An analog signal has a duration of 200 seconds The spectral

An analog signal has a duration of 200 seconds. The spectral content ranges from near dc to 5 Is. The signal is to be sampled, converted to digital format, and stored in memory for b sequent processing. To assist in recovery, the sampling rate is chosen to be 20% above the cortical minimum, (a) Determine the sampling rate, (b) Determine the minimum number of samples that must be taken if reconstruction is desired.

Solution

The signal duration T=200s

The frequency ranges from 0 to 5Khz

The maximum frequency f_m=5Khz

The minimum sampling rate=2*5Khz=10Khz

A.

The Sampling rate=10+0.2*10=12Khz

Time duration between successive samples=1/12*1000=8.33*10^-5s

B.

Minimum number of samples taken=12000samples/second

For 200seconds is 12000*200=2400000samples