Performance Testing of Three Modulation Techniques: FBMC, UFMC, and OFDM for 5G - FBMC_UFMC_OFDM_5G-master

In modern 5G communication systems, multi-carrier modulation techniques are crucial for enhancing data transmission rates and spectral utilization efficiency. Prominent modulation schemes include Filter Bank Multi-Carrier (FBMC), Universal Filtered Multi-Carrier (UFMC), and Orthogonal Frequency Division Multiplexing (OFDM). To evaluate their performance, three key metrics are typically employed: Peak-to-Average Power Ratio (PAPR), Spectral Efficiency, and Bit Error Rate (BER).

### Peak-to-Average Power Ratio (PAPR) PAPR measures the ratio between a signal's peak power and its average power. Lower PAPR values help reduce nonlinear distortion in power amplifiers and improve system energy efficiency. FBMC generally demonstrates superior PAPR characteristics compared to OFDM due to its overlapping symbol structure and specialized filter design, while UFMC exhibits intermediate performance. Code implementations typically calculate PAPR using complementary cumulative distribution function (CCDF) curves, where signal peaks are measured across multiple symbol periods.

### Spectral Efficiency Spectral efficiency refers to the amount of valid data transmitted per unit bandwidth. OFDM requires cyclic prefix (CP) to mitigate multipath effects, leading to some spectral wastage. In contrast, FBMC and UFMC optimize filter designs to reduce guard interval requirements, thereby improving spectral utilization. Implementation-wise, spectral efficiency calculations involve measuring throughput per Hertz while accounting for overhead components like CP length and filter tail durations.

### Bit Error Rate (BER) BER reflects transmission reliability by measuring the probability of erroneous bit reception. FBMC's filter design effectively suppresses out-of-band leakage, reducing inter-symbol interference (ISI) and inter-carrier interference (ICI), resulting in better BER performance in multipath channels. UFMC's subband filtering approach provides stronger robustness against frequency offset and phase noise compared to conventional OFDM. BER simulations typically involve transmitting known data patterns through channel models (e.g., AWGN, Rayleigh fading) and comparing received symbols with original constellations.

Overall, FBMC and UFMC demonstrate more balanced performance than OFDM in 5G scenarios, though practical selection requires trade-offs considering hardware complexity and standardization support. Future research could explore hybrid modulation schemes to balance efficiency with compatibility requirements.