The determination of the quantum properties of a single-mode radiation
field by heterodyne or double homodyne detection is studied. The real
istic case of not fully efficient photodetectors is considered. It is
shown that a large amount of quite precise information is available, w
hereas the completeness of such information is also discussed. Some ex
amples are given and the special case of states expressed as a finite
superposition of number states is considered in some detail.