Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  revisit channel polarization for arbitrary discrete memoryless channels. A closed-form expression is derived to characterize the difference beten the mutual information of the original channel and the virtual channels after one step of channel transformation when the input alphabet and the operation used in the channel transformation form a monoid.  then provide an alternative proof to the one given in [4] for the channel polarization theorem for arbitrary DMCs when the input alphabet set forms a group. The results reveal the connections beten channel polarization and zero-error capacity.
['Jing Guo', 'Jossy Sayir', 'Minghai Qin', 'Albert Guillen i Fabregas']
I am writing a research paper on a idea An alternative proof of channel polarization for channels with arbitrary input alphabets
[{"from": "human", "value": "I am writing a research paper on a idea An alternative proof of channel polarization for channels with arbitrary input alphabets"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  revisit channel polarization for arbitrary discrete memoryless channels. A closed-form expression is derived to characterize the difference beten the mutual information of the original channel and the virtual channels after one step of channel transformation when the input alphabet and the operation used in the channel transformation form a monoid.  then provide an alternative proof to the one given in [4] for the channel polarization theorem for arbitrary DMCs when the input alphabet set forms a group. The results reveal the connections beten channel polarization and zero-error capacity."}]