What is nyquist rate of $h(t)\cdot h(t)$ and $h(t)\circledast h(t)$

1. What is meant by Nyquist rate?
2. How is Nyquist rate calculated?
3. What is Nyquist frequency formula?
4. What is Nyquist rate in sampling theorem?

What is meant by Nyquist rate?

In signal processing, the Nyquist rate, named after Harry Nyquist, is a value (in units of samples per second or hertz, Hz) equal to twice the highest frequency (bandwidth) of a given function or signal.

How is Nyquist rate calculated?

The Nyquist rate or frequency is the minimum rate at which a finite bandwidth signal needs to be sampled to retain all of the information. For a bandwidth of span B, the Nyquist frequency is just 2 B. If a time series is sampled at regular time intervals dt, then the Nyquist rate is just 1/(2 dt ).

What is Nyquist frequency formula?

The frequency f_n = 1/2Δt is called the Nyquist frequency. When spectra are presented for digital data, the highest frequency shown is the Nyquist frequency.

What is Nyquist rate in sampling theorem?

The theorem states that, if a function of time, f(t), contains no frequencies of W hertz or higher, then it is completely determined by giving the value of the function at a series of points spaced (2W)⁻¹ seconds apart. The sampling rate of 2W samples per second is called the Nyquist rate.