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Towards efficient encoding using polynomials 7

Towards efficient encoding using polynomials

引用

7th International ITG Conference on Source and Channel Coding, SCC 2008

作者： Mitchell, David O'Carroll, Liam Goertz, Norbert Joint Research Institute for Signal and Image Processing University of Edinburgh United Kingdom School of Mathematics Maxwell Institute for Mathematical Sciences University of Edinburgh United Kingdom

ISBN: (纸本)9783800730773

We present an efficient new method of obtaining a generator matrix G from certain types of parity check matrices with a defective cyclic block structure. This novel approach describes parity check and generator matrices in terms of polynomials. Moreover, by using this polynomial algebra we have found efficient ways to implement the scheme. In addition, this method is as such interesting as it allows us to convert H into G without a systematic encoder in between (i.e., there is no diagonal subpart in the output). This alone is interesting as normally G would be dense if we were to form it from the given H by Gaussian elimination.

关键词： Polynomials

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Under-determined speech separation using GMM-based non-linear beamforming

Under-determined speech separation using GMM-based non-linea...

引用

16th European signal processing Conference, EUSIPCO 2008

作者： Dmour, Mohammad A. Davies, Michael E. Institute for Digital Communications Joint Research Institute for Signal and Image Processing University of Edinburgh Edinburgh EH9 3JL United Kingdom

This paper introduces a frequency-domain non-linear beamformer that can perform speech source separation of under-determined mixtures, is reasonably artifact-free and does not require prior knowledge of the number of speakers. This beamformer utilises a Gaussian mixture distribution to model the observation probability density in each frequency bin, which can be learnt using the expectation maximisation (EM) algorithm. A linear minimum-variance distortionless response (MVDR) beamformer is determined for each of the Gaussian components. The proposed non-linear beamformer is then a weighted sum of these linear MVDR beamformers and is therefore also distortionless. The relative contribution for each linear MVDR beamformer is calculated as the posterior probability (specific to each time-frequency point) of its corresponding Gaussian component. Simulation results of the non-linear beamformer in under-determined mixtures with room reverberation confirm its ability to successfully separate speech sources with virtually no artifacts.

关键词： Source separation

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Interference Modeling of Cognitive Radio Networks

Interference Modeling of Cognitive Radio Networks

引用

IEEE Conference on Vehicular Technology (VTC)

作者： Xuemin Hong Cheng-Xiang Wang John Thompson Joint Research Institute for Signal and Image Processing Heriot-Watt University Edinburgh UK Joint Research Institute for Signal and Image Processing University of Edinburgh Edinburgh UK

Cognitive radio (secondary) networks have been proposed as means to improve the spectrum utilization. A secondary network can reuse the spectrum of a primary network under the condition that the primary services are not harmfully interrupted. In this paper, we study the distribution of the interference power at a primary receiver when the interfering secondary terminals are distributed in a Poisson field. We assume that a secondary terminal is able to cease its transmission if it is within a distance of R to the primary receiver. We derive a general formula for the characteristic function of the random interference generated by such a secondary network. With this general formula we investigate the impacts of R, shadowing, and small scale fading on the probability density function (PDF) of the interference power. We find that when there is no interference region (R = 0), the interference PDFs follow heavy-tailed alpha-stable distributions. In case that a proper interference region is defined by a positive value of R, the tails of the interference power PDFs can be significantly shortened. Moreover, the impacts of shadowing and small scale fading on the interference PDFs are studied and the small scale fading is found to be beneficial in terms of reducing the mean value and outage probability of the interference power.

关键词： Interference Cognitive radio Receivers Fading Shadow mapping signal processing image processing Tail Gaussian approximation Protocols

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Uplink cell capacity of cognitive radio networks with peak interference power constraints

Uplink cell capacity of cognitive radio networks with peak i...

