WHY FIR FILTERS ARE GENERALLY PREFERRED OVER IIR? IMPLEMENTATION IN DSP KIT TMS320c6713 and studying the performance with respect to order and type of windows.

1. BI-HISTOGRAM EQUALIZATION with a plate
limit
FOR DIGITAL IMAGES.
MAHESH MOHAN.M.R
GECT S1 ECE
ROLL NO: 7
GUIDE : Dr.V.S.SHEEBA
OM NAMA
SIVAYA
MAHESH MOHAN.M.R
GECT S1 ECE
ROLL NO: 7
FIR FILTER ANALYSIS.

2. FIR filter vs iir filter
FIR filters have linear-phase characteristics, whereas IIR
filters have non-linear phase characteristics.
FIR filters are of non-recursive type,whereas IIR filters are of
recursive type.Therefore FIR filters are always stable whereas
IIR filters are unstable.
FIR filters need more computation units
compared to an IIR filter with
similar response.
FIR FILTERS ARE GENERALLY PREFERRED OVER IIR!
FIR
IIR

3. Parameters analysed for fir filters
DIFFERENT WINDOWS.
ORDER OF FILTER.
DIRECT FORM AND CASCADE IMPLEMENTATION IN
RELEVANCE TO FINITE WORD LENGTH EFFECT.

4. W
I
N
D
O
W
I
N
G
IDFT
DFT
H(𝑒 𝑗𝜔
)
W(𝑒 𝑗𝜔
)
H(𝑒 𝑗𝜔
) conv W(𝑒 𝑗𝜔
)
h(n)
h(n) * w(n)
w(n)

5. W
I
N
D
O
W
I
N
G
ORIGINAL RESPONSE
WINDOWED RESPONSE H(𝑒 𝑗𝜔
) conv W(𝑒 𝑗𝜔
)
H(𝑒 𝑗𝜔)
Transition
band
RIPPLES

6. W
I
N
D
O
W
I
N
G ORIGINAL RESPONSE
WINDOWED RESPONSE H(𝑒 𝑗𝜔
) conv W(𝑒 𝑗𝜔
)
H(𝑒 𝑗𝜔)
RIPPLES
WHY?
.

7. W
I
N
D
O
W
I
N
G
ORIGINAL RESPONSE
WINDOWED RESPONSE H(𝑒 𝑗𝜔
) conv W(𝑒 𝑗𝜔
)
H(𝑒 𝑗𝜔)
Transition
band
WHY?
.

8. Rectangular window
Barlett window
Kaiser window (β=20)
Hamming window
W
I
N
D
O
W
S
N=100
FREQUENCY
RESPONSE
Rectangular window
Barlett window
Hamming window
Kaiser window (β=20)

9. O
R
D
E
R
KAISER
WINDOW
FREQUENCY
RESPONSE
Order=11
Order=41Order=41
Order=101
Order=11
Order=101

10. QUANTIZATION.
TRUNCATION ROUNDING
QUANTIZATIONL bit + 1 sign bit
2L bit + 1 sign bit L bit + 1 sign bit
e(n)

11. FINITE WORD LENTH EFFECT
DIRECT FORM IMPLEMENTATION
CASCADE FORM IMPLEMENTATION
e(n)
e(n)

12. NAMASIVAYA

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