In comparison with orthogonal frequency division multiplexing (OFDM), the filter bank multicarrier (FBMC) can reduce the out-of-band emissions through well-designed prototype filters, e.g., the isotropic orthogonal transform algorithm. Accordingly, this paper investigates a design method of nearly perfect reconstruction (NPR) prototype filter to effectively achieve both the filter flexibility and the FBMC frequency selectivity, in which the Nyquist condition can be linearly constrained by using the filter autocorrelation coefficients, and then, the spectral factorization aimed at minimum stopband energy is applied to retrieve the final prototype filter. The computer results show advantages over conventional ones in terms of sidelobe suppression, especially in the region near the transition band. Such advantages finally result in bit-error-rate (BER) superiority in FBMC simulations, which definitely confirms the effectiveness of the proposed design method for NPR prototype filter. Moreover, we also study the coefficient quantization and length reduction of the proposed NPR prototype filter. Fortunately, the quantized NPR filter can preserve its advantage on sidelobe suppression as well as BER. Besides, the proposed filter can produce BER results comparative to the PHYDYAS filter, although our filter length is much smaller than that of the PHYDYAS filter. Finally, these positive results demonstrate that the proposed method can benefit the FBMC applications in terms of flexible performance and simplified complexity.
This is a preview of subscription content, access via your institution.
Buy single article
Instant access to the full article PDF.
Tax calculation will be finalised during checkout.
Ijaz A, Zhang L, Grau M, Mohamed A, Vural S, Quddus AU, Imran MA, Foh CH, Tafazolli R (2016) Enabling massive IoT in 5G and beyond systems: PHY radio frame design considerations. IEEE Access 4:3322–3339
Chvez-Santiago R, Szydelko M, Kliks A, Foukalas F, Haddad Y, Nolan KE, Kelly MY, Masonta MT, Balasingham I (2015) 5G: the convergence of wireless communications. Wireless Pers Commun 83(3):1617–1642
Cai Y, Qin Z, Cui F, Li GY, McCann JA (2018) Modulation and multiple access for 5G networks. IEEE Commun Surv Tutor 20(1):629–646
Germany FEH, France AC (2015) Final 5GNOW transceiver and frame structure concept D3.3. 5GNOW report. https://www.is-wireless.com/fp7-5gnow/
Levy D, Reichman A (2017) Filter bank multi carrier modulation performance. In: Proceedings of COMCAS 2017 (Tel-Aviv, Israel), Nov 13-15, pp 1–6
Zhao Z, Gong X, Schellmann M (2016) A novel FBMC/OQAM scheme facilitating MIMO FDMA without the need for guard bands. In: Proceedings of WSA 2016 (Munich, Germany), Mar 9-11, pp 1–5
Aminjavaheri A, Farhang A, RezazadehReyhani A, Farhang-Boroujeny B (2015) Impact of timing and frequency offsets on multicarrier waveform candidates for 5G. In: Proceedings of SP/SPE 2015 (Salt Lake City, UT, United states), Aug 9-12, pp 178–183
Dor JB, Berg V, Ktnas D (2015) Channel estimation techniques for 5G cellular networks: FBMC and multiuser asynchronous fragmented spectrum scenario. Trans emerg telecommun technol 26(1):15–30
Hosseini H, Anpalagan A, Raahemifar K, Erkucuk S, Habib S (2016) Joint wavelet-based spectrum sensing and FBMC modulation for cognitive mmWave small cell networks. IET Commun 10(14):1803–1809
Farhang-Boroujeny B (2011) OFDM Versus filter bank multicarrier. IEEE Signal Process Mag 28(3):92–112
Farhang-Boroujeny B (2014) Filter bank multicarrier modulation: a waveform candidate for 5G and beyond. Advances in Electrical Engineering. https://doi.org/10.1155/2014/482805
Sahin A, Gvenc I, Arslan H (2014) A survey on multicarrier communications: prototype filters, lattice structures, and implementation aspects. IEEE Commun Surv Tutor 16(3):1312–1338
Shaeen K, Elias E (2015) Prototype filter design approaches for near perfect reconstruction cosine modulated filter banks-a review. J Signal Process Syst 81(2):183–195
Sahin A, Guvenc I, Arslan H (2012) A comparative study of FBMC prototype filters in doubly dispersive channels. In: Proceedings of GC Wkshps 2012 (Anaheim, CA, United states), Dec 3-7, pp 197–203
Aminjavaheri A, Farhang A, Doyle LE, Farhang-Boroujeny B (2017) Prototype filter design for FBMC in massive MIMO channels. In: Proceedings of ICC 2017 (Paris, France), May 21-25, pp 1–6
Farhang-Boroujeny B (2008) A square-root nyquist (m) filter design for digital communication systems. IEEE Trans Signal Process 56(5):2127–2132
Lu WS, Saramaki T, Bregovic R (2004) Design of practically perfect-reconstruction cosine-modulated filter banks: a second-order cone programming approach. IEEE Trans Circuits Syst Regul Pap 51(3):552–563
Lai X, Lin Z (2014) Optimal design of constrained fir filters without phase response specifications. IEEE Trans Signal Process 62(17):4532–4546
Hua J, Wen J, Lu W, Li F, Jiang B (2014) Design and application of nearly Nyquist and SR-nyquist FIR filter based on linear programming and spectrum factorization. In: Proceedings of ICIEA 2014 (Hangzhou, China), Jun 9-11, pp 64–67
Choi JM, Oh Y, Lee H, Seo JS (2017) Pilot-aided channel estimation utilizing intrinsic interference for FBMC/OQAM systems. IEEE Trans Broadcast 63(4):644–655
This paper is sponsored by National Natural and Science Foundation of China (Grant No.61471322).
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
About this article
Cite this article
Hua, J., Wen, J., Wang, A. et al. Optimization of FBMC Waveform by Designing NPR Prototype Filter with Improved Stopband Suppression. Mobile Netw Appl 26, 1206–1216 (2021). https://doi.org/10.1007/s11036-019-01342-3
- Autocorrelation coefficients
- Prototype filter
- Spectral factorization