The raised cosine spectrum and Nyquist's criterion for zero ISI

1. What is the Nyquist criterion for zero ISI?
2. What is raised cosine spectrum?
3. What does the Nyquist criterion tell us?
4. What is the formula of Nyquist criterion?

What is the Nyquist criterion for zero ISI?

Key focus: As per Nyquist ISI criterion, to achieve zero intersymbol interference (ISI), samples must have only one non-zero value at each sampling instant. is the symbol period) shown in Figure 1, where the transmitter, channel and the receiver are represented as band-limited filters.

What is raised cosine spectrum?

The raised-cosine filter is a filter frequently used for pulse-shaping in digital modulation due to its ability to minimise intersymbol interference (ISI). Its name stems from the fact that the non-zero portion of the frequency spectrum of its simplest form ( ) is a cosine function, 'raised' up to sit above the.

What does the Nyquist criterion tell us?

The Nyquist criterion states that a repetitive waveform can be correctly reconstructed provided that the sampling frequency is greater than double the highest frequency to be sampled.

What is the formula of Nyquist criterion?

According to Nyquist theory Z=N+P (for any system, whether it is stable or unstable). For the stable system, Z=0, i.e. No roots of characteristics equation should be at RHS. So for the stable system N = –P.