if a speech signal ranging from 300-3400Hz is sampled, then fs will be Select one:a. none of the valuesb. 600hzc. 6800Hz

Break Down the Problem

1. Identify the range of frequencies in the speech signal: 300 Hz to 3400 Hz.
2. Determine the Nyquist theorem which states that the sampling frequency ($f_s$) must be at least twice the maximum frequency of the signal to avoid aliasing.

Relevant Concepts

1. The maximum frequency ($f_{max}$) is 3400 Hz.
2. According to the Nyquist theorem: $f_s \geq 2 \times f_{max}$

Analysis and Detail

1. Calculate the minimum sampling frequency: $f_s \geq 2 \times 3400 \text{ Hz} = 6800 \text{ Hz}$

Verify and Summarize

1. The minimum sampling frequency needed to sample the speech signal without aliasing is at least 6800 Hz.
2. Among the given choices:
   • a. none of the values
   • b. 600 Hz
   • c. 6800 Hz (This is a valid choice)

Final Answer

The correct answer is c. 6800 Hz.