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The zoom FFT (ZFFT) has been utilized in various digital signal processing systems, it is used when a fine spectral resolution is needed within a small portion of a signal's overall frequency range. It has been implemented in different fields and for different applications. This paper presents an implementation method of the ZFFT approach to estimate the spectral peak in the FMCW radar using a field programmable gate arrays (FPGA). It has been utilized to decrease the calculations complexity, hence, reduction the power consumption. The approach has been realized and a complexity reduction factor of up to 8 has been gained and tested on an FMCW radar processing system. Index Terms-Discrete Fourier transforms, chirp radar, radar position measurement, field programmable gate arrays.