Question

(Signal Property) Under what condition is a discrete-time signal x[????] or a continuous-time signal x(????) periodic? Determine whether or not the following signals are periodic. If the signal is periodic, determine the fundamental period. Justify your answer.

a. x(t) = 5sin(3t+1)
b. x[ n] = Cos(π/4n)

Answer 1

a. 2x/3

b. 8

Step-by-step explanation:

fundamental period can be defined to mean that at after every period of 2π radians or 360° the value of graph is repeated. For such functions the fundamental period is the period after which they repeat themselves.

It van also be looked as The fundamental period of cos(θ) is 2π. That is (for example) cos(0) to cos(2π) represents one full period.

Please see attachment for the step by step solution.