A method for synchronizing a measuring signal (χDut) with a reference signal (χRef) with the following process steps:– Determining (24; 48) of a coarse temporal displacement (δ ^ τ) and / or of a coarse phase offset (φ ^) of the measuring signal (χDut) with respect to the reference signal (χRef),– Compensating (25; 49) of the coarse temporal displacement (δ ^ τ) and / or of the coarse phase offset (φ ^) in the measurement signal (χDut),– subsequent common estimating (26; 50) of a fine temporal displacement (delta t), a fine frequency offset (δf), a fine phase offset (φ) and the deviation of the amplification factor (gain) of the measured signal with respect to the reference signal with a maximum - likelihood - a method and– Compensating (27; 51) of the fine temporal displacement (delta t), of the fine frequency offset (δf), of the fine phase offset (φ) and the deviation of the amplification factor (gain) in the measurement signal (χDut),wherein the determination of (24; 48) of the coarse temporal displacement (δ ^ τ) and / or of the coarse phase offset (φ ^) the measurement signal (χDut) , and the reference signal (χRef) in each case of a fourier transformation (34, 35; 102, 103) are subjected to fourier transform signals is conjugated complex multiplied..
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