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EXPERT SYSTEMS AND SOLUTIONS
Email: [email protected]@yahoo.comCell: 9952749533
www.researchprojects.info PAIYANOOR, OMR, CHENNAI
Call For Research Projects Final year students of B.E in EEE, ECE, EI, M.E (Power Systems), M.E (Applied
Electronics), M.E (Power Electronics)Ph.D Electrical and Electronics.
Students can assemble their hardware in our Research labs. Experts will be guiding the
projects.
Digital Filters
PAGE 3
Today
• FIR repetition• Frequency-sampling structures• Cascade form realization• Parallel form realization• Lattice/ladder structure
PAGE 4
FIR filters
PAGE 5
Frequency-sampling structures
-1 -0.5 0 0.5 1
-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1
4
Real Part
Imag
inar
y P
art
= 0, M=4
PAGE 6
The poles
-1 -0.5 0 0.5 1-1
-0.5
0
0.5
1
Real Part
Imag
inar
y P
art
i = 0
-1 -0.5 0 0.5 1-1
-0.5
0
0.5
1
Real Part
Imag
inar
y P
art
i = 1
-1 -0.5 0 0.5 1-1
-0.5
0
0.5
1
Real Part
Imag
inar
y P
art
i = 2
-1 -0.5 0 0.5 1-1
-0.5
0
0.5
1
Real Part
Imag
inar
y P
art
i = 3
PAGE 7
-1 -0.5 0 0.5 1
-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1
4
Real Part
Imag
inar
y P
art
= 0.5
= 0.5, M=4
PAGE 8
Direct form I realization
PAGE 9
Direct form II
PAGE 10
Transposed structures
PAGE 11
Transposed structures (2)
PAGE 12
Cascade-form structure
PAGE 13
Single stage lattice filter
PAGE 14
Two stage lattice FIR filter
PAGE 15
(M-1)-stage lattice FIR filter
PAGE 16
Lattice structure for an all-pole IIR system
PAGE 17
Lattice-ladder structure
PAGE 18
Summary
• FIR and IIR filters• Direct-form realization of FIR filter• Cascaded structure• Frequency sampling structure• Lattice structure
