  This paper proposes a generalized model and methods for fast-convolution
(FC)-based waveform generation and processing with specific applications to
fifth generation new radio (5G-NR). Following the progress of 5G-NR
standardization in 3rd generation partnership project (3GPP), the main focus is
on subband-filtered cyclic prefix (CP) orthogonal frequency-division
multiplexing (OFDM) processing with specific emphasis on spectrally well
localized transmitter processing. Subband filtering is able to suppress the
interference leakage between adjacent subbands, thus supporting different
numerologies for so-called bandwidth parts as well as asynchronous multiple
access. The proposed generalized FC scheme effectively combines overlapped
block processing with time- and frequency-domain windowing to provide highly
selective subband filtering with very low intrinsic interference level. Jointly
optimized multi-window designs with different allocation sizes and design
parameters are compared in terms of interference levels and implementation
complexity. The proposed methods are shown to clearly outperform the existing
state-of-the-art windowing and filtering-based methods.
