Question

Four independent massages have bandwidths of 100 hz. 100 hz, 200 hz and 400 hz, respectively. Each is sampled at the nyquist rate, and the samples are time division multiplexed (tdm) and transmitted. The transmitted rate (in hz) is select one:

Answer 1

Answer:

1600

Explanation:

The Nyquist rate is the minimum rate at which a signal is sampled without the introduction of errors, and is twice the highest frequency present in the signal.

Thus, the given four messages of 100 hz. 100 hz, 200 hz and 400 hz, will be sampled at the Nyquist rate  as -

1st – message fs1 = 200hz

2nd – message fs2 = 200hz

3rd – message fs3 = 400hz

4th – message fs4 = 800hz

Thus, 200+200+400+800 = 1600

There are 1600 samples in 1 sec

So, the speed of commutator is 1600 samples per sec