This paper focuses on the H∞ filtering problem
for a class of discrete-time systems with stochastic incomplete
measurement and mixed random delays. A more realistic and
accurate measurement mode is proposed to compensate for the
negative influence of both missing data and different time delays
in a random way. In the system, all of the stochastic variables
are mutually independent but satisfy the Bernoulli binary distribution.
In particular, the stochastic infinite distributed delays
are introduced in the discrete-time domain. Sufficient conditions
for the existence of the admissible filter are derived in terms of
linear matrix inequalities, which ensures the asymptotic stability
as well as a prescribed H∞ performance for the filter errors. A
simulation example is exploited to demonstrate the effectiveness
of the proposed design procedures.