Methods and apparatus of signal demodulation combining with different modulations and coding for wireless communications

A system for encoding and decoding data comprising:

• a source transmitting information bits in encoded symbols;
• a destination receiving the encoded symbols from the source;
• an encoder at the source encoding the information bits;
• a calculator at the destination respectively calculating a log likelihood ratio for each information bit based on the received encoded symbols;
• an accumulator at the destination recursively accumulating the calculated log likelihood ratios for the information bits and factoring in contribution from each of the received encoded symbols;
• a decoder at the destination decoding the transmitted encoded symbols;
• an error checker at the destination respectively conducting an error check for a block of the decoded information bits;
• wherein an acknowledgment (ACK) is sent to the source for each block of the decoded information bits that pass the error check, and a negative acknowledgment (NACK) is sent to the source for each block of the decoded information bits that do not pass the error check.

A base station transmitting information bits in encoded symbols to a mobile device receiving the encoded symbols from the base station wherein the base station further comprises:

• an encoder encoding the information bits;
• wherein the mobile device further comprises:
• a calculator respectively calculating a log likelihood ratio for each information bit based on the received encoded symbols;
• an accumulator recursively accumulating the calculated log likelihood ratios for the information bits and factoring in contribution from each of the received encoded symbols;
• a decoder decoding the transmitted encoded symbols;
• an error checker respectively conducting an error check for a block of the decoded information bits;
• wherein an acknowledgment (ACK) is sent to the source for each block of the decoded information bits that pass the error check, and a negative acknowledgment (NACK) is sent to the source for each block of the decoded information bits that do not pass the error check.