Question

find the fundamental angular frequency of the following discrete time signal x(n)=36cos(2.4(pi)n)+18sin(3.2(pi)n)​

Answer 1

Answer:

We see that for  to be an integer,  has to divide . But since  is an integer,  also has to divide . Moreover, since  needs to be the smallest integer satisfying the above equation,  has to be the greatest common divisor of both  and , i.e., , and the fundamental period can be written as