Acoustic level sensing apparatus is provided, in which pulses of acoustic energy are transmitted by an electrically energized transducer towards a surface to be sensed, and the electrical output from the transducer following the pulse received by a receiver is digitized and analyzed by a programmed microprocessor to detect a return echo from the surface, so as to produce a digitized echo profile. The digitized echo profile is enhanced by removing narrow peaks likely to correspond with certain types of spurious echo (REMOVE_NARROW_ECHOES_F0), and narrow valleys which may represent fragmentation of a wanted echo (REFORM_FRAGMENTED_ECHOES_F0). Echoes are identified by comparing the profile with a time varying threshold generated derived from a linear regression performed on part of the echo profile (TVT_IN_F2), various different types of comparison being performed and their results combined (ALF_ALGORITHM) prior to selecting the most likely true echo on the basis of the combined results (SELECT_BEST_ECHO_FROM_FILE_3).