In FIR filter design, which of the following windows gives least peak side lobe level assuming equal width of the windows?

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VSSC ISRO Technical Assistant Electronics 14 July 2021 Official Paper
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  1. Rectangular
  2. Barlett
  3. Hamming
  4. Hanning

Answer (Detailed Solution Below)

Option 1 : Rectangular
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FIR Filters:
In signal processing, a finite impulse response (FIR) filter is a filter whose impulse response (or response to any finite length input) is of finite duration because it settles to zero in finite time.

This is in contrast to infinite impulse response (IIR) filters, which may have internal feedback and may continue to respond indefinitely (usually decaying).
The impulse response of an Nth-order discrete-time FIR filter (i.e., with a Kronecker delta impulse input) lasts for N + 1 samples and then settles to zero.
FIR filters can be discrete-time or continuous-time, and digital or analog.

Summary of Windows Design in case of FIR filters:

Window’s name Main-lobe Side-lobe Peak 20log196
Rectangular 4 π / M -13dB -21 dB
Hanning 8π /M -32dB -44 dB
Hamming 80π /M -43dB -53 dB
Blackman 121π/M - 58dB -74 dB
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