引用

International Conference on Communications, Circuits and Systems (ICCCAS)

A cognitive radio (secondary) network can reuse the under-utilized spectrum licensed to a primary network on a non-interruptive basis. In this paper, we study the uplink capacity of a secondary network where a secondary base station (BS) is located at the center while multiple secondary users are uniformly distributed within a circular cell of radius R. Primary users are assumed to be distributed in the same plane according to a Poisson point process with a density parameter lambda p . To protect primary services, secondary users can only transmit under a peak interference power constraint which guarantees that the instantaneous interference power perceived by any primary user is not larger than a certain threshold. In addition, we assume an opportunistic scheduler at the BS which exploits multi-user diversity among M secondary users and stochastically maximize the cell *** first study the capacity with a simple channel model considering only the path loss and derive the closed-form cumulative distribution function (CDF) of the capacity. We then study the capacity with realistic fading channel models using a semi-analytical approach. The impacts of the parameters R, lambda p , and M on the capacity are quantified and discussed. Moreover, we find that shadowing and fading only have limited impacts on the distribution of the capacity.

关键词： Interference Fading Cognitive radio Shadow mapping Receivers Probability density function Random variables

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Uplink cell capacity of cognitive radio networks with interference outage constraints

Uplink cell capacity of cognitive radio networks with interf...

引用

International Conference on Communications, Circuits and Systems (ICCCAS)

Cognitive radio (secondary) networks have been proposed as a means to improve the spectrum utilization. Existing works study the capacity of cognitive radio networks as a random variable given certain peak/average interference power constraints. Such cognitive radio networks with random capacities, however, are limited in their applications since the quality of service (QoS) cannot be guaranteed. In this paper we investigate the maximum stable capacity that can be provided by a cognitive radio network with interference power outage constraints. We consider a scenario where a secondary base station (BS) is located at the center while multiple secondary users are uniformly distributed within a circular cell of radius R. We assume that secondary users transmit on a time-division-multiple-access (TDMA) basis and dynamically adjust their transmit power to maintain the received signal power at the BS as P 0 . We first study the interference raised by such a secondary network as a random variable. Its cumulative distribution function (CDF) is derived under both simple and realistic channel models. We further assume that in order to protect primary services, the probability that the interference power perceived at a primary receiver exceeding a threshold I 0 should not be larger than an outage probability limit chi. Such an interference outage constraint imposes a limit on P 0 and allows us to express the capacity as a function of I 0 and chi. Moreover, the impacts of the parameters R, shadowing, and fading on the capacity are investigated.

关键词： Interference Fading Cognitive radio Receivers Shadow mapping Random variables Probability density function

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Double embedded processes based hidden Markov models for binary digital wireless channels

Double embedded processes based hidden Markov models for bin...

引用

International Symposium on Wireless Communication Systems (ISWCS)

作者： Omar S. Salih Cheng-Xiang Wang David I. Laurenson Joint Research Institute for Signal and Image Processing Heriot-Watt University Edinburgh UK Joint Research Institute for Signal and Image Processing University of Edinburgh Edinburgh UK

Generative models hold the promise of reducing the computational load and cost caused by directly simulating a real system. They are vital to the design and performance evaluation of error control schemes and high layer wireless communication protocols. Therefore, designing an efficient and accurate generative model is highly desirable. Moreover, the errors encountered in digital wireless channels exhibit correlation among them. This stimulates us to construct a Markovian based generative model with two embedded processes. The first process is dedicated to assembling error bursts with error-free bursts, whereas the second one is devoted to creating individual error bursts employing the maximum gap norm within error bursts. This premise is utilized in this paper to show that the resulting generative model can generate error sequences with desired bit correlations and is capable of statistically matching a descriptive model, derived from an enhanced general packet radio service (EGPRS) transmission system, regardless of the configuration of its error sequences.

