Examples are disclosed to perform signature matching using noise cancellation models to achieve consensus. Example apparatus disclosed herein include a signature matcher to compare a first stream of monitored media signatures to streams of reference signatures representative of corresponding reference media to determine a first signature match, and compare a second stream of monitored media signatures to the streams of reference signatures to determine a second signature match; a match selector to use at least one the first signature match or the second signature match to identify a first one of the reference media corresponding to the monitored media data; and a creditor interface to output identification data for the first one of the reference media identified with the at least one the first signature match or the second signature match, the identification data to be used to credit a media exposure corresponding to the monitored media.