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What is the minimum sampling rate for this signal?
The minimum sampling rate is often called the Nyquist rate. For example, the minimum sampling rate for a telephone speech signal (assumed low-pass filtered at 4 kHz) should be 8 KHz (or 8000 samples per second), while the minimum sampling rate for an audio CD signal with frequencies up to 22 KHz should be 44KHz.
What is the Nyquist sampling rate for a bandpass signal?
2π
The Bandpass Sampling Theory When sampled at the Nyquist rate of 2π, the four processes gener- ate identical sequences. This rate of sampling rate is appropriate to a signal that is supported on the interval (−π, π), which is described as the base band.
Which is the minimum sampling frequency for a bandpass signal?
The minimum sampling frequency for a 2-GHz bandpass signal with a bandwidth of 20 MHz is only about 40 MHz, as opposed to twice the highest frequency of 4 GHz. This is a reduction of two orders of magnitude. As another example, suppose a bandpass signal has frequency components between 15 kHz and 25 kHz.
How to find the bandpass signal on the spectrum?
In other words, to find ˜X(f), simply scale the bandpass signal’s spectrum by √2, then shift it to the left by f0 along the frequency axis and retain the zone around zero frequency.
What is the implicit assumption in bandpass sampling?
An implicit assumption one makes in the bandpass sampling process applied to measuring a bandpass signal response is that there is only one, narrow band signal in the response being captured. Although this is the case for a large number of real, practical situations, it is not the case universally.
What is the minimum sampling rate for B?
With B = 5 MHz, then, the minimum fs = 11.25 MHz in agreement with Table 2-1. The leftmost line in Figure 2-10 shows the low-pass sampling case, where the sample rate fs must be twice the signal’s highest frequency component. So the normalized sample rate fs/B is twice the highest frequency component over B or 2R.