Compress-and-forward relaying with polar codes for LTE-A system

Madhusudhanan, N.; Nithyanandan, L.

doi:10.1109/iccsp.2014.6949953

Cited by 9 publications

(12 citation statements)

References 11 publications

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“…The above expression denotes the encoding operation represented by

boldx

, where the binary source signal u includes both fixed (information) and frozen bits, and N represents the length of the block. G N is the generator matrix of size

N

, which comes from the

n th

Kronecker power of the kernel matrix G 2 , . Then, the standard N × N generator matrix G N is represented by

{boldG}_{N} = {boldQ}_{N} {boldG}_{2}^{\otimes n} .

…”

Section: Notation and Construction Of Polar Codesmentioning

confidence: 99%

“…The matrix G N enables channel combination. The standard kernel matrix can be denoted as ,

{boldG}_{2} = [\begin{matrix} 1 & 0 \\ 1 & 1 \end{matrix}] .

…”

Section: Notation and Construction Of Polar Codesmentioning

confidence: 99%

“…A frozen set of bits F 1 is selected during the encoding operation at the source. Therefore, the indices are given by ,

F_{1} = \{i \in 0, 1, \dots, N - 1\} : Z false(W_{1}^{(i)} false) \leq δ_{N},

where

Z (W_{1}^{(i)})

indicates the construction procedure for i channels, and depends on combining and splitting operations, as expressed in , . The common randomness procedure can be utilized for the generation of frozen bits, and it is shown in Fig.…”

Section: Notation and Construction Of Polar Codesmentioning

confidence: 99%

“…The polar encoder selects information indices with respect to the virtual channels . Bhattacharya parameter

Z (W)

and system capacity parameters determine whether the channel is noisy or noiseless, and can be expressed as .…”

Section: Notation and Construction Of Polar Codesmentioning

confidence: 99%

“…On the other hand, F 3 represents the set of information bits. A set of indices for channel

W_{3}

is represented by ,

F_{3} = \{i \in 0, 1, \dots, N - 1\} : Z false(W_{3}^{(i)} false) \leq δ_{N},

where

Z (W_{3}^{(i)})

corresponds to the Bhattacharya parameter of the

i th

channel between the source and destination. In Fig.…”

Section: Notation and Construction Of Polar Codesmentioning

confidence: 99%

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Error Rate and Capacity Analysis for Incremental Hybrid DAF Relaying using Polar Codes

Madhusudhanan¹,

Venkateswari²

2018

ETRI Journal

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The deployment of an incremental hybrid decodeamplify and forward relaying scheme is a promising and superior solution for cellular networks to meet ever-growing network traffic demands. However, the selection of a suitable relaying protocol based on the signal-to-noise ratio threshold is important in realizing an improved quality of service. In this paper, an incremental hybrid relaying protocol is proposed using polar codes. The proposed protocol achieves a better performance than existing turbo codes in terms of capacity. Simulation results show that the polar codes through an incremental hybrid decode-amplify-andforward relay can provide a 38% gain when c th(1) and c th(2) are optimal. Further, the channel capacity is improved to 17.5 b/s/Hz and 23 b/s/Hz for 2 3 2 MIMO and 4 3 4 MIMO systems, respectively. Monte Carlo simulations are carried out to achieve the optimal solution.

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“…The above expression denotes the encoding operation represented by

boldx

, where the binary source signal u includes both fixed (information) and frozen bits, and N represents the length of the block. G N is the generator matrix of size

N

, which comes from the

n th

Kronecker power of the kernel matrix G 2 , . Then, the standard N × N generator matrix G N is represented by

{boldG}_{N} = {boldQ}_{N} {boldG}_{2}^{\otimes n} .

…”

Section: Notation and Construction Of Polar Codesmentioning

confidence: 99%

“…The matrix G N enables channel combination. The standard kernel matrix can be denoted as ,

{boldG}_{2} = [\begin{matrix} 1 & 0 \\ 1 & 1 \end{matrix}] .

…”

Section: Notation and Construction Of Polar Codesmentioning

confidence: 99%

“…A frozen set of bits F 1 is selected during the encoding operation at the source. Therefore, the indices are given by ,

F_{1} = \{i \in 0, 1, \dots, N - 1\} : Z false(W_{1}^{(i)} false) \leq δ_{N},

where

Z (W_{1}^{(i)})

Section: Notation and Construction Of Polar Codesmentioning

confidence: 99%

“…The polar encoder selects information indices with respect to the virtual channels . Bhattacharya parameter

Z (W)

and system capacity parameters determine whether the channel is noisy or noiseless, and can be expressed as .…”

Section: Notation and Construction Of Polar Codesmentioning

confidence: 99%

“…On the other hand, F 3 represents the set of information bits. A set of indices for channel

W_{3}

is represented by ,

F_{3} = \{i \in 0, 1, \dots, N - 1\} : Z false(W_{3}^{(i)} false) \leq δ_{N},

where

Z (W_{3}^{(i)})

corresponds to the Bhattacharya parameter of the

i th

channel between the source and destination. In Fig.…”

Section: Notation and Construction Of Polar Codesmentioning

confidence: 99%

See 3 more Smart Citations

Error Rate and Capacity Analysis for Incremental Hybrid DAF Relaying using Polar Codes

Madhusudhanan¹,

Venkateswari²

2018

ETRI Journal

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Outage analysis of opportunistic‐based hybrid decode‐amplify‐forward relaying in polar code environment

Madhusudhanan

Venkateswari

2019

Int J Communication

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Outage analysis plays a vital role in wireless systems to determine reliable transmission and effective communication. Incremental hybrid decodeamplify-forward (IHDAF) relay offers a way of meeting the challenges of capacity and coverage improvement with great potential in cooperative communication networks. Therefore, opportunistic incremental hybrid relaying must be integrated with coding schemes to achieve full diversity. In this paper, the outage behavior of polar coded and distributed coded cooperative relaying schemes is analyzed. Simulation results show that opportunistic incremental HDAF using polar code offers an outage capacity of 17 b/s/Hz for 4 × 4 multiantenna and 45 b/s/Hz in 8 × 8 multiantenna systems with an outage of 10 −8 and 10 −13 , respectively. Moreover, the polar coded opportunistic IHDAF system in 8 × 8 MIMO achieves 2 and 6 dB higher gains compared with amplify-and-forward (AF) and decode-and-forward (DF) relaying schemes. The closed-form expression for outage probability has been derived through Marcum-Q approximations and processed through Monte Carlo simulations.

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