Howtosignalprocessing
- How do you sample a sinusoidal signal?
- What happens if you sample at the Nyquist rate?
- How do you sample Nyquist rate?
- What is the difference between sampling and Nyquist rate?
How do you sample a sinusoidal signal?
When sampling the general signal x(t)=Acos(ω⋅t+ϕ)=Acos(2πf⋅t+ϕ) x ( t ) = A cos ( ω ⋅ t + ϕ ) = A cos ( 2 π f ⋅ t + ϕ ) at a sampling frequency fs=1/Ts f s = 1 / T s we obtain x[n]=x(t)|t=n⋅Ts=Acos(ω⋅n⋅Ts+ϕ)=Acos(2πf⋅n⋅1fs),−∞<n<∞ x [ n ] = x ( t ) | t = n ⋅ T s = A cos ( ω ⋅ n ⋅ T s + ϕ ) = A cos ( 2 π f ⋅ n ⋅ ...
What happens if you sample at the Nyquist rate?
It can be seen that by sampling at the Nyquist rate, we can get the frequency information about the signal. However, to faithfully reconstruct the signal, we have to increase the sampling rate even more.
How do you sample Nyquist rate?
The nyquist sampling rate is two times the highest frequency of the input signal. For instance, if the input signal has a high-frequency component of 1 kHz, then the sampler must sample at least 2 kHz, or the signal might alias.
What is the difference between sampling and Nyquist rate?
The Nyquist rate is the minimal frequency at which you can sample a signal without any undersampling. It's double the highest frequency in your continous-time signal. Whereas the Nyquist frequency is half of the sampling rate.
