Abstract
The focus of this chapter is on novel multi-carrier communication techniques, which share the common goal of increasing spectrum efficiency in future communication systems. In particular, a technology termed Spectrally Efficient Frequency Division Multiplexing (SEFDM) is described in detail outlining its benefits, challenges and trade-offs when compared to the current state-of-the-art. A decade of research has been devoted to examining SEFDM from different angles; mathematical modelling, algorithm optimisation, hardware implementation and system experimentation. The aim of this chapter is to therefore give a taste of this technology and in doing so, the chapter is organised as follows; first, it is explained how SEFDM fits within the remit of future 5th Generation (5G) communication systems; second, the design principles and implementation trade-offs associated with SEFDM systems are described; third, a number of linear and more sophisticated polynomial detection schemes are compared in terms of performance and complexity; finally, the chapter concludes by outlining a number of experimental testbeds which have been developed for the purpose of evaluating the performance of SEFDM in practical scenarios.
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Notes
- 1.
The notations \(\mathfrak{R}e\) and \(\mathfrak{I}m\) represent the real and imaginary parts of a complex number, respectively, l denotes the SEFDM symbol index, n denotes the sub-carrier index and s l, n represents the information symbol conveyed by sub-carrier with index n during the time stamp with index l.
- 2.
A matrix is singular if its determinant is equal to zero [71].
- 3.
An N-tuple is a sequence or ordered set of N elements.
- 4.
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Darwazeh, I., Grammenos, R.C., Xu, T. (2017). Spectrally Efficient Frequency Division Multiplexing for 5G. In: Xiang, W., Zheng, K., Shen, X. (eds) 5G Mobile Communications. Springer, Cham. https://doi.org/10.1007/978-3-319-34208-5_10
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