Journal ArticleDOI
Bit Error Probability for MMSE Receiver in GFDM Systems
TLDR
This letter considers the minimum mean-square error receiver for the generalized frequency division multiplexing system (GFDM) over frequency selective fading channels and derives an approximate probability density function for the signal-to-interference-plus-noise ratio.Abstract:
In this letter, we consider the minimum mean-square error receiver for the generalized frequency division multiplexing system (GFDM) over frequency selective fading channels. We derive an approximate probability density function for the signal-to-interference-plus-noise ratio. This expression allows us to obtain a new approximate, but rather accurate formulation for the bit error probability for a $\mathcal {M}$ -quadrature amplitude modulation scheme. Our results resort on the pivotal properties exhibited by eigenvalues of a circulant matrix. Since the entries of the channel matrix $\text {H}_{\text {ch}}$ are complex Gaussian distributed, and the eigenvalues are given as a weighted sum of its entries, the joint eigenvalue distribution is also Gaussian. Comparisons of the simulated and analytical results validate our formulation and allow a quick and efficient tool to compute the bit error rate for the GFDM system.read more
Citations
More filters
Journal ArticleDOI
Analysis of GFDM in generalized <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e1283" altimg="si285.svg"><mml:mrow><mml:mi>η</mml:mi><mml:mo linebreak="goodbreak" linebreakstyle="after">−</mml:mo><mml:mi>μ</mml:mi></mml:mrow></mml:math> fading channel: A simple probability density function approach for beyond 5G wireless applications
TL;DR: In this paper , the symbol error rate (SER) closed-form expression of generalized frequency division multiplexing (GFDM) system under the generalized η−μ fading channel is derived.
Posted Content
Brain-to-Brain Communication Based on Wireless Technologies: Actual and Future Perspectives
TL;DR: This paper highlights technologies that are being used today to enable brain-to-brain communication and proposes potential wireless communication architectures and requirements for future scenarios.
Posted Content
Practical GFDM-based Linear Receivers
TL;DR: This paper defines the concept of GFDM-based linear receivers, which first performs channel equalization (CEq) and afterwards the equalized signal is processed with GFDM demodulator and analytically proves that GFDM -based receivers achieve equal signal-to-interference-plus-noise ratio per subsymbols within the same subcarrier.
Journal ArticleDOI
CPM-GFDM: A Novel Combination of Continuous Phase Modulation and Generalized Frequency Division Multiplexing for Wireless Communication
TL;DR: In this paper , a continuous phase modulation-generalized frequency division multiplexing (CPM-GFDM) is proposed, where the mapper in the transmitter and the receiver in the receiver of traditional GFDM are replaced by a CPM mapper and de-mapper, respectively.
Proceedings ArticleDOI
Achievable Sum Rate and Outage Capacity of GFDM Systems with MMSE Receivers
Dick Carrillo,Santosh Kumar,Gustavo Fraidenraich,Pedro H. J. Nardelli,Daniel Benevides da Costa +4 more
TL;DR: A Gamma-based approximation approach for the probability density function of the signal-to-interference-plus-noise ratio is presented, based on which accurate analytical formulations for the achievable sum rate and outage capacity of generalized frequency division multiplexing systems (GFDMs) with minimum mean-square error receivers over frequency-selective Rayleigh fading channels are proposed.
References
More filters
Book
Toeplitz and circulant matrices
TL;DR: The fundamental theorems on the asymptotic behavior of eigenvalues, inverses, and products of banded Toeplitz matrices and Toepler matrices with absolutely summable elements are derived in a tutorial manner in the hope of making these results available to engineers lacking either the background or endurance to attack the mathematical literature on the subject.
Journal ArticleDOI
On the general BER expression of one- and two-dimensional amplitude modulations
Kyongkuk Cho,Dongweon Yoon +1 more
TL;DR: This work provides an exact and general closed-form expression of the BER for one-dimensional and two-dimensional amplitude modulations, i.e., PAM and QAM, under an additive white Gaussian noise (AWGN) channel when Gray code bit mapping is employed.
Journal ArticleDOI
Generalized Frequency Division Multiplexing for 5th Generation Cellular Networks
Nicola Michailow,Maximilian Matthe,Ivan Gaspar,Ainoa Navarro Caldevilla,Luciano Leonel Mendes,Andreas Festag,Gerhard Fettweis +6 more
TL;DR: The flexible nature of GFDM makes this waveform a suitable candidate for future 5G networks, and its main characteristics are analyzed.
Journal ArticleDOI
On the distribution of SINR for the MMSE MIMO receiver and performance analysis
TL;DR: A Gamma distribution and a generalized Gamma distribution are proposed as approximations to the finite sample distribution of T and simulations suggest that these approximate distributions can be used to estimate accurately the probability of errors even for very small dimensions.
Journal ArticleDOI
Eigenvalue and eigenvector decomposition of the discrete Fourier transform
J. McClellan,T. Parks +1 more
TL;DR: The eigenvalues of a suitably normalized version of the discrete Fourier transform (DFT) are {1, -1,j, -j} and an eigenvector basis is constructed for the DFT.