Analog-to-Digital Conversion › lesson 06 of 100 · Beginner
Calculate Sampling Frequency
This lesson is part of the Analog-to-Digital Conversion course, and after completing it, you will be able to calculate the sampling frequency from a given signal bandwidth. The concept of sampling frequency is crucial in ensuring that the digital representation of an analog signal is accurate and faithful to the original signal.
The sampling frequency can be calculated from the signal bandwidth using a specific formula.
In a real-world scenario, consider a audio signal with a bandwidth of 20 kHz that needs to be digitized. To accurately capture this signal, we need to determine the minimum sampling frequency required, which is typically twice the bandwidth. This is known as the Nyquist rate. The Nyquist rate states that the sampling frequency should be at least twice the highest frequency component of the signal.
The formula to calculate the sampling frequency from the signal bandwidth is: fs = 2 \× bw, where fs is the sampling frequency and bw is the signal bandwidth.
For example, if the signal bandwidth is 20 kHz, the minimum sampling frequency required would be 40 kHz.
Esempi
- Calculate the sampling frequency for a signal with a bandwidth of 10 kHz.Using the formula fs = 2 \× bw, we get fs = 2 \× 10 kHz = 20 kHz.
- Determine the minimum sampling frequency required for a signal with a bandwidth of 50 kHz.Using the formula fs = 2 \× bw, we get fs = 2 \× 50 kHz = 100 kHz.
- What is the sampling frequency required for a signal with a bandwidth of 5 kHz?Using the formula fs = 2 \× bw, we get fs = 2 \× 5 kHz = 10 kHz.
Il corso completo verifica ogni lezione con 5 domande, si adatta al tuo livello e tiene il tuo posto.