Spectrally resolved measurements of microwave radiation in the frequency range 8-170 GHz from the toroidal machine with turbulent heating, TORTUR, are reported. Spectral resolution was obtained using a ten-channel microwave multiplexer (8-40 GHz), and a far-infrared grating spectrometer (50-170 GHz). Plasma conditions were varied such that 10 GHz< omega ce<50 GHz, and 60 GHz< omega pe<140 GHz, for various choices of the plasma current (up to 200 kA) and electric field strength (1 kV/m<E<5 kV/m). At low frequencies ( omega <or approximately= omega ce), the spectra obtained show evidence for Cerenkov beam-plasma type instabilities, corresponding to the unstable propagation of whistler modes along resonance cones. At higher frequencies, bursts of radiation near omega = omega pe are observed, as well as cyclotron radiation of thermal origin near 2 omega ce and 3 omega ce. The latter was used to give information on the electron temperature distribution, showing a high temperature in the turbulent skin region, followed by an extremely fast energy transport to the plasma core.