The burst mode link analyser with least squares algorithm (BMLA/LS) is a real‐time impulse or frequency response extraction (IRE/FRE) technique of a satellite communication channel, originated and explored by the author. This paper summarizes some key technical points of the BMLA/LS and presents its novel simulation results and applications in a land‐mobile DBPSK/DQPSK satellite channel at Ka‐band, including the channel additive white Gaussian noise (AWGN) effect on IRE/FRE by BMLA/LS, and the instantaneous IRE/FRE in a Rician channel with multi‐path reflection, in a shadowed channel by trees and in a combinational fading channel, and their comparisons and conclusions.