Howtosignalprocessing
- Is it possible to have infinite bandwidth?
- Why can't we have infinite bandwidth?
- Can a signal be band-limited and time limited?
- What is the bandwidth of continuous time signal?
Is it possible to have infinite bandwidth?
Bandwidth is the difference between the upper and lower frequencies in a continuous band of frequencies . In real life there can be infinite frequencies of different wavelength so corresponding to infinite frequencies , there can be infinite bandwidth.
Why can't we have infinite bandwidth?
Simple answer? You can't sample a infinite bandwidth signal because according to Nyquist's theorem , a bandlimited signal can be fully reconstructed from its samples, provided that the sampling rate exceeds twice the maximum frequency in the bandlimited signal.
Can a signal be band-limited and time limited?
Mathematically, a signal can never be truly band-limited. A law of Fourier transformations says that if a signal is finite in time, its spectrum extends to infinite frequency, and if its bandwidth is finite, its duration is infinite in time.
What is the bandwidth of continuous time signal?
Bandwidth is defined as the difference between the highest and lowest frequencies of a given signal ou system. With this in mind, signal a) has one single frequency of 2 rad/s and so its bandwidth is 2-2=0 rad/s.
