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Table Of Integrals Series And Products

This paper investigates the maximal channel coding rate achievable at a given blocklength and error probability. For general classes of channels new achievability and converse bounds are given, which are tighter than existing bounds for wide ranges of parameters of interest, and lead to tight approximations of the maximal achievable rate for blocklengths n as short as 100. It is also shown analytically that the maximal rate achievable with error probability ? isclosely approximated by C - ?(V/n) Q-1(?) where C is the capacity, V is a characteristic of the channel referred to as channel dispersion , and Q is the complementary Gaussian cumulative distribution function.

/pdf/channel-coding-rate-in-the-finite-blocklength-regime-35xxh8quud.pdf

Channel Coding Rate in the Finite Blocklength Regime

Cooperative diversity has been recently proposed as a way to form virtual antenna arrays that provide dramatic gains in slow fading wireless environments. However, most of the proposed solutions require distributed space-time coding algorithms, the careful design of which is left for future investigation if there is more than one cooperative relay. We propose a novel scheme that alleviates these problems and provides diversity gains on the order of the number of relays in the network. Our scheme first selects the best relay from a set of M available relays and then uses this "best" relay for cooperation between the source and the destination. We develop and analyze a distributed method to select the best relay that requires no topology information and is based on local measurements of the instantaneous channel conditions. This method also requires no explicit communication among the relays. The success (or failure) to select the best available path depends on the statistics of the wireless channel, and a methodology to evaluate performance for any kind of wireless channel statistics, is provided. Information theoretic analysis of outage probability shows that our scheme achieves the same diversity-multiplexing tradeoff as achieved by more complex protocols, where coordination and distributed space-time coding for M relay nodes is required, such as those proposed by Laneman and Wornell (2003). The simplicity of the technique allows for immediate implementation in existing radio hardware and its adoption could provide for improved flexibility, reliability, and efficiency in future 4G wireless systems.

/pdf/a-simple-cooperative-diversity-method-based-on-network-path-22i6udw30q.pdf

A simple Cooperative diversity method based on network path selection

Transmit diversity generally requires more than one antenna at the transmitter. However, many wireless devices are limited by size or hardware complexity to one antenna. Recently, a new class of methods called cooperative communication has been proposed that enables single-antenna mobiles in a multi-user environment to share their antennas and generate a virtual multiple-antenna transmitter that allows them to achieve transmit diversity. This article presents an overview of the developments in this burgeoning field.

Cooperative communication in wireless networks

It is shown that, particularly for terrestrial cellular telephony, the interference-suppression feature of CDMA (code division multiple access) can result in a many-fold increase in capacity over analog and even over competing digital techniques. A single-cell system, such as a hubbed satellite network, is addressed, and the basic expression for capacity is developed. The corresponding expressions for a multiple-cell system are derived. and the distribution on the number of users supportable per cell is determined. It is concluded that properly augmented and power-controlled multiple-cell CDMA promises a quantum increase in current cellular capacity. >

On the capacity of a cellular CDMA system

In a centralized or cloud radio access network, certain portions of the digital baseband processing of a group of several radio access points are processed at a central data center. Centralization improves the flexibility, scalability, and utilization of computational assets. However, the performance depends critically on how the limited data processing resources are allocated to serve the needs of the different wireless devices. As the processing load imposed by each device depends on its allocated transmission rate and channel quality, the rate- allocation aspect of the scheduling should take into account the available computing resources. In this paper, two computationally aware schedulers are proposed that have the objective of maximizing the system sum-rate while satisfying a constraint on the offered computational load. The first scheduler optimally allocates resources and is implemented according to a water-filling algorithm. The second scheduler is suboptimal, but uses a simpler and intuitive complexity-cut-off approach. The performance of both schedulers is evaluated using an LTE- compliant system level simulator. It is found that both schedulers avoid outages that are caused by an overflow of computational load (i.e., computational outages) at the cost of a slight loss of sum-rate.

