Paper Info
Title
On the study of faster-than-Nyquist multicarrier signaling based on frame theory
Abstract
Multicarrier transmissions are classically based on undercomplete or exact Weyl-Heisenberg Riesz (biorthogonal or orthogonal) bases implemented thanks to oversampled filter-banks. This can be seen as a transmission below the Nyquist rate. However, when overcomplete Weyl-Heisenberg frames are used, we obtain a “faster-than-Nyquist” (FTN) system and it is theoretically impossible to recover exactly transmitted symbols using a linear receiver. Various studies have shown the interest of this high density signaling scheme as well as practical implementations based on trellis and/or iterative decoding. Nevertheless, there is still a lack of theoretical justifications with regard to pulse design in the FTN case. In this paper, we consider a linear transceiver operating over an additive white Gaussian noise channel. Using the frame theory and simulation results, we show that the mean squared error (MSE) is minimized when tight frames are used.
Year
DOI
Venue
2014
10.1109/ISWCS.2014.6933356
Wireless Communications Systems
Keywords
Field
DocType
AWGN channels,channel bank filters,iterative decoding,transceivers,trellis codes,FTN system,MSE,additive white Gaussian noise channel,exact Weyl-Heisenberg Riesz frames,faster-than-Nyquist multicarrier signaling,frame theory,high density signaling scheme,iterative decoding,linear receiver,linear transceiver,mean squared error,multicarrier transmissions,overcomplete Weyl-Heisenberg frames,oversampled filter-banks,tight frames,transmitted symbol recovery,trellis decoding
Telecommunications,Transceiver,Computer science,Algorithm,Mean squared error,Real-time computing,Interference (wave propagation),Time–frequency analysis,Nyquist–Shannon sampling theorem,Biorthogonal system,Decoding methods,Nyquist rate
Conference
Citations 
PageRank 
References 
2
0.40
10
Authors
4
Name
Order
Citations
PageRank
Cyrille Siclet141.14
Damien Roque220.74
Huaqiang Shu3122.78
Pierre Siohan4252.59