Properties of root raised cosine filter

1. Why is root raised cosine filter used?
2. Which of the statements are the limitations of the raised cosine filters?
3. Why raised cosine filter is used instead of ideal low pass filter in practical system?
4. What is raised cosine pulse shaping?

Why is root raised cosine filter used?

Raised cosine filters are used for pulse shaping, where the signal is upsampled. Therefore, we also need to specify the upsampling factor.

Which of the statements are the limitations of the raised cosine filters?

Raised cosine filter does not satisfy Nyquist criteria.

Why raised cosine filter is used instead of ideal low pass filter in practical system?

A raised cosine filter response is wider than the ideal low-pass filter, due to the transition band. This excess frequency bandwidth is controlled by a parameter called the “roll off” factor. The frequency response is plotted for several different roll off factors.

What is raised cosine pulse shaping?

The raised cosine pulse is one type of Nyquist-II pulse. It possesses a transfer function given by. (3.67) where β is called the roll-off factor, which takes values between 0 to 1, and β/2T is called the excess bandwidth.