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We present 610-MHz Giant Metrewave Radio Telescope observations of 0.84deg$^2$ of the AMI001 field (centred on $00^{\rm h} 23^{\rm m} 10^{\rm s}$,$+31^{\circ} 53'$) with an r.m.s. noise of 18 $\mu$Jy beam$^{-1}$ in the centreof the field. 955 sources are detected, and 814 are included in the sourcecount analysis. The source counts from these observations are consistent withprevious work. We have used these data to study the spectral index distributionof a sample of sources selected at 15.7 GHz from the recent deep extension tothe Tenth Cambridge (10C) survey. The median spectral index, $\alpha$, (where$S \propto \nu^{-\alpha}$) between $0.08 < S_{15.7~\rm GHz} / \rm mJy < 0.2$ is$0.32 \pm 0.14$, showing that star-forming galaxies, which have much steeperspectra, are not contributing significantly to this population. This is incontrast to several models, but in agreement with the results from the 10Cultra-deep source counts; the high-frequency sky therefore continues to bedominated by radio galaxies down to $S_{15.7~\rm GHz} = 0.1$ mJy.

GMRT 610-MHz observations of the faint radio source population - and what these tell us about the higher-radio-frequency sky