On linear unequal error protection codes

Masnick, Burt; Wolf, J.K.

doi:10.1109/tit.1967.1054054

Cited by 311 publications

(147 citation statements)

References 5 publications

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“…Similar results for the (7,4) Hamming code are shown in Figure 35. Figure 36 shows the power profiles of information and parity bits for different SNRs.…”

Section: E Resultssupporting

confidence: 79%

“…These system have also been simulated to see how much the actual MSE gain over the uniform power profile for (7,4) Hamming code is. The MSE graph given in In Figure 38, actual MSE obtained from the simulation of the system for uniform power profile and the MSE obtained from the expression is shown.…”

Section: E Resultsmentioning

confidence: 99%

“…For the coded case, providing different protection to streams with different reliabilities have been considered by many authors. This falls under the broad topic of unequal error protection (UEP) [7]. Most of the previous work has approached the problem by allocating different number of parity bits to each of these streams or in other words allocating a lower effective code rate to the stream which requires higher reliability [8].…”

Section: A Previous Workmentioning

confidence: 99%

“…In the next section, the above explained method is used and explained in detail for (7,4) Hamming code and the results are given for (3,2), (4,3) and (5,4) SPC code as well as the Hamming code.…”

Section: End Loopmentioning

confidence: 99%

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Optimum Bit-by-Bit Power Allocation for Minimum Distortion Transmission

Karaer

Georghiades

2006

2006 IEEE International Conference on Communications

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In this thesis, bit-by-bit power allocation in order to minimize mean-squared error (MSE) distortion of a basic communication system is studied. This communication system consists of a quantizer. There may or may not be a channel encoder and a Binary Phase Shift Keying (BPSK) modulator. In the quantizer, natural binary mapping is made. First, the case where there is no channel coding is considered. In the uncoded case, hard decision decoding is done at the receiver. It is seen that errors that occur in the more significant information bits contribute more to the distortion than less significant bits. For the uncoded case, the optimum power profile for each bit is determined analytically and through computer-based optimization methods like differential evolution. For low signal-to-noise ratio (SNR), the less significant bits are allocated negligible power compared to the more significant bits. For high SNRs, it is seen that the optimum bit-by-bit power allocation gives constant MSE gain in dB over the uniform power allocation. Second, the coded case is considered. Linear block codes like (3,2), (4,3) and (5,4) single parity check codes and (7,4) Hamming codes are used and soft-decision decoding is done at the receiver. Approximate expressions for the MSE are considered in order to find a near-optimum power profile for the coded case. The optimization is done through a computer-based optimization method (differential evolution). For a simple code like (7,4) Hamming code simulations show that up to 3 dB MSE gain can be obtained by changing the power allocation on the information and parity bits. A systematic method to find the power profile for linear iv block codes is also introduced given the knowledge of input-output weight enumerating function of the code. The information bits have the same power, and parity bits have the same power, and the two power levels can be different.

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“…Similar results for the (7,4) Hamming code are shown in Figure 35. Figure 36 shows the power profiles of information and parity bits for different SNRs.…”

Section: E Resultssupporting

confidence: 79%

Section: E Resultsmentioning

confidence: 99%

Section: A Previous Workmentioning

confidence: 99%

Section: End Loopmentioning

confidence: 99%

See 2 more Smart Citations

Optimum Bit-by-Bit Power Allocation for Minimum Distortion Transmission

Karaer

Georghiades

2006

2006 IEEE International Conference on Communications

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“…Moreover, unequal error protection (UEP) [11] can be used when data blocks have different error requirements [5] [19].…”

Section: A Real-time Applicationsmentioning

confidence: 99%

Hints and notifications [for wireless links]

Larzon

Bodin

Schelén

2002 IEEE Wireless Communications and Networking Conference Record. WCNC 2002 (Cat. No.02TH8609)

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Abstract-With current Internet protocols, users may experience low and unpredictable forwarding quality at wireless links. This is due to varying link properties caused by changing radio conditions. Decreased forwarding quality can cause severe degradation in utilization. This is undesirable since forwarding capacity often is expensive at wireless links because of limited radio spectrum. Allowing the application and transport layers to communicate with wireless link layers can improve forwarding quality and utilization.We propose to enable inter-layer communication by adding hints and notifications (HAN) to the Internet architecture. Hints can be introduced and used without notifications, while notifications need hints or a similar mechanism to operate. By using IP options and ICMP messages to implement HAN, a backward-compatible partial deployment is possible. With HAN, the network layer becomes truly wireless friendly and radio spectrum can be used efficiently while supporting both real-time and traditional data applications.

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The Art of Error Correcting Coding

Morelos-Zaragoza¹

2002

232

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On linear unequal error protection codes

Cited by 311 publications

References 5 publications

Optimum Bit-by-Bit Power Allocation for Minimum Distortion Transmission

Optimum Bit-by-Bit Power Allocation for Minimum Distortion Transmission

Hints and notifications [for wireless links]

The Art of Error Correcting Coding

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