Abstract:In the single-user scenario of data communications, the identification and equalization of the channel can be accomplished blindly (i.e., without training sequences) using second-order statistics (SOS) if suitable diversity in the received signal is exploited. Diversity can be temporal, spatial, or both. In this paper one well known SOS-based method for blind identification and equalization (BIE) of communication channels is extended to the multi-input scenario. It is shown that the application of this SOS-BIE procedure reduces the system to a problem of blind source separation (BSS) of instantaneous linear mixtures. The users' signals can then be recovered in a second stage through appropriate BSS techniques, typically requiring higher-order statistics.
New ditopic and tetratopic chiral ligands, based on the bis(oxazoline) moiety, have been synthesized and their copper complexes tested as catalysts in the benchmark asymmetric cyclopropanation reaction of styrene with ethyl diazoacetate. The polytopic nature of these ligands enables a release–capture strategy to efficiently recycle the enantioselective catalyst by precipitation of a coordination polymer at the end of the reaction. This strategy enables the self‐supported catalyst to be reused up to 20 times leading to good yields and enantioselectivities.
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