low Complexity Hybrid Turbo
Code.. In HIHTC Complexity is very much reduced and BER is
improved and approaches Shannon’s limit. We analyze the per-
formance of Hybrid Low Complexity Hybrid Turbo Code for high
speed data rates in 4G and 5G wireless networks.
2. Encoder description
HIHTC encoder using Zigzag [5] Hadamard code and Recursive
Systematic Convolution (RSC) code as shown in Fig.(1)
Fig. 1:HIHTC Encoder.
The HIHTC overall encoder has two constituent encoders. The
first encoder is the RSC encoder and the second one is the zig-
zaghadamard encoder. Initially the data is directly given to the
encoder, then the data is interleaved using a random interleaver
and then encoded by the convolution encoder and the interleaved
data is given to the zig-zaghadamard encoder. Finally the overall
data is given to the decoders.
In HIHTC the information bits are arranged in a rectangular array
of size PxQ
(p + (j – 1) X q)
th
information bit is denoted by d( j, k)
d = {d(j, k)}, 1 ≤ j ≤ P and 1 ≤ k ≤ Q
ZH
m
(k) = ∑ d(h, k) + ZH
m
(k − 1)
J
j=1
mod
P- row length of array matrix
Q- Column length of array matrix
d- encoded data bit