Systems and methods for recovering collided packets in a wireless network and block-based error correction

A wireless network base station configured to recover collided packets in a wireless network, comprising:

• a tangible processor;
• and
• a tangible memory comprising processor-executable instructions that, when executed by the tangible processor, cause the tangible processor to:
• detect, by the wireless network base station, the collided packets, wherein:
• the collided packets were received from respective wireless network nodes;
• the collided packets have respective signal vectors;
• the respective signal vectors have respective peaks that are interleaved as a result of the collision;
• and
• the collided packets comprise respective contiguous symbols having respective symbol boundaries;
• calculate respective estimated symbol boundaries of the collided packets;
• identify respective carrier frequency offsets (CFO) of the collided packets;
• calculate the respective signal vectors of the collided packets by:
• aligning the collided packets in time to the respective estimated symbol boundaries;
• and
• correcting the respective CFOs of the collided packets to respective estimated CFOs;
• find peaks in combined signal vectors of the collided packets;
• and
• assign, by the wireless network base station, a specific peak found in the respective peaks of the adjusted signal vectors to a respective specific packet in the collided packets, wherein the assigning comprises:
• calculating a matching cost, per-collided packet, from an amplitude of the specific peak and a time when the specific peak occurred, wherein the matching cost is determined from a combination of per-collided packet parameters comprising:
• respective estimated symbol boundaries of the collided packets;
• the respective estimated CFOs of the collided packets;
• and
• a peak amplitude history of prior packets received from the respective wireless network nodes;
• and
• assigning, based on a respective specific packet in the collided packets having the parameters producing a lowest matching cost among the calculated matching costs, the specific peak to the respective specific packet.

A non-transitory computer-readable medium, comprising processor-executable instructions stored thereon configured to cause a processor to:

• detect, by a wireless network base station, collided packets, wherein:
• the collided packets were received from respective wireless network nodes;
• the collided packets have respective signal vectors;
• the respective signal vectors have respective peaks that are interleaved as a result of the collision;
• and
• the collided packets comprise respective contiguous symbols having respective symbol boundaries;
• calculate respective estimated symbol boundaries of the collided packets;
• identify respective carrier frequency offsets (CFO) of the collided packets;
• calculate the respective signal vectors of the collided packets by:
• aligning the collided packets in time to the respective estimated symbol boundaries;
• and
• correcting the respective CFOs of the collided packets to respective estimated CFOs;
• find peaks in combined signal vectors of the collided packets;
• and
• assign, by the wireless network base station, a specific peak found in the respective peaks of the adjusted signal vectors to a respective specific packet in the collided packets, wherein the assigning comprises:
• calculating a matching cost, per-collided packet, from an amplitude of the specific peak and a time when the specific peak occurred, wherein the matching cost is determined from a combination of per-collided packet parameters comprising:
• respective estimated symbol boundaries of the collided packets;
• the respective estimated CFOs of the collided packets;
• and
• a peak amplitude history of prior packets received from the respective wireless network nodes;
• and
• assigning, based on a respective specific packet in the collided packets having the parameters producing a lowest matching cost among the calculated matching costs, the specific peak to the respective specific packet.