THE N-DIMENSIONAL COMPLEX DELTA DISTRIBUTION

The notion of a 1-D complex delta distribution of the form Psi(delta)( t) = delta(t) + j/pi t is used in quantum physics from which it has si nce then proliferated into the theory of signals and systems. This cor respondence recalls the definition of the 1-D complex delta distributi on using the Gabor's notion of the analytic signal and presents the co nsequences of its polar notation. The notions of 2-D and 3-D complex d elta distributions are illustrated with approximating functions and wr itten in the polar notation. Examples of periodic complex delta distri butions are given.