what is minimum sampling frequency to be satisfied to prevent aliasing if signal frequency is 1.4answer in box must be upto 2 decimal places

1. Break Down the Problem

To prevent aliasing, we need to determine the minimum sampling frequency required based on the given signal frequency.

2. Relevant Concepts

According to the Nyquist-Shannon Sampling Theorem, the minimum sampling frequency $f_s$ must be at least twice the highest frequency of the signal $f$: $f_s \geq 2f$ where $f$ is the frequency of the signal.

3. Analysis and Detail

Given:

• Signal frequency $f = 1.4 \, \text{Hz}$

Now, applying the Nyquist theorem: $f_s \geq 2 \cdot 1.4$ Calculating this gives: $f_s \geq 2.8 \, \text{Hz}$

4. Verify and Summarize

We verified the calculation to ensure it's correct, and we have determined that the minimum sampling frequency needed to prevent aliasing for a signal frequency of 1.4 Hz is 2.8 Hz.

Final Answer

$\boxed{2.80}$