# What is normalized angular frequency? [duplicate]

I am new to DSP, and I am self-studying. I came upon this question, and I am stuck at it. Could someone please help me? Here is the question:

In order to digitally create a sinusoid with frequency $$f$$ = 440 Hz, you will need the normalized angular frequency $$\omega$$. How large is $$\omega$$ for a sampling frequency $$f_s$$ = 16 kHz?

## marked as duplicate by Dan Boschen, MBaz, lennon310, Stanley Pawlukiewicz, A_ANov 9 '18 at 9:01

1. Determine the argument of a continuous-time sinusoid with frequency $$f=440$$ Hz.
2. Sample that continuous-time sinusoid by replacing $$t$$ by $$nT$$, $$n\in\mathbb{Z}$$, with $$T=1/f_s$$ being the interval between samples.
This gives you an expression $$\sin(n\omega_0)$$, where $$\omega_0$$ depends on $$f$$ and $$f_s$$. $$\omega_0$$ is the normalized angular frequency.