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AD1953YSTZ
P1-P3
P4-P6
P7-P9
P10-P12
P13-P15
P16-P18
P19-P21
P22-P24
P25-P27
P28-P30
P31-P33
P34-P35
AD1953
–33–
APPENDIX
Cookbook Formulae for Audio EQ Biquad Coefficients
(adapted from Robert Bristow-Johnson’s Internet posting)
For designing a Parametric EQ, follow the steps below.
1. Given:
Frequency
Q
dB_Gain
sample_rate
2. Compute Intermediate Variables
A = 10^(dB_Gain/40)
omega = 2
×
π
×
Frequency/Sample_Rate
sn = sin(omega)
cs = cos(omega)
alpha = sn/(2
×
Q)
3. Compute Coefficients
b0 = (1 + A
×
alpha)/(1 + (alpha/A))
b1 = –2
×
cs/(1 + (alpha/A))
b2 = (1 – (alpha/A))/(1 + (alpha/A))
a1 = 2
×
cs/(1 + (alpha/A)) = –b1
a2 = –(1 – (alpha/A))/(1 + (alpha/A))
4. The transfer function implemented by the AD1953 is given by:
H(Z) = (b0 + b1
×
Z
–1
+ b2
×
Z
–2
)/(1 – a1
×
Z
–1
– a2
×
Z
–2
)
Note the inversion in sign of a1 and a2 relative to the more standard form. This form is used in this document because the AD19
53
implements the difference equation using the formula below.
Y(n) = a1
×
y(n – 1) + a2
×
y(n – 2) + b0
×
x(n) + b1
×
x(n – 1) + b2
×
x(n – 2)
REV. A
AD1953
Rev. A | Page 34
OUTLINE DIMENSIONS
COM
PLI
ANT TO J
EDEC STANDARDS MS-
026-BBC
TO
P VIEW
(PIN
S D
OWN
)
1
12
13
25
24
36
37
48
0.27
0.22
0.17
0.50
BSC
LE
AD PIT
CH
1.60
MAX
0.75
0.60
0.45
VIEW A
PIN 1
0.20
0.09
1.45
1.40
1.35
0.08
COP
LANARI
T
Y
VIEW A
ROTA
T
ED 90°
CCW
SE
ATING
PLANE
7°
3.5
°
0°
0.15
0.05
9.20
9.00 S
Q
8.80
7.20
7.00 SQ
6.80
051706-
A
Figure 25. 48-Lead Low Profil
e Quad Flat Package [LQFP]
(ST-48)
Dimensions show
n in millimeters
ORDERING GUIDE
Model
1
T
emperature Range
Package Description
Package Option
AD1953YSTZ
–40°C to +105°C
48-L
ead L
QFP
ST
-48
AD1953YSTZRL
–40°C to +105°C
48-Lead L
QFP
ST
-48 on 13" Reel
1
Z = RoHS Comp
liant Part.
©2003–2014 Analog Devices, Inc. All rights reserve
d. Trademarks and
registered tra
demarks are the prop
erty of their respective owners.
D02909-0-12/14(A)
P1-P3
P4-P6
P7-P9
P10-P12
P13-P15
P16-P18
P19-P21
P22-P24
P25-P27
P28-P30
P31-P33
P34-P35
AD1953YSTZ
Mfr. #:
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Audio DSPs IC Digital Audio Processo
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