Computationally Aware Sum-Rate Optimal Scheduling for Centralized Radio Access Networks

Turbo codes are sensitive to both (timing) synchronization errors and signal-to-noise ratio (SNR) mismatch. Since turbo codes are intended to work in environments with very low SNR, conventional synchronization methods often fail. This paper investigates blind symbol-timing synchronization and SNR estimation based on oversampled data frames. The technique is particularly suitable for low-rate turbo codes operating in additive white Gaussian noise at low SNR and modest data-transfer rates, as in deep space, satellite, fixed wireless, or wireline communications. In accordance with the turbo principle, intermediate decoding results are fed back to the estimator, thereby facilitating decision-directed estimation. The analytical and simulated results show that with three or more samples per symbol and raised cosine-rolloff pulse shaping, performance approaches that of systems with perfect timing and SNR knowledge at the receiver.

Joint synchronization and SNR estimation for turbo codes in AWGN channels

This paper investigates coded communications using noncoherent orthogonal modulation and capacity-approaching binary channel codes. The focus is on the interface between the decoder and demodulator, which is critical for large modulation order M. While standard receivers for bit-interleaved coded-modulation (BICM) segregate the operations of demodulation and decoding, we follow the recently proposed paradigm of BICM with iterative decoding (BICM-ID) to approximate joint demodulation and decoding through the iterative exchange of soft information between demodulator and decoder. We focus our attention on the derivation of the soft-input/soft-output SISO demodulator for noncoherent M-FSK, and derive a log-domain SISO demodulator suitable for channels with uniform phase and fading amplitudes that are either known or constant (i.e. AWGN). Simulation results are shown for M = 2,4,16, and 64 using the well-known UMTS turbo code. It is found that feeding soft information from the decoder back to the demodulator improves performance by between 0.7-0.9 dB for 16-ary and 64-ary NFSK in AWGN and Rayleigh fading.

/pdf/towards-the-capacity-of-noncoherent-orthogonal-modulation-4cr53v548j.pdf

Towards the capacity of noncoherent orthogonal modulation: BICM-ID for turbo coded NFSK

A method is proposed to implement coherent detection of turbo coded binary phase shift keying (BPSK) signals transmitted over frequency-flat Rayleigh fading channels. After turbo encoding, a subset of the parity symbols is punctured and replaced with known pilot symbols. Because the pilot symbols replace existing parity symbols, no bandwidth expansion is required. However, there is a restriction on the set of possible pilot symbol spacings and interleaver sizes. At the receiver, estimates of the complex channel gain and variance of the additive noise are first computed by filtering observations of the pilot symbols. As the turbo decoder performs its iterations, the channel estimates are refined by using information produced by the decoder. The performance of the proposed technique is assessed by computer simulation, and compared for two normalized fade rates with both perfect coherent detection (corresponding to perfect knowledge of the fading process and noise variance) and differential detection of differentially-encoded binary phase shift keying (DPSK).

A bandwidth efficient pilot symbol technique for coherent detection of turbo codes over fading channels

Digital network coding improves the throughput of the two-way relay channel by allowing multiple sources to transmit simultaneously to the relay. This work considers the development of a relay receiver applying a specific modulation and channel coding technique - turbo-coded noncoherent orthogonal FSK in the two-way relay channel operated with digital network coding. The relay receiver supports any modulation order which is a power of two, and iterative channel decoding with information feedback from decoder to demodulator, using bit interleaved coded modulation with iterative decoding (BICM-ID). The performance of the receiver is investigated in fading channels through error-rate simulations and capacity analysis, and results show an energy efficiency improvement of 0.5-0.9 dB over similar systems which do not utilize BICM-ID.

Matthew C. Valenti

Papers

Computationally Aware Sum-Rate Optimal Scheduling for Centralized Radio Access Networks

Joint synchronization and SNR estimation for turbo codes in AWGN channels

Towards the capacity of noncoherent orthogonal modulation: BICM-ID for turbo coded NFSK

A bandwidth efficient pilot symbol technique for coherent detection of turbo codes over fading channels

An iterative noncoherent relay receiver for the two-way relay channel