Howtosignalprocessing
- How do you represent continuous-time signal?
- Why do we sample the continuous-time signal?
- How do you reconstruct a continuous-time signal from its samples?
How do you represent continuous-time signal?
Denote a continuous time signal as x(t) and sampling frequency as fs. Then the sampling period is and the continuous time sampled signal is .
Why do we sample the continuous-time signal?
If samples of a bandlimited continuous-time signal are taken frequently enough, then they are sufficient to represent the signal exactly. The continuous-time signal can then be recovered from the samples. This task is ideally performed by a discrete-to-continuous-time (D/C) converter.
How do you reconstruct a continuous-time signal from its samples?
A continuous time signal can be processed by processing its samples through a discrete time system. For reconstructing the continuous time signal from its discrete time samples without any error, the signal should be sampled at a sufficient rate that is determined by the sampling theorem.
