Question

Which of the following windows has a time domain sequence h(n)=\(\frac{1}{2}(1-cos⁡\frac{2πn}{M-1})\)?

(a) Bartlett window

(b) Blackman window

(c) Hamming window

(d) Hanning window

The question was asked during a job interview.

Origin of the question is Design of Linear Phase FIR Filters Using Windows in section Digital Filters Design of Digital Signal Processing

Answer 1

The correct choice is (d) Hanning window

Easy explanation: The Hanning window has a time domain sequence as

h(n)=\(\frac{1}{2}(1-cos⁡\frac{2πn}{M-1})\), 0≤n≤M-1