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B refers to the maximum occurrence in the initial signal.
Bandwidth refers to the highest quantity of data which can be transmitted in a given time in a communication channel. On the other hand, speed refers to the amount of time it takes to transfer the data to its required target (Lucas, 2000). It requires that to have a high speed of transmission of data, the bandwidth should also be high. For low transmission rates, the bandwidth should be low
The theorem depicts that after sampling has been done on an analog signal which is band limited, it can then be rightly redeveloped from an unlimited series of samples on condition that the speed of sampling is more than two B samples in every second. However, in case the signal has an element at unerringly B hertz, it is then evident that the samples separated at unerringly two B in every second cannot verify the signal entirely.
If the sampling system does not meet the conditions of the theorem, several elements with maximum frequencies in the input of the analog signal will not be properly characterized in the output of the digital signal (Lucas, 2000). Attempting to convert digital to analog signals will lead to the appearance of wrong frequency elements that did not exist in the initial signal. This alteration is referred to as aliasing.
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