Design of FIR Filters: Windowing Technique, Cheat Sheet of Electrical Engineering

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Dr. RP Singh

School of Electrical & Computer Engineering

Haramaya Institute of Technology

LTI Systems

h(n)

FIR IIR

With rational transfer

function

( )

( )

( )

Q z

P z

H z =

No rational transfer

function

( )

( )

( )

Q z

P z

H z 

Determine

coefficients of

h(n) [or P(z)

and Q(z) ]

 Design Stages

1. Specifications → **Application dependent

2. Design** h(n) → Determine coefficients of h(n)
3. Realization → Direct form I,II, cascade and parallel
4. Implementation → Programming in Matlab/C, DSP,

ASIC,…

 Design of FIR filters

◦ Windowing

Multiply by a

rectangular window

• It can be shown that if we have a linear-phase ideal filter and we

multiply it by a symmetric window function, we end up with a linear-

phase FIR filter.