Efficient LDPC code decoding with new minus operator in a finite precision
radix system. A new mathematical operator is introduced and applied to
the decoding of LDPC coded signals. This new operator is referred to as
the min.dagger.- (min-dagger minus) operator herein. This min.dagger.-
processing is appropriately applied during the updating of the edge
messages with respect to the variable nodes. In a bit level decoding
approach to decoding LDPC coded signals, the updating of the edge
messages with respect to the bit nodes is performed using the new
min.dagger.- operator. This approach provides very comparable performance
to min** processing as also applied to updating of the edge messages with
respect to the bit nodes and may also provide for a significant savings
in hardware. Also, within finite precision radix systems, the new
min.dagger.- operator provides a means by which always meaningful results
may be achieved during the decoding processing.