To determine the sampling frequency $F_s$, we use the formula:

$F_s = \frac{\text{Number of samples}}{\text{Time in seconds}}$

Given:

• Number of samples = $7.7$ kilo-samples $= 7.7 \times 10^3 = 7700$ samples
• Time = $2.6$ seconds

Substitute these values:

$F_s = \frac{7700}{2.6}$

Let's perform the calculation:

$F_s = 2961.53846 \, \text{Hz}$

Rounded to 5 significant figures, the sampling frequency $F_s$ is:

$F_s = 2961.5 \, \text{Hz}$

Would you like further details or have any questions about this?

Here are 5 related questions:

1. What is the relationship between sampling frequency and Nyquist frequency?
2. How does the sampling frequency affect the accuracy of signal reconstruction?
3. What happens if a signal is sampled below its Nyquist frequency?
4. How do you convert between sampling frequency and sampling interval?
5. What is the role of anti-aliasing filters in signal sampling?

Tip: Always ensure that your sampling frequency is at least twice the highest frequency present in the signal to avoid aliasing (Nyquist criterion).