Let x1(t) and x2(t) be periodic with fundamental periods T1 and T2 respectively. Under what condition be the sum x(t) = x1(t) + x2(t) be periodic ?

(A) Only for T1 = T2 (B) Always periodic

(C) For T1/T2 equal to a rational number (D) Not periodic

1 Answer

Answer :

Let x1(t) and x2(t) be periodic with fundamental periods T1 and T2 respectively. Under what condition be the sum x(t) = x1(t) + x2(t) be periodic ?

(A) Only for T1 = T2 (B) Always periodic

(C) For T1/T2 equal to a rational number (D) Not periodic

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