In this paper, we propose a triple-mode baseband (BB) receiver (RX) architecture for cyclic prefix orthogonal frequency division multiplexing (CP-OFDM) with weighted overlap and add (WOLA) technique. The system specifications follow the IEEE 802.11ad/ay standard for next-generation millimeter wave communications. This BBRX is a flexible and expandable architecture due to the modularized, parameterized, and feed-forward data flow design strategies. The non-ideal circuit effects, such as frequency offset, phase noise, power amplifier (PA) non-linearity, and adjacent channel interference are jointly considered for the overall performance evaluation. The simulation results show that CP-OFDM with WOLA (W-CP-OFDM) and filter bank multi-carrier (FBMC) present similar out-of-band performance while considering PA non-linearity. The synthesis results indicate that the W-CP-OFDM$/$FBMC has 2.1% / 97% gate count increased overhead as compared to CP-OFDM.