B.9 KRONECKER DELTA FUNCTION
Definition: Kronecker Delta Function The Kronecker delta function is
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for 
.
Brackets are used so that the Kronecker delta function is not confused with the Dirac delta function. (The symbol δ k is also used for the Kronecker delta function; however, it is not used here because it resembles the Dirac measure discussed in Chapter 2.) It has the following basic properties:
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for 
. The Kronecker delta function is convenient for defining probability mass functions (pmfs) and also for representing discrete-time signals and systems.
Definition: Kronecker Delta Function of Two Variables The two-dimensional Kronecker delta function is
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