Question

I dont understand how to figure out if a signal is in the frequency and time domain

7. Consider f[n] = ejwon and g[n] = ej(wo+21)n, with wo to be a constant. (a) Please decide whether f[n] is periodic or not in the frequency domain, and specify the period if yes. You don't need the Fourier series to solve this, just arguments are fine. (b) Decide whether f [n] is periodic in time domain, and specify the period if yes. (c) Are f[n] and g[n] the same signal? Please verify your answer.

Answer 1

↑ From Given signals gros), f(n) is in time domain (discrete) 1. Here in' represents time domain af F(W), 6(w) is given then the given signals are - in Frecuency domain . fCt), gct) is in time domain Continuous) @ from zerwon fin) revues : For fin) to be periodic fatn)= jwoon. دمے (14) wo) نے . Integer les Won -1 -0 to hold the Equation WoN= 20 m; mis positive N =(20)m or = m = rational number 1. The sequence fon) is periodic if we can a rationamber ② from Eruation from is periodic a If period; N=2U.) m i © gcnses (Wo +27606 eſ won tj&T) g(n)= es wars 12m gin)= e juan i cosant i sinean] gin) = 900) = eiwon fin From above COS2TM= 1} for any value sinzin so ob si