RRNS-Convolutional encoded concatenated code for OFDM based wireless communication

Shahana, T. K.; Jose, Babita R.; James, Rekha K.; Jacob, K. Poulose; Sasi, Sreela

doi:10.1109/icon.2008.4772571

Cited by 4 publications

(5 citation statements)

References 9 publications

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“…By using 2r (r ≥ 1) redundant moduli, r errors can be detected and corrected [19]. The residues in RNS serve as multiple data communication channels (fault tolerant; every digit result is completely independent) [22].…”

Section: Redundant Residue Number Systemmentioning

confidence: 99%

Residue Number System Fade Mitigation Technique with Error Detection and Correction on a Satellite Communication Link

Akobre¹,

Daabo²,

Salifu³

2021

NET

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Rain fade is the loss of signal power at the receiver of a telecommunication system mainly due to absorption and scattering caused by rain in the transmission medium, especially at frequencies above 10 GHz. In order to combat the loss of the signal power at the receiver, there is the need to employ rain fade mitigation techniques. Consequently, researchers have been studying how rain affects the signal in different geographical locations as well as proposing some mitigation techniques. Power control is one of the mitigation techniques that have been proposed. But this technique has some associated challenges. Increasing the power will lead to an increase in cost of transmission which will eventually be passed on to the consumer thereby making satellite services expensive. It requires high power in uplink and downlink which increases the burden either on user terminal or satellite payload. Also, because of health concerns there is a limit to the amount of power that can be radiated to the ground and this is governed by international agreements. Another power management drawback in using this technique is that, uplink power control is not efficient in directing the added power to only the ground station experiencing path attenuation, because the additional power is distributed to all locations within the satellite antenna coverage area. In this paper, we address the power control challenges, by leveraging on the inherent properties of Residue Number System (RNS) and Redundant Residue Number System (RRNS) to propose an RNS architecture using the moduli set {2 2n+1 -1, 2 2n -1, 2 2n , 2 4n+1 -1, 2 2n +1} that can mitigate rain fade in the satellite link as well as detect and correct multiple errors. In digital communication systems, the bit energy, e b , is the most important parameter in determining the communications link performance. Numerical analysis shows that the proposed scheme performs better than the traditional method as indicated in the high energy per bit value obtained in the proposed system in comparison with the traditional method, all other things being equal.

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Section: Redundant Residue Number Systemmentioning

confidence: 99%

Residue Number System Fade Mitigation Technique with Error Detection and Correction on a Satellite Communication Link

Akobre¹,

Daabo²,

Salifu³

2021

NET

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“…Codes of RNS have found application in digital signal processing (DSP) systems due to their high speed. The works [11][12][13][14] present mathematical models of special DSP as well as their circuit solutions, use of which allows for orthogonal signal transformations in real time.…”

Section: Introductionmentioning

confidence: 99%

“…Depending on the multiplicity of the error being corrected, developers determine the number of irreducible polynomials that are used to obtain the generating polynomial. For example, we can use the code (15,11) and the generating polynomial g(x) = x 4 + x + 1 in order to correct a single error, which is understood as a distortion of one binary digit in a code combination. This code is defined over the Galois field GF (2 4 ).…”

Section: Introductionmentioning

confidence: 99%

Error-Correction Coding Using Polynomial Residue Number System

et al. 2022

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There has been a tendency to use the theory of finite Galois fields, or GF(2n), in cryptographic ciphers (AES, Kuznyechik) and digital signal processing (DSP) systems. It is advisable to use modular codes of the polynomial residue number system (PRNS). Modular codes of PRNS are arithmetic codes in which addition, subtraction and multiplication operations are performed in parallel on the bases of the code, which are irreducible polynomials. In this case, the operands are small-bit residues. However, the independence of calculations on the bases of the code and the lack of data exchange between the residues can serve as the basis for constructing codes of PRNS capable of detecting and correcting errors that occur during calculations. The article will consider the principles of constructing redundant codes of the polynomial residue number system. The results of the study of codes of PRNS with minimal redundancy are presented. It is shown that these codes are only able to detect an error in the code combination of PRNS. It is proposed to use two control bases, the use of which allows us to correct an error in any residue of the code combination, in order to increase the error-correction abilities of the code of the polynomial residue number system. Therefore, the development of an algorithm for detecting and correcting errors in the code of the polynomial residue number system, which allows for performing this procedure based on modular operations that are effectively implemented in codes of PRNS, is an urgent task.

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“…The performance of systematic and nonsystematic RRNS codes and near-optimal decoding algorithms for soft decision decoding has been proposed in [37]. The similarities and advantages of RRNS over other non-binary codes like Reed-Solomon (RS) codes has been discussed in detail in [23], [25]- [27], [30]- [38].…”

Section: Rns and Rrns Based Channel Codingmentioning

confidence: 99%

“…But recent advances in computing has enabled the use of RRNS as a channel code to improve error detection and correction [23], [27], [30]- [38].…”

Section: Rns and Rrns Based Channel Codingmentioning

confidence: 99%

Redundant residue number system based space-time block codes

Sengupta

Natarajan

2014

Physical Communication

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Space-time coding (STC) schemes for Multiple Input Multiple Output (MIMO) systems have been an area of active research in the past decade. In this thesis, we propose a novel design of Space-Time Block Codes (STBCs) using Redundant Residue Number System (RRNS) codes, which are ideal for high data rate communication systems. Application of RRNS as a concatenated STC scheme to a MIMO wireless communication system is the main motivation for this work. We have optimized the link between residues and complex constellations by incorporating the "Direct Mapping" scheme, where residues are mapped directly to Gray coded constellations. Knowledge of apriori probabilities of residues is utilized to implement a probability based "Distance-Aware Direct Mapping" (DA) scheme, which uses a set-partitioning approach to map the most probable residues such that they are separated by the maximum possible distance. We have proposed an "Indirect Mapping" scheme, where we convert the residues back to bits before mapping them. We have also proposed an adaptive demapping scheme which utilizes the RRNS code structure to reduce the ML decoding complexity and improve the error performance. We quantify the upper bounds on codeword and bit error probabilities of both Systematic and Non-systematic RRNS-STBC and characterize the achievable coding and diversity gains assuming maximum likelihood decoding (MLD). Simulation results demonstrate that the DA Mapping scheme provides performance gain relative to a Gray coded direct mapping scheme. We show that Systematic RRNS-STBC codes provide superior performance compared to Nonsystematic RRNS-STBC, for the same code parameters, owing to more efficient binary to residue mapping. When compared to other concatenated STBC and Orthogonal STBC (OSTBC) schemes, the proposed system gives better performance at low SNRs.

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RRNS-Convolutional encoded concatenated code for OFDM based wireless communication

Cited by 4 publications

References 9 publications

Residue Number System Fade Mitigation Technique with Error Detection and Correction on a Satellite Communication Link

Residue Number System Fade Mitigation Technique with Error Detection and Correction on a Satellite Communication Link

Error-Correction Coding Using Polynomial Residue Number System

Redundant residue number system based space-time block codes

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