Hyperspectral terahertz imaging is a prominent imaging technique that provides the ability to detect and identify objects and substances using a terahertz time-domain spectrometry associated with a scanning setup. In this chapter, we present a similar imaging approach using a terahertz spectrometer which records for each pixel the transmission spectrum. Two-stage linear actuators are used to move the object in the imaging plan using raster scanning. At each scanning position, the system can measure the transmitted intensity and thus provides an intensity image, or it can record the transmitted terahertz pulse in the time domain. These recorded pulses are used to calculate the transmitted spectrum by means of a Fourier transform; this spectrum is then exploited to measure the refractive index and the extinction coefficient of the object. The emission and detection of the terahertz radiation are ensured by two photoconductive antennas, which produce a relatively low power signal. One technique to improve the signal to noise ratio is the lock-in detection, which is implemented here in the imaging software to ensure better performance even with thick objects.