Bodempudi, N.S.P.Chaturvedi, A.Rashmi, R.Kulkarni, M.2026-02-032025AEU - International Journal of Electronics and Communications, 2025, 200, , pp. -14348411https://doi.org/10.1016/j.aeue.2025.155946https://idr.nitk.ac.in/handle/123456789/20047Generalized Frequency Division Multiplexing (GFDM) is a flexible multicarrier modulation scheme tailored to meet the diverse requirements of 5G and beyond (B5G) wireless systems. It provides flexibility to select subsymbols, subcarriers, and pulse-shaping filters, making it suitable for various B5G communication needs. Moreover, GFDM includes orthogonal frequency division multiplexing (OFDM) and single carrier frequency domain equalization (SC-FDE) as special cases. Since fading conditions greatly affect communication reliability, this paper derives a closed-form expression for the symbol error probability/symbol error rate (SEP/SER) of GFDM using M-QAM and M-PSK in generalized ????? fading channels. The study examines how fading parameters (?,?,?), pulse-shaping filters, roll-off factor, and subsymbol count influence SER performance. Results show these factors have a significant impact on error probability. This comprehensive analysis provides important insights for evaluating GFDM performance under complex fading scenarios, making it a valuable reference for GFDM system design for B5G wireless applications. © 2025ErrorsFading channelsOrthogonal frequency division multiplexingProbability density functionPulse shapingSignal receiversError probabilitiesFrequency-division- multiplexingFrequency-flat fadingFrequency-selective fadingGeneralized frequenciesGeneralized frequency division multiplexingPrototype filtersSERSymbol errors? – ? – ? fadingFrequency selective fadingAnalysis of symbol error probability in GFDM under generalized ????? channels: An approach based on probability density function for beyond 5G wireless applications