"SW adaptation" - Fundamental and examples

Super resolution has been an active field during the last fifty years. Previous works have shown that the super resolution effect is an SW adaptation process which adapts the SW acceptance chart of the signal to the one of the system [1, 2]. This new point of view is based on handling the Wigner chart of the input signal as well as the Wigner chart of the signal which can be accepted by the system, by taking into account the number of degrees of freedom of the signal and the system and then studying the distribution of the degrees of freedom in the Wigner chart. In this paper we draw the distinction between geometrical super resolution and diffraction limited resolution. In addition we introduce the term system's and signal's geometrical SW and show that the SW adaptation approach previously demonstrated is valuable only to binary sensing devices. In practical cases, the dynamic range of the detector (geometrical super resolution) is also a factor that determines the number of degrees of freedom and thus it should also be taken into account in the adaptation process. As a result, for 1-D objects, instead of adapting 2-D chart as was done in previous SW adaptation process, one needs to adapt 3-D chart and the process of adaptation should be coined 3-D SW adaptation process. Several examples demonstrate the SW adaptation process for obtaining the desired super resolution effect.