Question

An analog signal with a bandwidth of 36MHz is sampled at a frequency (fs) of 36,000,000 samples per second during the ADC (analog-to-digital conversion) process. What is the outcome of the received signal after the DAC (digital-to-analog conversion) process

Answer 1

The signal would have experienced aliasing.

Explanation:

Given that:

the bandwidth of the signal
`f_m` = 36MHz

= 36 × 10⁶ Hz

The sampling frequency
`f_s` = 36 × 10⁶ Hz

Suppose the sampling frequency is equivalent to the bandwidth of the signal, then aliasing will occur.

Therefore, according to the Nyquist criteria;

Nyquist criteria posit that if the sampling frequency is more above twice the maximum frequency to be sampled, a repeating waveform can be accurately reconstructed.

∴

By Nyquist criteria, for perfect reconstruction of an original signal, i.e. the received signal without aliasing effect;

Then,

`f_s \geq 2f_m`

∴

The signal would have experienced aliasing.