Howtosignalprocessing
- What is the bandwidth theorem?
- How is time-bandwidth product calculated?
- What is meant by the time-bandwidth product for a signal what is its significance in analogy to uncertainty principle?
- What is the bandwidth time interval product describing a pulse?
What is the bandwidth theorem?
In radio terminology, Heisenberg's uncertainty principle is called the bandwidth theorem, and it states that the rate at which information is carried over a radio band is proportional to the width of that band.
How is time-bandwidth product calculated?
The time-bandwidth product is TBP=Τ/τ. A pulse compression radar using Barker codes would be limited to a maximum time-bandwidth product of 13. As you can see in this example, the time-bandwidth product is equal to the possible pulse compression rate.
What is meant by the time-bandwidth product for a signal what is its significance in analogy to uncertainty principle?
The time-bandwidth product measures how well we use the available bandwidth for a given channel. Considering the predefined formulae for variances in time and frequency of the signal x(t) the uncertainty principle derivation leads to a lower limit of 0.25.
What is the bandwidth time interval product describing a pulse?
The time–bandwidth product of a light pulse is the product of its temporal duration and spectral width (in frequency space). In ultrafast laser physics, it is common to specify the full width at half-maximum (FWHM) in both time and frequency domain.
