Widely linear FRESH receivers for cancellation of data-like rectilinear and quasi-rectilinear interference with frequency offsets.

• We extend, for R and QR data-like MUI and arbitrary propagation channels, the standard two-input SAIC/MAIC WL receivers to data-like MUI with an arbitrary non-zero residual FO, showing that SAIC/MAIC remains possible in this case. • We prove that for a data-like MUI having a non-zero residual frequency offset and spectrally overlapping with the SOI, the extended two-input SAIC/MAIC WL receiver is less efficient for QR signals than for R ones. • We extend, for QR data-like MUI and arbitrary propagation channels, the enhanced three-input SAIC/MAIC WL receiver aleady introduced to data-like MUI with a non-zero residual residual frequency offset, allowing a SAIC/MAIC improvement with respect to the extended two-input SAIC/MAIC WL receivers. • We analyze, both analytically and by simulations, for both R and QR data-like MUI, the impact of the non-zero MUI residual frequency offset on the performance of the proposed extended two and three-input WL FRESH receivers. Widely linear (WL) receivers have been developed in the past for single antenna interference cancellation (SAIC) of one rectilinear (R) or quasi-rectilinear (QR) data-like multi-user interference (MUI) or co-channel interference (CCI) in particular. The SAIC technology has been implemented in global system for mobile communications (GSM) handsets in particular and has been further analyzed for voice services over adaptive multi-user channels on one slot (VAMOS) standard. It remains of great interest for several current and future applications using R or QR signals, such as anti-collisions processing in radio frequency identification (RFID) or in satellite-AIS systems and to densify 5G and Beyond 5G (B5G) networks through one dimensional signaling or over-loaded large MU-MIMO systems. It may be required to cancel the inter-symbol interference (ISI) of control and non-payload communications (CNPC) links of unmanned aerial vehicles (UAV) and the inter-carrier interference (ICI) of filter bank multi-carrier offset quadrature amplitude modulation (FBMC-OQAM), which are now candidate for B5G mobile networks. For these challenging applications, the development of enhanced WL filtering based SAIC or Multiple Antenna Interference Cancellation (MAIC) receivers for R and QR signals may be of great interest. Such a receiver, corresponding to a three-input WL frequency shift (FRESH) receiver, has been introduced recently for QR signals. However this WL receiver is not robust to a data-like MUI having a residual frequency offset (FO), which occurs for most of the previous applications. In this context, the paper first extends, for arbitrary propagation channels, the standards (for R and QR MUI) and the enhanced (for QR MUI) SAIC/MAIC WL receivers to MUI with a non-zero FO. Then, it shows the less efficiency of the two-input WL receiver for QR MUI with a non-zero FO and the performance improvement obtained with the three-input WL receiver. Finally, it analyzes, both analytically and by simulations, for R and QR MUI, the impact of the MUI FO on the performance of the proposed receivers. The results of the paper should allow the development of new powerful WL receivers for UAV CNPC links, anti-collisions AIS systems and for FBMC-OQAM networks in particular. [ABSTRACT FROM AUTHOR]