Bandwidth calculations, Noise, Sa5211 – Philips SA5211 User Manual

Page 14: Philips semiconductors

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Philips Semiconductors

SA5211

Transimpedance amplifier (180 MHz)

Product specification

Rev. 03 — 07 October 1998

14 of 28

9397 750 07427

© Philips Electronics N.V. 2001. All rights reserved.

Q

11

– Q

12

which are biased by constant current sources. The collectors of Q

11

– Q

12

are bonded to an external pin, V

CC2

, in order to reduce the feedback to the input

stage. The output impedance is about 17

single-ended. For ease of performance

evaluation, a 33

resistor is used in series with each output to match to a 50

test

system.

12. Bandwidth calculations

The input stage, shown in

Figure 13

, employs shunt-series feedback to stabilize the

current gain of the amplifier. A simplified analysis can determine the performance of
the amplifier. The equivalent input capacitance, C

IN

, in parallel with the source, I

S

, is

approximately 4 pF (typical), assuming that C

S

= 0 where C

S

is the external source

capacitance.

Since the input is driven by a current source the input must have a low input
resistance. The input resistance, R

IN

, is the ratio of the incremental input voltage, V

IN

,

to the corresponding input current, I

IN

and can be calculated as:

(2)

Thus C

IN

and R

IN

will form the dominant pole of the entire amplifier;

(3)

Assuming typical values for R

F

= 14.4 k

, R

IN

= 200

, C

IN

= 4 pF

(4)

The operating point of Q1,

Figure 12

, has been optimized for the lowest current noise

without introducing a second dominant pole in the pass-band. All poles associated
with subsequent stages have been kept at sufficiently high enough frequencies to
yield an overall single pole response. Although wider bandwidths have been achieved
by using a cascade input stage configuration, the present solution has the advantage
of a very uniform, highly desensitized frequency response because the Miller effect
dominates over the external photodiode and stray capacitances. For example,
assuming a source capacitance of 1 pF, input stage voltage gain of 70, R

IN

= 60

then the total input capacitance, C

IN

= (1 + 4) pF which will lead to only a 20%

bandwidth reduction.

13. Noise

Most of the currently installed fiber-optic systems use non-coherent transmission and
detect incident optical power. Therefore, receiver noise performance becomes very
important. The input stage achieves a low input referred noise current (spectral
density) of 1.8 pA/

Hz (typical). The transresistance configuration assures that the

external high value bias resistors often required for photodiode biasing will not
contribute to the total noise system noise. The equivalent input

RMS

noise current is

R

IN

V

IN

I

IN

---------

R

F

1

A

VOL

+

-----------------------

14.4 k

71

--------------------

203

=

=

=

=

f

3db

1

2

π

R

IN

C

IN

--------------------------

=

f

3db

1

2

π

4 pF 200

---------------------------------------

200 MHz

=

=

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