why bandwidth is related to pulse width that is b=1/τ where τ is the pulsewidth why this happens any reason it somewhat odd no buk has xplanation on it
I am sorry but bandwidth depends on the wave characteristics. The equation you mentioned closely resembles f=1/T, where T is the time period/wave length and f is the frequency.
For a typical square wave re-production, I read in some power electronics book, a bandwidth of 9-11 times the frequency is required, higher is always better though,.
If you are not aware of the fourier theorem then I suggest you take a quick intro on it.
no man it is correct relation i heve read this relation in the foriegn author buk that is radar modelling by using matlab it is fully correct but no justififcation is given for it it is the cncept use in radar modelling i m doing also project on it ie summer training every thing is cleared but this relation is not digestable becoz in no other comm buk the there is no relation between pulsewidth and bandwidth plz help!!!!!!!!!!
Hi there.
Your question has two parts.
First what is band width?
It is the difference between the lowest frequency component and the highest.
How is frequency determined?
By the period of existence of a signal.
That is the sum of on and off periods. f=1/T
where T = Ton+Toff.
Now the second part.
What is pulse width?
It only exists for rectangular signals and is taken as the Period of existence of a high signal.
And you may have noticed that rect pulses do not possess different frequency components. That means the only f component present must be the band width.
And f=1/T
but here T is the period for which the signal exists and that is pulse width.
Hence the relation.
Actually speaking there is no relation between pulsewidth and bandwidth at all.
It is because,
If the signal is time limited to \[T\] sec, then its frequency spectra is non-zero for whole frequency range. This means that the signal has \[\infty\] bandwith.
Hi wowhaha.
If a "signal is time limited" still it'll have its frequency components that determine its bandwidth. That means every single rectangular pulse has its pulse width fixing its bandwidth.
Added after 43 seconds:
Hi wowhaha.
If a "signal is time limited" still it'll have its frequency components that determine its bandwidth. That means every single rectangular pulse has its pulse width fixing its bandwidth.