Vandermonde frequency division multiplexing for cognitive radio

Cardoso, Leonardo S.; Kobayashi, Mari; Ryan, Øyvind; Debbah, Mérouane

doi:10.1109/spawc.2008.4641642

Cited by 41 publications

(53 citation statements)

References 14 publications

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“…Recent state of the art techniques for interference alignment [8], such as the work in [9] and [10], exploit the degrees of freedom left over from the primary system to achieve the spectrum re-use. In [9], the spatial dimension is used to provide extra degrees of freedom, in contrast to the work in [10], where the frequency dimension is used instead.…”

Section: Introductionmentioning

confidence: 99%

“…In [9], the spatial dimension is used to provide extra degrees of freedom, in contrast to the work in [10], where the frequency dimension is used instead. The main advantage of the latter work over the former relies on the fact it does not require location information or water-filling at the primary system.…”

Section: Introductionmentioning

confidence: 99%

“…VFDM benefits from the frequency selectivity of the channel to create a frequency beamformer (similar to the classical spatial beamformer). In [10], assuming perfect channel state information (CSI) at the secondary transmitter and receiver, we analyzed the achievable rates of VFDM in high SNR regime. To this end, we implicitly assumed a maximum likelihood (ML) receiver along with gaussian code books and full knowledge of the involved channels.…”

Section: Introductionmentioning

confidence: 99%

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Vandermonde-subspace frequency division multiplexing receiver analysis

Cardoso¹,

Cavalcanti²,

Kobayashi

et al. 2010

21st Annual IEEE International Symposium on Personal, Indoor and Mobile Radio Communications

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Abstract-Vandermonde-subspace frequency division multiplexing (VFDM) is a technique for interference cancellation in overlay networks that allows a secondary network to operate simultaneously with a primary network, on the same frequency band. VFDM can be applied to block transmission systems with a guard time (or cyclic prefix) over frequency selective channels. It achieves zero interference towards the primary system by employing a special precoder that aligns the data to the null space of the interfering channel from the secondary to the primary system. In this work, we extend the assessment of VFDM by analyzing the bit error rate and sum rate capacity of practical linear receiver structures for the VFDM-based secondary system. The study realized herein serves as a basis for the implementation of a VFDM prototype system on a real transmission testbed.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Vandermonde-subspace frequency division multiplexing receiver analysis

Cardoso¹,

Cavalcanti²,

Kobayashi

et al. 2010

21st Annual IEEE International Symposium on Personal, Indoor and Mobile Radio Communications

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“…In these cases the moments technique has been shown to be very appealing and powerful in order to derive the exact asymptotic moments of "non free matrices". This type of matrices occurs in cognitive radio [45].…”

Section: Non Free Casementioning

confidence: 99%

“…Such matrices are applied to cognitive radio in [45], where authors consider a scenario with a primary and a secondary user wish to communicate with their corresponding receivers simultaneously over frequency selective channels is considered. Under realistic assumptions that the primary user is ignorant of the secondary user's presence and that the secondary transmitter has no side information about the primary's message, the authors propose a Vandermonde precoder that cancels the interference from the secondary user by exploiting the redundancy of a cyclic prefix.…”

Section: Masucci and Debbahmentioning

confidence: 99%

Non-commutative large entries for cognitive radio applications

Masucci

Debbah

2012

J Wireless Com Network

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Cognitive radio has been proposed as a solution for the problem of underutilization of the radio spectrum. Indeed, measurements have shown that large portions of frequency bands are not efficiently assigned since large pieces of bandwidth are unused or only partially used. In the last decade, studies in different areas, such as signal processing, random matrix theory, information theory, game theory, etc., have brought us to the current state of cognitive radio research. These theoretical advancements represents a solid base for practical applications and even further developments. However, still open questions need to be answered. In this study, free probability theory, through the free deconvolution technique, is used to attack the huge problem of retrieving useful information from the network with a finite number of observations. Free deconvolution, based on the moments method, has shown to be a helpful approach to this problem. After giving the general idea of free deconvolution for known models, we show how the moments method works in the case where scalar random variables are considered. Since, in general, we have a situation where more complex systems are involved, the parameters of interest are no longer scalar random variables but random vectors and random matrices. Random matrices are non-commutative operators with respect to the matrix product and they can be considered elements of what is called noncommutative probability space.Therefore, we focus on the case where random matrices are considered. Concepts from combinatorics, such as crossing and non-crossing partitions are useful tools to express the moments of Gaussian and Vandermonde matrices, respectively. Our analysis and simulation results show that free deconvolution framework can be used for studying relevant information in cognitive radio such as power detection, users detection, etc.

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