Howtosignalprocessing
- How reconstruction of signal from its samples is achieved?
- When can a signal be reconstructed?
- How FFT is used to represent a signal?
- What is the aim of signal reconstruction?
How reconstruction of signal from its samples is achieved?
Nyquist Sampling Theorem:
If a signal is band limited and its samples are taken at sufficient rate then those samples uniquely specify the signal and the signal can be reconstructed from those samples. The condition in which this is possible is known as Nyquist sampling theorem and is derived below.
When can a signal be reconstructed?
If a continuous-time signal contains only frequencies below the Nyquist frequency fs/2, then it can be perfectly reconstructed from samples taken at sampling frequency fs.
How FFT is used to represent a signal?
The FFT algorithm is used to convert a digital signal (x) with length (N) from the time domain into a signal in the frequency domain (X), since the amplitude of vibration is recorded on the basis of its evolution versus the frequency at that the signal appears [40].
What is the aim of signal reconstruction?
Signal reconstruction is the core content of compressed sensing, the aim is to get the method and technology of the original signal reconstruction estimation from the signal's compression observation.
