Band

band (short for Frequency band) refers to a continuous, defined range of frequencies between an upper and lower limit.

Band Types

Passband

A Frequency Band referring to the range of frequencies that are allowed to pass through a Filter

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Stopband

A Frequency Band referring to the range of frequencies that a filter attenuates.

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Transition Band

A Frequency Band referring to the narrow range of frequencies between the Passband and the Stopband, i.e. the transition range.

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Guard Band

A Frequency Band referring to the range of frequencies in between two active bands left intentionionally vacant, acting as a guard or buffer zone, in order to mitigate cross-talk.

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Bandwidth

Bandwidth

Bandwidth is the width of a Band, the difference between the upper and lower frequency limits of a signal or channel. You can also think of it as the spread of a Signal’s Frequency Spectrum in the frequency domain.

$$B=f_{high}-f_{low}$$

Shannon’s Channel Capacity Theorem

Shannon's Channel Capacity Theorem

The maximum Data Rate $C$ achievable over a channel of Bandwidth $B$ with a given Signal-to-Noise Ratio is:

$$\begin{array}{rl}C& =B{\log }_2(1+\text{SNR})\\ C& \propto B\end{array}$$Link to original

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