Suppose we sample a signal at frequency Fs. If we collect 7.7 kilo-samples in 2.6 seconds, what is Fs in Hz (samples/second)?

Please provide your answer in at 5 significant figures.

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).

Suppose we sample a signal at frequency Fs. If we collect 7.7 kilo-samples in 2.6 seconds, what is Fs in Hz (samples/second)? Please provide your answer in at 5 significant figures.

Find the sampling frequency (Fs) for a signal where 7.7 kilo-samples are collected in 2.6 seconds. This detailed solution demonstrates the use of the formula Fs = Number of samples / Time and provides the result to 5 significant figures. Learn key concepts such as signal sampling and the Nyquist-Shannon Sampling Theorem. Suitable for university-level students.

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