An example apparatus includes: at least one memory; programmable circuitry; and machine readable instructions to cause the programmable circuitry to at least: determine beamforming delay profiles for a plurality of channels, the beamforming delay profiles including delay values corresponding to a distance from a channel for a beamline; split the beamforming delay profiles into a plurality of segments; fit the plurality of segments of the beamforming delay profiles to linear segments; generate piece-wise beamforming delay profiles including initial values of the beamforming delay profiles, slopes of the linear segments of the plurality of segments, and durations of the plurality of segments; and store the piece-wise beamforming delay profiles for beamforming.