Systems, methods, and media for estimating one or more line biases for a multi-antenna array

A method for estimating a line bias between two antennas of a multi-antenna array having a plurality of antennas, the method comprising:

• calculating a selected number of differential measurements from (1) first measurements obtained in an observation window based on navigation signals received at a first antenna of the multi-antenna array and (2) second measurements obtained in the observation window based on the navigation signals received at a second antenna of the multi-antenna array;
• removing an integer portion from each of the differential measurements to produce a plurality of fractional differential measurements;
• calculating a baseline vector estimate and a fine line bias estimate for each of a plurality of candidate line bias values by executing an estimation algorithm that uses (1) each of the plurality of candidate line bias values with (2) the plurality of fractional differential measurements that are adjusted for a corresponding candidate line bias value;
• selecting a subset of the plurality of candidate line bias values based on output of a test statistic method, wherein the subset includes one or more of the plurality of candidate line bias values;
• identifying a particular candidate line bias value, from the subset, based on a determined smallest fine line bias estimate;
• and
• calculating the line bias between the first antenna and the second antenna as the sum of (1) the particular candidate line bias value and (2) the determined smallest fine line bias estimate corresponding to the particular candidate line bias value.

A non-transitory computer readable medium having software encoded thereon, the software when executed by one or more computing devices operable to:

• calculate a selected number of differential measurements from (1) first measurements obtained in an observation window based on navigation signals received at a first antenna of a multi-antenna array and (2) second measurements obtained in the observation window based on the navigation signals received at a second antenna of the multi-antenna array;
• remove an integer portion from each of the differential measurements to produce a plurality of fractional differential measurements;
• calculate a baseline vector estimate and a fine line bias estimate for each of a plurality of candidate line bias values by executing an estimation algorithm that uses (1) each of the plurality of candidate line bias values with (2) the plurality of fractional differential measurements that are adjusted for a corresponding candidate line bias value;
• select a subset of the plurality of candidate line bias values based on output of a solution separation method, wherein the subset includes one or more of the plurality of candidate line bias values;
• identify a particular candidate line bias value, from the subset, based on a determined smallest fine line bias estimate;
• and
• calculate a line bias between the first antenna and the second antenna as the sum of (1) the particular candidate line bias value and (2) the determined smallest fine line bias estimate corresponding to the particular candidate line bias value.