Nyquist Rate
The Nyquist rate of sampling is the lowest theoretical sampling rate at which a signal can be captured and yet be able to be reconstructed from its samples without distortion.
we know that :
fs = 2fm
and Nyquist rate Ts = 1 / fs
Nyquist Interval: The time difference between any two consecutive samples is known as the Nyquist interval when the sampling rate equals the Nyquist rate. The equation is shown below ,
Nyquist Interval = 1 / fs = 1 / 2fm
LTI System
Systems that are both linear and time-invariant are known as linear time-invariant systems, or LTI systems for short. When a system’s outputs for a linear combination of inputs match the outputs of a linear combination of each input response separately, the system is said to be linear. Time-invariant systems are ones whose output is independent of the timing of the input application. Long-term behavior in a system is predicted using LTI systems. The term “linear translation-invariant” can be used to describe these systems, giving it the broadest meaning possible. The analogous term in the case of generic discrete-time (i.e., sampled) systems is linear shift-invariant.
Table of Content
- LTI System
- Types
- Properties
- Transfer Function
- Convolution
- Sampling Theorem
- Nyquist Rate
Contact Us