Principles of terahertz (THz) interferometric synthetic aperture imaging with heterodyne and optical techniques are presented. A THz interferometric experiment based on optical up-conversion is set up. The received THz signal is modulated into an optical carrier and transmitted in a fiber. To simulate phase differences between two THz receivers, the output of receiver is divided and a phase shifter is placed before electro-optical modulation (EOM). Interferometric spectra of these modulated optical signals are examined at different phase shifts. Otherwise, carrier suppression and phase error calibration are discussed for THz interferometric synthetic aperture imaging.