§2.3 Basic Sequences Sinusoidal sequence Acos(@on +and complex exponential sequence Beion are periodic sequences of period N if @oN=2mr where N and r are positive integers Smallest value of N satisfying @N=27r is the fundamental period of the sequence To verify the above fact,consider xiIn]=Acos(@on +p) x2[n]=Acos(@o(n+N)+)§2.3 Basic Sequences • Sinusoidal sequence Acos(ω0n + ϕ) and complex exponential sequence Bejω0 n are periodic sequences of period N if ω0N=2πr where N and r are positive integers • Smallest value of N satisfying ω0N=2πr is the fundamental period of the sequence • To verify the above fact, consider x1[n]= Acos(ω0n + ϕ) x2[n]= Acos(ω0 ( n+N) + ϕ)