Let x1(t) and x2(t) be periodic signals with fundamental periods T1 and T2 respectively.Then the fundamental period of x(t)=x1(t)+x2(t) is?(a) LCM of T1 and T2(b) HCF of T1and T2(c) Product of T1 and T2(d) Ratio of T1 to T2The question was posed to me by my school principal while I was bunking the class.Asked question is from Classification of Signals in portion DSP – Basic Signaling of Digital Signal Processing

Let x1(t) and x2(t) be periodic signals with fundamental periods T1 an

1.	Let x1(t) and x2(t) be periodic signals with fundamental periods T1 and T2 respectively.Then the fundamental period of x(t)=x1(t)+x2(t) is?(a) LCM of T1 and T2(b) HCF of T1and T2(c) Product of T1 and T2(d) Ratio of T1 to T2The question was posed to me by my school principal while I was bunking the class.Asked question is from Classification of Signals in portion DSP – Basic Signaling of Digital Signal Processing
Answer» CORRECT answer is (a) LCM of T1 and T2 To explain: For the sum of x1(t) and x2(t) to be PERIODIC the RATIO of their periods should be a rational number, then the fundamental period is the LCM of T1 and T2.

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