Procedure for determining the distances to radar targets using an FMCW radar, said procedure comprising: - transmission of a frequency modulated transmission signal, - reception of a reception signal reflected by at least one radar target, - conversion of the reception signal to an intermediate frequency signal, - transformation of the intermediate frequency signal into the frequency domain by means of a fast Fourier transform, wherein a frequency spectrum is obtained as a sequence of frequency sample values (302, 306, 307, 308), - detection of peaks in the frequency spectrum, characterized by: a) Selection of at least three adjacent points (501, 502, 503, 601, 602, 603, 606) of the frequency spectrum in a vicinity of a peak (500, 600), which have the highest frequency amplitudes determined so far, b) Definition of an approximation parabola (604, 607) by the at least three points (601, 602, 603, 606), and introduction of a frequency (f 11, f 12) of a vertex of the approximation parabola (604, 607) as an additional frequency support point, or introduction of additional frequency support points (f 4, f 5, f 6, f 7) by subdividing frequency intervals (f 1, f 2, f 3) between the at least three adjacent points (501, 502, 503) in the frequency domain in the vicinity of the peak, c) Determination of the frequency amplitude at at least one additional frequency support point (f 4, f 5, f 6, f 7, f 11, f 12) using the Goertzel algorithm, d) Repetition of steps a) to c) until a position of a peak maximum of the peak (500, 600) is determined with a predefined accuracy, and - Conversion of the position of the peak maximum to a distance of the radar target. - transmission of a frequency modulated transmission signal, - reception of a reception signal reflected by at least one radar target, - conversion of the reception signal to an intermediate frequency signal, - transformation of the intermediate frequency signal into the frequency domain by means of a fast Fourier transform, wherein a frequency spectrum is obtained as a sequence of frequency sample values (302, 306, 307, 308), - detection of peaks in the frequency spectrum, characterized by: a) Selection of at least three adjacent points (501, 502, 503, 601, 602, 603, 606) of the frequency spectrum in a vicinity of a peak (500, 600), which have the highest frequency amplitudes determined so far, b) Definition of an approximation parabola (604, 607) by the at least three points (601, 602, 603, 606), and introduction of a frequency (f 11, f 12) of a vertex of the approximation parabola (604, 607) as an additional frequency support point, or introduction of additional frequency support points (f 4, f 5, f 6, f 7) by subdividing frequency intervals (f 1, f 2, f 3) between the at least three adjacent points (501, 502, 503) in the frequency domain in the vicinity of the peak, c) Determination of the frequency amplitude at at least one additional frequency support point (f 4, f 5, f 6, f 7, f 11, f 12) using the Goertzel algorithm, d) Repetition of steps a) to c) until a position of a peak maximum of the peak (500, 600) is determined with a predefined accuracy, and a) Selection of at least three adjacent points (501, 502, 503, 601, 602, 603, 606) of the frequency spectrum in a vicinity of a peak (500, 600), which have the highest frequency amplitudes determined so far, b) Definition of an approximation parabola (604, 607) by the at least three points (601, 602, 603, 606), and introduction of a frequency (f 11, f 12) of a vertex of the approximation parabola (604, 607) as an additional frequency support point, or introduction of additional frequency support points (f 4, f 5, f 6, f 7) by subdividing frequency intervals (f 1, f 2, f 3) between the at least three adjacent points (501, 502, 503) in the frequency domain in the vicinity of the peak, c) Determination of the frequency amplitude at at least one additional frequency support point (f 4, f 5, f 6, f 7, f 11, f 12) using the Goertzel algorithm, d) Repetition of steps a) to c) until a position of a peak maximum of the peak (500, 600) is determined with a predefined accuracy, and - Conversion of the position of the peak maximum to a distance of the radar target.