Frequency

Values of angular frequency of discrete-time sinusoidal signal

Values of angular frequency of discrete-time sinusoidal signal
  1. How do you find the angular frequency of a discrete signal?
  2. What is the maximum frequency of a discrete-time sinusoidal?
  3. What are the frequencies in the resulting discrete-time signal?
  4. What are the properties of discrete-time sinusoidal signal?

How do you find the angular frequency of a discrete signal?

For a continuous-time or discrete-time, periodic signal, the fundamental frequency is the reciprocal of the fundamental period, such that f0=1/T0orf0=1/N0. For a continuous-time or discrete-time, periodic signal, the fundamental angular frequency is defined by ω0=2πf0.

What is the maximum frequency of a discrete-time sinusoidal?

Eq. (2) shows that a signal with frequency π is an alternating signal, so ω=π clearly is the maximum possible frequency of a discrete-time signal.

What are the frequencies in the resulting discrete-time signal?

A discrete-time signal of fundamental period N can consist of frequency components separated by 2π/N radians or f = 1/N cycles.

What are the properties of discrete-time sinusoidal signal?

Property 1. The discrete time sinusoids whose frequency are separated by an integer multiple of 2π are identical. Property 2. The frequency of oscillation of discrete time sinusoids sequence increases as ω increases from 0 to π.

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