A method for considering an echo amplitude profile as a result of convoluting a single echo with a channel response sequence, wherein for multiple echo detection, an estimation task is broken into three major steps comprising estimating a channel response, recovering a full shape of a single echo, and iteratively updating the channel response and echo shape to increase their accuracy. The estimation of the channel response is treated as a single echo detection problem and includes estimating the strongest echo for its position and amplitude, removing an echo corresponding to this recovered channel from the echo amplitude profile, and repeating the preceding steps for the next strongest echo.