We present algorithms for initializing a convolutional network coding (CNC) scheme in networks that may contain cycles. An initialization process for finding global encoding kernels (GEK) is needed if the network is u...
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We present algorithms for initializing a convolutional network coding (CNC) scheme in networks that may contain cycles. An initialization process for finding global encoding kernels (GEK) is needed if the network is unknown or if local encoding kernels are chosen randomly. During the initialization process every source node transmits basis vectors and every sink node gets the impulse response of the network. The impulse response is then used to find the GEK, which are needed for a decoding algorithm and to find the set of all achievable rates. We present two initialization algorithms that find the GEK and one algorithm that finds achievable rates from the GEK. In the first initialization algorithm it is assumed that we can perform a reset operation on the network at some fixed times, while the second algorithm does not operate under this assumption. Unlike acyclic networks, for which it is sufficient to transmit basis vectors one after another, the initialization of cyclic networks is more involved, as test symbols from different times interfere with each other and the impulse response is of infinite duration. Our algorithms use only a finite number of the initial values of the impulse response to find the full GEK. This is possible because a CNC scheme can be described by a state space representation and, using the Cayley-Hamilton theorem, it is possible to find its full impulse response from its initial values.
In this paper, we derive a lower bound on the minimum decoding delay for convolutionalnetwork codes, which provides us with a guide line in the performance of decoding delay for convolutionalnetwork code decoders. T...
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In this paper, we derive a lower bound on the minimum decoding delay for convolutionalnetwork codes, which provides us with a guide line in the performance of decoding delay for convolutionalnetwork code decoders. The lower bound can be achievable by the sequential decoder introduced by E. Erez and F. Feder. Then we discuss the relationship between the network topology and the minimum decoding delay. Finally, we illustrate our results by an example.
We investigate methods to enable robust and secure sharing among trusted peers in wireless erasure networks based on networkcoding (NC). The proposed communication model allows an eavesdropper to take advantage of th...
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ISBN:
(纸本)9781424456383
We investigate methods to enable robust and secure sharing among trusted peers in wireless erasure networks based on networkcoding (NC). The proposed communication model allows an eavesdropper to take advantage of the broadcast medium to successfully overhear messages transmitted along a min-cut. In situations where there is no secure capacity, we give a convolutional NC scheme that achieves weak secrecy to decrease the number of symmetric keys required. Furthermore, we demonstrate the fundamental duality between robustness and secrecy enforced by the wireless environment.
We present algorithms for initializing networks that use a convolutional network coding scheme and that may contain cycles. During the initialization process every source node transmits basis vectors and every sink no...
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ISBN:
(纸本)9781479962174
We present algorithms for initializing networks that use a convolutional network coding scheme and that may contain cycles. During the initialization process every source node transmits basis vectors and every sink node measures the impulse response of the network. The impulse response is then used to find a relation between the transmitted and the received symbols, which is needed for a decoding algorithm and to find the set of all achievable rates. An initialization process is needed if the network is unknown or if local encoding kernels are chosen randomly. Unlike acyclic networks, for which it is enough to transmit basis vectors one after another, the initialization of cyclic networks is more complicated, as pilot symbols interfere with each other and the impulse response is of infinite duration.
To address the issue of field size in random networkcoding, we propose an Improved Adaptive Random convolutional network coding (IARCNC) algorithm to considerably reduce the amount of occupied memory. The operation o...
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To address the issue of field size in random networkcoding, we propose an Improved Adaptive Random convolutional network coding (IARCNC) algorithm to considerably reduce the amount of occupied memory. The operation of IARCNC is similar to that of Adaptive Random convolutional network coding (ARCNC), with the coefficients of local encoding kernels chosen uniformly at random over a small finite field. The difference is that the length of the local encoding kernels at the nodes used by IARCNC is constrained by the depth; meanwhile, increases until all the related sink nodes can be decoded. This restriction can make the code length distribution more reasonable. Therefore, IARCNC retains the advantages of ARCNC, such as a small decoding delay and partial adaptation to an unknown topology without an early estimation of the field size. In addition, it has its own advantage, that is, a higher reduction in memory use. The simulation and the example show the effectiveness of the proposed algorithm.
Future networks are expected to support various ultra-reliable low-latency communications via wireless links. To avoid the loss of packets and keep the low latency, sliding networkcoding (SNC) is an emerging technolo...
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ISBN:
(纸本)9781665491228
Future networks are expected to support various ultra-reliable low-latency communications via wireless links. To avoid the loss of packets and keep the low latency, sliding networkcoding (SNC) is an emerging technology by generating redundant packets that are the linear combination of the original data packets from the current block and some previous blocks. However, how to take the advantage of re-transmission for SNC is still an open problem since higher reliability could be achieved at the expense of large latency caused by round-trip time (RTT). To deal with this issue, in this paper, we consider the idea of adjusting the transmission phase and the number of the redundant packets for SNC with re-transmission. Specifically, If RTT is large, most of the redundant packets are sent at the first transmission, otherwise, re-transmission will be used. We first derive a concise and tight lower bound of the block error probability of SNC without re-transmission. Then, based on the bound, the theoretical expressions of the proposed retransmission schemes are derived regarding the block error probability, the average code length, and the average packet latency. Results show that the proposed SNC with re-transmission improves block error probability and keeps the low latency.
In this paper, a time-variant decoding model of a convolutionalnetwork code (CNC) is proposed. New necessary and sufficient conditions are established for the decodability of a CNC at a node r with delay L. They only...
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In this paper, a time-variant decoding model of a convolutionalnetwork code (CNC) is proposed. New necessary and sufficient conditions are established for the decodability of a CNC at a node r with delay L. They only involve the first L + 1 terms in the power series expansion of the global encoding kernel matrix at r. Concomitantly, a time-variant decoding algorithm is proposed with a decoding matrix over the base symbol field. The present time-variant decoding model only deals with partial information of the global encoding kernel matrix, and hence potentially makes CNCs applicable in a decentralized manner.
On today's Internet, including both wide area networks and wireless access networks, multimedia content (images, audio and video) represents a dominating fraction of network data traffic. Efficient encoding and tr...
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ISBN:
(数字)9781665471800
ISBN:
(纸本)9781665471800
On today's Internet, including both wide area networks and wireless access networks, multimedia content (images, audio and video) represents a dominating fraction of network data traffic. Efficient encoding and transmission of multimedia data are of considerable importance to smooth operation of the network as well as quality of experience of network users. Wireless users particularly prefer algorithms that are both robust, and lightweight in terms of computation and communication. This work takes a holistic approach to source compression and network transmission of videos. A 3D-DCT module is employed for spatio-temporal compression of pixel cubes, working in concert with a convolutional network coding module, for unequal error protection and forward error correction. We outline the overall framework for such a joint algorithm design, discuss detailed algorithm blocks, while many interesting design choices are still open for future exploration.
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