Abstract: A method and an apparatus are provided for decoding a polar code. A simplified successive cancellation list (SSCL) decoding tree for the polar code is generated. The SSCL decoding tree includes a plurality of nodes. One or more nodes of the plurality of nodes are identified as employing Reed-Muller codes for decoding. Decoding of received log-likelihood ratios (LLRs) is performed using Reed-Muller codes at the one or more nodes. Hard decision values are output from the one or more nodes.

Abstract: A method and an apparatus are provided for decoding a polar code. A simplified successive cancellation list (SSCL) decoding tree for the polar code is generated. The SSCL decoding tree includes a plurality of nodes. One or more nodes of the plurality of nodes are identified as employing Reed-Muller codes for decoding. Decoding of received log-likelihood ratios (LLRs) is performed using Reed-Muller codes at the one or more nodes. Hard decision values are output from the one or more nodes.

Abstract: Systems and methods are disclosed for combining successive cancellation decoding of polar coding with channel estimation, using a non-elementary mixture of information and redundancy bits for both channel estimation and error correction. For example, select bits of the polar encoder output may be used for an implicit parity check. Reliably-decoded bits may be iteratively incorporated into the set of pilots. The result is a semi-blind approach for channel estimation, which may have applicability to common wireless communication systems, particularly a cellular control channel, or transmissions of short messages on a cellular data channel.