Time-Bandwidth Product

Time-bandwidth product is the product of the duration of a signal and its spectral width. Generally, signals of short duration have wide spectral width and vice versa. The time- bandwidth product for actual signals will vary but there will always be a minimum time- bandwidth product for a certain desired effect.

1. How is time-bandwidth product calculated?
2. What is the bandwidth time interval product describing a pulse?
3. How do you calculate pulse bandwidth?
4. What is bandwidth of a Gaussian pulse?

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 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.

How do you calculate pulse bandwidth?

The pulse is calculated using the formula f(t)=exp(-(t-t0)^2/(2dt^2)cos(2*PI*f0*(t-t0)), where f0 is the carrier frequency, t0=1/(2*PI*df) is the pulse half-width and df is the half-bandwidth.

What is bandwidth of a Gaussian pulse?

In many cases, Gaussian pulses have no chirp, i.e., are transform-limited. In that case, the spectral width (optical bandwidth, taken as full width at half maximum) is. which means that the time–bandwidth product is ≈ 0.44.