# Complex exponential X delta function

1. Problem Statment:
Sketch the sequence x(n)=$\delta$(n) + exp(j$\theta$)$\delta$(n-1) + exp(j2$\theta$)$\delta$(n-2) + ...

3. Attempt at the Solution:
The angle theta is given in this case Can someone remind me of how to multiply a complex exponential by a delta function? This sequence represents impulse signals. Such multiplication yields a real and imaginary component. Would I ignore the imaginary component and essentially keep the cos(k$\theta$)? Thanks very much.

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cepheid
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