114k views
5 votes
determine whether the exponential signal is periodic or not summition from -infinity to infinity e⁻⁽²ᵗ⁻ⁿ⁾ x u(2t-n)

User Mms
by
7.3k points

1 Answer

4 votes

Final answer:

An exponential signal of the form e^(-2t-n) x u(2t-n) is periodic with a period of 2 units of time.

Step-by-step explanation:

An exponential signal of the form e^(-2t-n) x u(2t-n) is periodic with a period of 2 units of time.

This can be determined by analyzing the unit step function u(2t-n), which is equal to 1 when 2t-n is positive and equal to 0 when 2t-n is negative.

When the exponential signal is multiplied by the unit step function, it is only active during the interval of time when 2t-n is positive, which results in a periodic signal with a period of 2.

User Reta
by
7.0k points