Question
Download Solution PDFThe bandwidth of a raised cosine filter with roll-off factor β (0 to 1) and symbol rate RS is given by:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
A Raised Cosine Filter is a type of filter used in digital communication systems to shape the transmitted signal spectrum and reduce intersymbol interference (ISI).
The filter is characterized by a roll-off factor \( \beta \) and a symbol rate Rs.
Definition:
The roll-off factor \( \beta \) defines how much excess bandwidth is used beyond the Nyquist bandwidth (Rs/2)
The roll-off factor lies between \( 0 \leq \beta \leq 1 \), where:
- β = 0: Ideal brick-wall filter (practically unrealizable)
- β = 1: Maximum bandwidth usage (100% excess)
Formula for Bandwidth:
The total bandwidth (BW) of a raised cosine filter is given by:
\( BW = \frac{R_s}{2}(1 + \beta) \)
Where:
- \( R_s \) = symbol rate
- \( \beta \) = roll-off factor
Last updated on Jun 7, 2025
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