Performances Comparison between Turbo Codes and Polar Codes

Performance Analysis of Turbo Codes, LDPC Codes, and Polar Codes over an AWGN Channel in the Presence of Inter Symbol Interference

“…Of course, the analysis of the performance of turbo codes, LDPC codes, and polar codes in the condition in which the impulse response of the channel was considered to be unitary (meaning the ideal situation) was carried out in the papers [ 19 , 20 ], where the BER vs. SNR curves for turbo codes, LDPC codes, and polar codes, using an AWGN channel without ISI, were drawn and where a much lower level of BER for a given SNR was observed.…”

“…More precisely, it was proposed to research the equalization and the estimation of an AWGN channel in the context of the use of the three most efficient codes; and indeed the turbo codes, LDPC codes, and polar codes proposed in [ 16 , 17 , 18 ] make it possible to achieve performances quite close to the Shannon limit, even over the AWGN channels. Some aspects related to coding and decoding the fields of use of turbo codes, LDPC codes, and polar codes were treated in [ 19 , 20 ]. In a few words, two recursive systematic convolution encoders separated by an interleaver are used to build a turbo encoder.…”

“…The landmark codes such as turbo, LDPC, and polar are widely used in modern communication system standards. Starting from the general results obtained in Section 5 of this paper, further results could be obtained using specific standards such as 3GPP-LTE, WiMAX, and WiFi, concerning turbo codes, or 5G machine type communication applications, such as ultra-reliable low-latency communications (URLLC) and massive machine-type communication (mMTC) concerning the LDPC and polar codes [ 19 , 20 ]. Several decoding and equalization receiver schemes designed for different standards have been proposed in the literature [ 21 , 22 , 23 ].…”

Polar Coding Aided by Adaptive Channel Equalization for Underwater Acoustic Communication

“…The transmitter performs polar encoding at a coding rate of 1/2. For comparison, the turbo equalization uses the same amount of training data to update the equalizer coefficients, and then uses a 1/2-rate recursive systematic convolution (RSC) encoder with the generator polynomial [𝐺 1 , 𝐺 2 ] = [5,7] for one frame test data to perform convolutional encoding. The convolutional encoded sequence is transmitted through the pseudo-random interleaver.…”

“…Combining adaptive DFE and turbo decoding is effective with the minimum symbol-error rate (MSER) criterion [5]. However, it is shown to be time-consuming [6,7].…”