KruthikaMithra
Newbie level 4
I read in a book that discrete time signals are periodic only if 'f' is a rational number. Why doesn't this rule apply for continuous time signals? For a continuous time signal x(t)=Acos(2πft) , let 'T' be fundamental period. Consider x(t+T) = Acos(2πf(t+T)) = Acos(2πft+2πfT)
By periodic property x(t)=x(t+T) . I.e. Acos(2πft)= Acos(2πft+2πfT) . Will this not imply 2πfT=2πk where k is an integer and hence f=k/T a rational number? Plz help!
By periodic property x(t)=x(t+T) . I.e. Acos(2πft)= Acos(2πft+2πfT) . Will this not imply 2πfT=2πk where k is an integer and hence f=k/T a rational number? Plz help!