  Wigner and Husimi quasi-distributions, owing to their functional regularity,
give the two archetypal and equivalent representations of all
observable-parameters in continuous-variable quantum information. Balanced
homodyning and heterodyning that correspond to their associated sampling
procedures, on the other hand, fare very differently concerning their state or
parameter reconstruction accuracies. We present a general theory of a now-known
fact that heterodyning can be tomographically more powerful than balanced
homodyning to many interesting classes of single-mode quantum states, and
discuss the treatment for two-mode sources.
