What is 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.
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.