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Definitions, Transfer functions, Layout, grounding, and bypassing – Rainbow Electronics MAX11645 User Manual

Page 19: Integral nonlinearity, Differential nonlinearity, Aperture jitter, Aperture delay

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MAX11644/MAX11645

Low-Power, 1-/2-Channel, I

2

C, 12-Bit ADCs

in Ultra-Tiny 1.9mm x 2.2mm Package

______________________________________________________________________________________

19

Transfer Functions

Output data coding for the MAX11644/MAX11645 is
binary in unipolar mode and two’s complement in bipo-
lar mode with 1 LSB = (V

REF

/2

N

) where N is the number

of bits (12). Code transitions occur halfway between
successive-integer LSB values. Figures 12 and 13
show the input/output (I/O) transfer functions for unipo-
lar and bipolar operations, respectively.

Layout, Grounding, and Bypassing

Only use PCBs. Wire-wrap configurations are not rec-
ommended since the layout should ensure proper sep-
aration of analog and digital traces. Do not run analog
and digital lines parallel to each other, and do not lay-
out digital signal paths underneath the ADC package.
Use separate analog and digital PCB ground sections
with only one star point (Figure 14) connecting the two
ground systems (analog and digital). For lowest noise
operation, ensure the ground return to the star ground’s
power supply is low impedance and as short as possi-
ble. Route digital signals far away from sensitive analog
and reference inputs.

High-frequency noise in the power supply (V

DD

) could

influence the proper operation of the ADC’s fast compara-
tor. Bypass V

DD

to the star ground with a network of two

parallel capacitors, 0.1μF and 4.7μF, located as close as
possible to the MAX11644/MAX11645 power-supply pin.

Minimize capacitor lead length for best supply noise
rejection, and add an attenuation resistor (5

Ω) in series

with the power supply if it is extremely noisy.

Definitions

Integral Nonlinearity

Integral nonlinearity (INL) is the deviation of the values
on an actual transfer function from a straight line. This
straight line can be either a best straight-line fit or a line
drawn between the endpoints of the transfer function,
once offset and gain errors have been nullified. The
MAX11644/MAX11645’s INL is measured using the
endpoint.

Differential Nonlinearity

Differential nonlinearity (DNL) is the difference between
an actual step width and the ideal value of 1 LSB. A
DNL error specification of less than 1 LSB guarantees
no missing codes and a monotonic transfer function.

Aperture Jitter

Aperture jitter (t

AJ

) is the sample-to-sample variation in

the time between the samples.

Aperture Delay

Aperture delay (t

AD

) is the time between the falling

edge of the sampling clock and the instant when an
actual sample is taken.

MAX11644
MAX11645

OUTPUT CODE

FULL-SCALE

TRANSITION

11 . . . 111

11 . . . 110

11 . . . 101

00 . . . 011

00 . . . 010

00 . . . 001

00 . . . 000

1

2

3

0

FS

FS - 3/2 LSB

FS = V

REF

ZS = GND

INPUT VOLTAGE (LSB)

1 LSB =

V

REF

4096

Figure 12. Unipolar Transfer Function

011 . . . 111

011 . . . 110

000 . . . 010

000 . . . 001

000 . . . 000

111 . . . 111

111 . . . 110

111 . . . 101

100 . . . 001

100 . . . 000

- FS

0

INPUT VOLTAGE (LSB)

OUTPUT CODE

ZS = 0

+FS - 1 LSB

FS

=

V

REF

2

-FS =

-V

REF

2

MAX11644
MAX11645

1 LSB =

V

REF

4096

Figure 13. Bipolar Transfer Function