In illustrative implementations of this invention, an imaging system includes multiple light sources that illuminate a scene, and also includes a lock-in time of flight camera. While the scene is illuminated by these light sources, each of the light sources is amplitude-modulated by a different modulation pattern, and a reference signal is applied to the lock-in time-of-flight camera. The modulation patterns and the reference signal are carefully chosen such that the imaging system is able to disentangle, in real time, the respective contributions of the different light sources, and to compute, in real-time, depth of the scene. In some cases, the modulation signals for the light sources are orthogonal to each other and the reference signal is broadband. In some cases, the modulation codes for the light sources and the reference code are optimal codes that are determined by an optimization algorithm.