Due to their unique vibrational/rotational frequencies in the mid infrared (MIR) fingerprint region, which scans from 500to 1500 cm~（-1）, molecules can be assuredly identified and quantified. Thus, integrated on-chip mid infrared spectroscopicsystems, with low power consumption and high performance, would show great value for numerous applications, such asmedical diagnosis, astronomy, chemical and biological sensing or security. Different solutions can be envisioned, such asFourier-Transform spectrometers, echelle gratings, or arrayed waveguide gratings (AWG). The integrated spatialheterodyne Fourier-Transform spectrometer (SHFTS) shows relaxed fabrication tolerances while applying a phase andamplitude correction algorithm. Meanwhile, it provides high optical throughput and high spectral resolution comparedwith AWG or echelle gratings. However, up to now in the literature, most of the reported integrated Fourier-Transformbased spectrometer is based on silicon-on-insulator operating in the near infrared typically at 1.55 μm wavelength.Thereby the development of integrated Fourier-Transform spectrometers operating in the MIR covering the widefingerprint region is highly desirable. In this work, we experimentally demonstrate the first duel polarization SHFTSoperating in the mid infrared beyond 5 μm wavelength. The fabricated FTS, which is based on the graded-index Ge-richSiGe platform, contains 19 Mach-Zehnder interferometers with a linearly increasing path difference. A spectralresolution better than 15 cm~（-1） has been demonstrated within an unprecedented spectral range of 800 cm~（-1） (from 5 to 8.5μm wavelength).
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