Question

The width of the transition band of a linear phase band-pass FIR filter is given as \( 0.1 \pi \). The order of the filter designed using Blackman window is

• A. 12
• B. 25
• C. 54
• D. 110

Hint:

Use the formula \( N = \frac{12 \pi}{\text{Transition Bandwidth}} \) for Blackman window filters.

Answer 1

The Correct Option is C

- The order of the filter \( N \) is given by \[ N = \frac{12 \pi}{\text{Transition Bandwidth}} \] For the Blackman window, \( N = \frac{12 \pi}{0.1 \pi} = 54 \).
Conclusion: The filter order is 54, as given by option (c).