A digital signal receiving apparatus includes: detection-judging portion judging a possible presence of a desired signal when a signal level of a smoothed signal is greater than a reference level; wherein said first smoothed signal and said second smoothed signal are compared in order to generate a detection signal representing a judgment of a possible presence of a desired signal, said second smoothed signal having a convergence speed slower than that of the first smoothing filter, a filter controlling portion switching an adaptive filter from an adaptive mode to a non-adaptive mode when the detection-judging portion judges the possible presence of the desired signal and switching from the non-adaptive mode to the adaptive mode when the detection-judging portion judges the absence of the desired signal; a limiting portion limiting a signal level of an auto-correlation signal to the signal level of the smoothed signal; and a demodulating portion demodulating the auto-correlation signal having the signal level limited by the limiting means so as to generate a demodulated signal, wherein the input to the demodulator is limited to the level of a smoothed signal, said smoothed signal being generated from the input of the detection judging portion.