## Poisson Window

The*Poisson window*(or more generically

*exponential window*) can be written

(4.33) |

where determines the time constant :

(4.34) |

where denotes the sampling interval in seconds. The Poisson window is plotted in Fig.3.19. In the plane, the Poisson window has the effect of

*radially contracting the unit circle*. Consider an

*infinitely long*Poisson window (no truncation by a rectangular window ) applied to a causal signal having transform :

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Bartlett (``Triangular'') Window