  The Clark-Ocone formula in the theory of discrete-time chaotic calculus holds
only for square integrable functionals of discrete-time normal noises. In this
paper, we aim at extending this formula to generalized functionals of
discrete-time normal noises. Let $Z$ be a discrete-time normal noise that has
the chaotic representation property. We first prove a result concerning the
regularity of generalized functionals of $Z$. Then, we use the Fock transform
to define some fundamental operators on generalized functionals of $Z$, and
apply the above mentioned regularity result to prove the continuity of these
operators. Finally, we establish the Clark-Ocone formula for generalized
functionals of $Z$, and show its application results, which include the
covariant identity result and the variant upper bound result for generalized
functionals of $Z$.
