Improper Gaussian signaling on the two-user SISO interference channel

Ho, Zuleita; Jorswieck, Eduard A.

doi:10.1109/iswcs.2011.6125277

Cited by 46 publications

(95 citation statements)

References 9 publications

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“…A rate R is achievable if there exists a sequence of codes such that the maximal probability of error tends to 0 for sufficiently large block lengths. Recent contributions have highlighted a more general framework to quantify the achievable rate in order to accommodate the improper nature of the participating signals arising from IGS [9], [50], [52], [54], [55], [64], [82], [86], [88], [201]- [204], WL precoding of PGS [66], [71], [72], [79], [81], [84], [87], [95], [205], or complex beamforming resulting in dependent real and imaginary parts [90], [206].…”

Section: A Achievable Ratementioning

confidence: 99%

“…For instance, Ho et al explore the Pareto region for the 2U SISO-IC with cooperative (IGS) as well as non-cooperative (PGS) transmission strategy. They prioritize improper rank one signals over fullrank signals because of their simplicity, easy implementation and close to optimal sum rate [82]. The study focuses on improving the system efficiency in terms of max-min fairness and proportional fairness while carrying out the rate region analysis.…”

Section: A Achievable Ratementioning

confidence: 99%

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A Journey From Improper Gaussian Signaling to Asymmetric Signaling

Javed

Amin

Shihada

et al. 2020

IEEE Commun. Surv. Tutorials

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The deviation of continuous and discrete complex random variables from the traditional proper and symmetric assumption to a generalized improper and asymmetric characterization (accounting correlation between a random entity and its complex conjugate), respectively, introduces new design freedom and various potential merits. As such, the theory of impropriety has vast applications in medicine, geology, acoustics, optics, image and pattern recognition, computer vision, and other numerous research fields with our main focus on the communication systems. The journey begins from the design of improper Gaussian signaling in the interference-limited communications and leads to a more elaborate and practically feasible asymmetric discrete modulation design. Such asymmetric shaping bridges the gap between theoretically and practically achievable limits with sophisticated transceiver and detection schemes in both coded/uncoded wireless/optical communication systems. Interestingly, introducing asymmetry and adjusting the transmission parameters according to some design criterion render optimal performance without affecting the bandwidth or power requirements of the systems. This dual-flavored article initially presents the tutorial base content covering the interplay of reality/complexity, propriety/impropriety and circularity/non-circularity and then surveys majority of the contributions in this enormous journey.

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Section: A Achievable Ratementioning

confidence: 99%

Section: A Achievable Ratementioning

confidence: 99%

A Journey From Improper Gaussian Signaling to Asymmetric Signaling

Javed

Amin

Shihada

et al. 2020

IEEE Commun. Surv. Tutorials

View full text Add to dashboard Cite

show abstract

“…Theorem 2: The composite real representation (6) of a widely linear mapping of the form (2) is given by (28) with from (27), where the matrices and are the real-valued equivalents (23) of and , respectively.…”

Section: Linear and Widely Linear Operationsmentioning

confidence: 99%

“…However, from a different perspective, the surprise might not be that big since the restrictions to linear processing and proper signals can be considered as artificial as discussed above. Gains by dropping this restriction have recently been reported also for other interference channel scenarios [28]- [31] and for broadcast (point-to-multipoint) scenarios without nonlinear interference cancellation [11], [31], [32]. Apparently, the generalization to allow improper signals is particularly useful in interference-limited communication systems.…”

mentioning

confidence: 99%

“…In the above discussion, a so-called composite real representation of vectors and matrices was used. Apart from being closely related to the practical implementation and to our intuitive understanding of complex numbers, this representation has the following important advantage, which was exploited, e.g., in [11], [16], [17], [32]- [35] (and for the special case of scalar complex random variables in [3], [24], [28]). Whenever we know a method to solve a given problem involving real vectors, we can readily apply the method to composite real representations of general (proper or improper) complex vectors.…”

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confidence: 99%

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Block-Skew-Circulant Matrices in Complex-Valued Signal Processing

Utschick

2015

IEEE Trans. Signal Process.

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Two main lines of approach can be identified in the recent literature on improper signals and widely linear operations. The augmented complex formulation based on the signal and its complex conjugate is considered as more insightful since it leads to convenient mathematical formulations for many considered problems. Moreover, it allows an easy distinction between proper and improper signals as well as between linear and widely linear operations. On the other hand, the composite real representation using the real and imaginary parts of the signal is closer to the actual implementation, and it allows to readily reuse results that have originally been derived for real-valued signals or proper complex signals. In this work, we aim at getting the best of both worlds by introducing mathematical tools that make the composite real representation more powerful and elegant. The proposed approach relies on a decomposition of real matrices into a block-skew-circulant and a block-Hankel-skew-circulant component. By means of various application examples from the field of signal processing for communications, we demonstrate the usefulness of the proposed framework.

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Performance Analysis and Fairness Maximization in NOMA Systems With Improper Gaussian Signaling Under Imperfect Successive Interference Cancellation

Hong

Bahk

2020

IEEE Access

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In this paper, we investigate a downlink non-orthogonal multiple access (NOMA) system consisting of a base station (BS) and two users, where each user decodes its own signal through successive interference cancellation (SIC). When the signal of one user, called the weak user (WU) who has a bad channel, is being decoded, the signal of the other user, called the strong user (SU) who has a good channel, acts as interference. In an interference channel, we can increase the achievable rate by applying improper Gaussian signaling (IGS). Therefore, we apply IGS to SU, aiming to mitigate the interference. We also consider imperfect SIC at SU, which is a more general assumption for a NOMA system. For the considered NOMA system model, we derive the outage probability of each user in a closed form, provide its asymptotic expression, and obtain its diversity order. We also derive the ergodic rate of each of the two users in a closed form. We propose two algorithms to maximize the fairness of the NOMA system based on the primal decomposition method. Through simulation, we verify that our analysis is correct, and confirm that applying IGS improves the fairness of the NOMA system. INDEX TERMS Ergodic rate, fairness, imperfect successive interference cancellation (SIC), improper Gaussian signaling (IGS), non-orthogonal multiple access (NOMA) system, outage probability, primal decomposition.

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Improper Gaussian signaling on the two-user SISO interference channel

Cited by 46 publications

References 9 publications

A Journey From Improper Gaussian Signaling to Asymmetric Signaling

A Journey From Improper Gaussian Signaling to Asymmetric Signaling

Block-Skew-Circulant Matrices in Complex-Valued Signal Processing

Performance Analysis and Fairness Maximization in NOMA Systems With Improper Gaussian Signaling Under Imperfect Successive Interference Cancellation

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