The real exponential sequence Let us consider the familiar continuous time signal
x(t) = e-a t = e-t /t , t ≥0
The sampled version can be given by setting t = nT
x(nT) = e-anT = (e-a T )n , nT≥0
Dropping T from x(nT) and setting e-aT = a we get the following equation
x(n) = an , n≥ 0
The sequence can be defined for positive and negative n both, by simply writing x(n) = an for all n.
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