bandwidth

What is bandwidth? And how to measure it?

Bandwidth is the width or space that is available for  transmission of the amount of data through it

The \quad range \quad of\quad frequencies \quad a\quad channel\quad can\quad pass\begin{cases}     100Hz & \text{}\\     400Hz & \text{}\\  600Hz & \text{}\\  800Hz & \text{}   \end{cases} Bandwidth(bw)=Highest frequency(f_h) -Lowest frequency (f_l)

Narrowband: means its bandwidth (f_h-f_l) is much smaller ( by a factor of 10 or more) when compared with median frequency (f_h+f_l)/2  otherwise it is called a Wideband

Bandlimited: the signal is bandlimited when its spectrum is zero outside its frequency range

|f| \geq Bw

An analog to understand bandwidth

Rendered by QuickLaTeX.com

Consider road as a  channel,  and vehicles as data the wider the road the more vehicle can pass through it

The same analogy applies to bandwidth the wider the bandwidth the larger the amount of data can be transferred or pass through it, the narrower the bandwidth more congested will the channel and data congestion will lead to network slow down

How to measure Bandwidth?

Example: suppose a periodic signal is decomposed into four sine waves with frequencies of  100,400,600,800 then what is a bandwidth  of a signal?

Solution:
Bw=f_h - f_l

Let Bw be the required bandwidth,f_h be the highest frequency and f_l be the lowest frequency
Bw =f_h -f_l = 800-100 =700 Hz

Drawing  the spectrum which has only four spikes at 100,400,600,800

Rendered by QuickLaTeX.com

Mohammed Anees

Hey there, welcome to aneescraftsmanship I’m Mohammed Anees an independent developer/blogger.

Leave a Reply

Your email address will not be published.