关键词： Hidden Markov models Chaos Error analysis signal processing image processing Computational modeling Error correction Mathematical model Embedded computing Computational efficiency

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Gradient pursuit for non-linear sparse signal modelling

Gradient pursuit for non-linear sparse signal modelling

引用

16th European signal processing Conference, EUSIPCO 2008

作者： Blumensath, Thomas Davies, Mike E. IDCOM and Joint Research Institute for Signal and Image Processing University of Edinburgh King's Buildings Mayfield Road Edinburgh EH9 3JL United Kingdom

In this paper the linear sparse signal model is extended to allow more general, non-linear relationships and more general measures of approximation error. A greedy gradient based strategy is presented to estimate the sparse coefficients. This algorithm can be understood as a generalisation of the recently introduced Gradient Pursuit framework. Using the presented approach with the traditional linear model but with a different cost function is shown to outperform OMP in terms of recovery of the original sparse coefficients. A second set of experiments then shows that for the nonlinear model studied and for highly sparse signals, recovery is still possible in at least a percentage of cases. copyright by EURASIP.

关键词： Cost functions

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Capacity Study of Vehicle-to-Roadside MIMO Channels with a Line-of-Sight Component

Capacity Study of Vehicle-to-Roadside MIMO Channels with a L...

引用

IEEE Conference on Wireless Communications and Networking

作者： Michail Matthaiou David I. Laurenson Cheng-Xiang Wang Institute for Digital Communications Joint Research Institute for Signal and Image Processing University of Edinburgh Edinburgh UK Joint Research Institute for Signal and Image Processing Heriot-Watt University Edinburgh UK

In this paper, the performance of a multiple-input multiple-output (MIMO) system is assessed in the case of vehicle-to-roadside communications. We investigate a line-of- sight (LoS) scenario where a specular wavefront impinges on the receive side. Under these conditions, the channel response is usually rank deficient due to the high correlation between the spatial LoS responses, unless specific antenna geometries are employed in order to achieve subchannel orthogonality. For our investigation, a recently proposed criterion, which maximizes the LoS-channel rank and eventually the channel capacity, is revised for different array configurations.

关键词： MIMO Additive noise signal processing image processing Automotive engineering Geometry Bandwidth Intelligent transportation systems Traffic control Additive white noise

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Demystifying white spaces

Demystifying white spaces

引用

International Conference on Communications, Circuits and Systems (ICCCAS)

作者： Xuemin Hong Cheng-Xiang Wang John Thompson Yan Zhang Joint Research Institute for Signal and Image Processing Heriot-Watt University Edinburgh UK Joint Research Institute for Signal and Image Processing University of Edinburgh Edinburgh UK Simula Research Laboratory Lysaker Norway

White spaces refer to the unused frequency voids across time or space. The vast existence of white spaces has been validated by many measurements and is widely regarded as an undesirable consequence of the fixed spectrum licensing policy. In this paper, we apply stochastic geometry to study the spatial distribution of white spaces in the presence of a random primary network with homogeneous nodes. We show that with a self-interfering constraint on the primary network, a large portion of the total area will be detected as the white space regardless of the density of the primary transmitters. Our finding suggests that the existence of white spaces is not merely a by-product of the artificial spectrum licensing policy but also an inherent phenomenon of wireless communication systems. Two main causes of the white spaces are the self-interfering constraint and random network topology. Our model also suggests that power control and topology-aware spectrum management are the keys to eliminate white spaces and improve the overall spectrum utilization.

关键词： Radio transmitters Aerospace electronics Stochastic processes Cognitive radio Geometry Wireless communication Transmitters

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Gradient pursuit for non-linear sparse signal modelling

Gradient pursuit for non-linear sparse signal modelling

引用

European signal processing Conference (EUSIPCO)

作者： Thomas Blumensath Mike E. Davies IDCOM & Joint Research Institute for Signal and Image Processing The University of Edinburgh Edinburgh UK

ISBN: (纸本)9782839904506

In this paper the linear sparse signal model is extended to allow more general, non-linear relationships and more general measures of approximation error. A greedy gradient based strategy is presented to estimate the sparse coefficients. This algorithm can be understood as a generalisation of the recently introduced Gradient Pursuit framework. Using the presented approach with the traditional linear model but with a different cost function is shown to outperform OMP in terms of recovery of the original sparse coefficients. A second set of experiments then shows that for the non-linear model studied and for highly sparse signals, recovery is still possible in at least a percentage of cases.

关键词： Matching pursuit algorithms Cost function signal processing algorithms Approximation methods Estimation Measurement uncertainty Vectors

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