A signal of maximum frequency of 10 kHz is sampled at Nyquist rate. The time interval between two successive samples is

Concept:

Nyquist Sampling interval is defined as the maximum time that:

1) is between regularly spaced samples that will permit the signal waveform to be completely determined.

2) and is equal to reciprocal to twice of the highest frequency in the sampling signal.

i.e., if signal frequency is fm then :

Nyquist rate fs ≥ 2fm

And Nyquist interval:

\({T_s} \le \frac{1}{{2{f_m}}}\)

Calculation:

f_m = 10 kHz

f_s = 20 kHz

\({T_s} \le \frac{1}{{2\times{10}}}\)

Ts = 50 μs