Question

The minimum number of delay elements and multipliers required to implement a linear phase filter with impulse response \( h(n) \) defined for \( 0<n<8 \) are

• A. 7, 8
• B. 7, 4
• C. 6, 6
• D. 7, 5

Hint:

Linear phase FIR filters require fewer multipliers when the impulse response is symmetric.

Answer 1

The Correct Option is D

- For a linear phase FIR filter with impulse response length \( N \), the number of delay elements is \( N - 1 \) and the number of multipliers depends on the symmetry property. - For \( N = 8 \), we need 7 delay elements and 5 multipliers.
Conclusion: The correct answer is option (d).