Filter Bank Multicarrier Modulation (FBMC)

This repository compares FBMC to OFDM based schemes. All Figure from R. Nissel, S. Schwarz, and M. Rupp, “Filter bank multicarrier modulation schemes for future mobile communications”, IEEE Journal on Selected Areas in Communications, 2017,
can be reproduce. In particular this repository

calculates the Power Spectral Density (PSD),
simulates a MIMO transmission,
calculates the Signal-to-Interference Ratio (SIR) in doubly-selective channels,
calculates the time-frequency efficiency,
simulates the throughput.

Requirements

We used Windows 7 (64bit) and Matlab R2013b/2016a, but newer versions (and some older) should also work. Note that Figure 12 requires the Matlab “Communications System Toolbox” for turbo coding.

Reproducible Figures

The figure numbers are the same as in “Filter bank multicarrier modulation schemes for future mobile communications”:

Figure 1:
Just an illustration.
Figure 2:
Please run Figure_02_PowerSpectralDensity.m.
Figure 3:
Please run Figure_03_BERoverSNR_MIMO.m.
Figure 4:
Just an illustration.
Figure 5:
Please run OptimalSubcarrierSpacing/Figure_5_6_7_8_SIR_OptimalSubcarrierSpacing.m. Note that this script uses pre calculated values, stored in OptimalSubcarrierSpacing/Results/. To generate those pre-calculated values, the script OptimalSubcarrierSpacing/Calculate_SIR_SubcarrierSpacing_Velocity.m needs to be executed.
Figure 6:
Please run OptimalSubcarrierSpacing/Figure_5_6_7_8_SIR_OptimalSubcarrierSpacing.m, see comment of Figure 5
Figure 7:
Please run OptimalSubcarrierSpacing/Figure_5_6_7_8_SIR_OptimalSubcarrierSpacing.m, see comment of Figure 5
Figure 8:
Please run OptimalSubcarrierSpacing/Figure_5_6_7_8_SIR_OptimalSubcarrierSpacing.m, see comment of Figure 5
Figure 9:
Please run Figure_09_SpectralEfficiency.m.
Figure 10:
Please run Figure_10_11_TwoSubcarrierSpacingsSameBand.m.
Figure 11:
Please run Figure_10_11_TwoSubcarrierSpacingsSameBand.m.
Figure 12:
Please run Figure_12_Throughput.m.
Figure 13:
Please run Figure_13_PowerSpectralDensityQuantization.m.

Additional Explanations of FBMC

Explained_A_PrototypeFilters.m: Illustration of different prototype filters.
Explained_B_FBMC_OQAM.m: Describes a back-to-back FBMC-OQAM transmission, based on Section III. In particular, the transmit matrix (18)-(22) as well as the IFFT approach (32) are implemented.
Explained_C_Coded_FBMC_OQAM.m: Shows how to find the precoding matrix, see (26) and (27), allowing QAM transmissions in FBMC-OQAM at full rate. Furthermore, it illustrates the time/frequency spreading concept.
Explained_D_SIR_DoublySelectiveChannel.m: Implements Equation (35)-(40). Furthermore, it compares the theoretical values to simulations.

5G New Radio

We also include a comparison to New Radio (NR) waveforms (WOLA, UFMC, f-OFDM):

NR_5G_BER_DoublySelectiveChannel.m: Simulates the Bit Error Ratio (BER) in a doubly-selective channel. It compares FBMC-OQAM, CP-OFDM, WOLA, UFMC and f-OFDM.
NR_5G_SIR_TimeFrequencyOffset.m: Calculates the Signal-to-Interference Ratio (SIR) in case of a time and a frequency offset for FBMC-OQAM, FBMC-QAM, CP-OFDM, WOLA, UFMC and f-OFDM.

Please Cite Our Paper

@ARTICLE{Nissel2017,
	author  = {R. Nissel and S. Schwarz and M. Rupp},
	journal = {IEEE Journal on Selected Areas in Communications},
	title   = {Filter Bank Multicarrier Modulation Schemes for Future Mobile Communications},
	year 	= {2017},
	volume 	= {35},
	number 	= {8},
	pages 	= {1768-1782}, 
	doi 	= {10.1109/JSAC.2017.2710022},
	ISSN 	= {0733-8716},
	month 	= {Aug},
}