Band-limited

Frequency Domain with bandlimit

Frequency Domain with bandlimit
  1. What is band-limited frequency?
  2. How a band-limited signal can be reconstructed from its samples in time and frequency domains without any loss of signal information?
  3. Why is it necessary to limit the band of a signal?
  4. What is band-limited channels?

What is band-limited frequency?

A signal is said to be band-limited if the amplitude of its spectrum goes to zero for all frequencies beyond some threshold called the cutoff frequency.

How a band-limited signal can be reconstructed from its samples in time and frequency domains without any loss of signal information?

Thus, band-limited signals can be sampled and fully recovered only when observing the Nyquist criterion. For bandpass signals the Nyquist criterion will ensure no aliasing only when the recovery of the signal is done with a bandpass filter; otherwise a higher sampling frequency will be required.

Why is it necessary to limit the band of a signal?

Band limiting ensures that the original input signal can be reconstructed exactly from the ADC's output samples when a sampling frequency ( Undesirable signals, above fs/2, of a sufficient level can create spectrum overlap and add distortion to the desired baseband signal.

What is band-limited channels?

band-limited channel A transmission channel with defined finite bandwidth. All physically realizable channels are band-limited by the constraints of the transmission medium and the drivers and receivers. The bandwidth may be deliberately constrained by filtering to limit the emission of or susceptibility to EMI.

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