The fourth generation (4G) of cellular networks, was initially roll out in 2009/10 byrnsucceeding third generation (3G). The fth generation (5G) is the forthcoming evolution ofrnmobile technology expected to be used by 2020 with a wide range of services and usabilityrnbeyond the use of 4G [1] [2]. Three main services, enhanced Mobile Broadband (eMBB),rnUltra-reliable Low-latency Communication (URLLC) and massive Machine Type Communicationrn(mMTC) will impose di erent requirements on the 5G air interface [2].rnOrthogonal Frequency Division Multiplexing (OFDM) have been the most attractive onernfor the development of wireless communication system like 4G due to several advantagesrnlike ease of implementation, immunity to interference, high data rate etc. Whereas 5Grnwill demand more from physical layer than the current OFDM can deliver. Therefore, morernwaveforms have been proposed to address the challenges of OFDM. In this thesis, we providernanalysis and comparison for the candidate waveforms Filterbank multicarrier (FBMC) andrnUniversal- ltered multicarrier (UFMC).rnTo obtain insightful analysis we will not only introduce the basic principle of the waveformsrnbut also reveal the characteristics of each waveforms. Moreover, performance comparisonrnin terms of Power spectral density (PSD), Bit error rate (BER) and spectral e ciencyrnpresented. Also computational complexity of waveforms in di erent cases evaluated.rnMathematical analysis and characterizations are validated by computer simulation employingrnMathlab. The result shows advantages and drawbacks for each modulation schemes.rnFBMC shows the best spectral leakage among both waveform candidates. This reveals tornbe almost insensitive to multiuser interference to support di erent use cases with in samernbands. UFMC, reveals to be most promising which close to OFDM with advantage of betterrnout-of-band (OoB) emission. Finally, some concepts which should addressed are underlined.