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10Gbps Optical Receiver and VCSEL Driver in 0.13um CMOS ...

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Noise Current,<br />

i rms<br />

n,TIA<br />

(f), is determ<strong>in</strong>ed by <strong>in</strong>tegrat<strong>in</strong>g the output-referred<br />

noise spectrum up at least 2 x BW 3-dB <strong>and</strong> divid<strong>in</strong>g it by the passb<strong>and</strong><br />

transimpedance value. Written <strong>in</strong> the squared form, we have:<br />

i<br />

2<br />

n , TIA<br />

1 2<br />

2<br />

= ZT<br />

( f ) ⋅ In,<br />

TIA(<br />

f ) df<br />

2 ∫ (2.4)<br />

Z<br />

T<br />

where |Z T (f)| is the frequency response of the transimpedance. The total<br />

<strong>in</strong>put-referred noise current directly determ<strong>in</strong>es the sensitivity of the<br />

TIA:<br />

pp<br />

rms<br />

i<br />

S<br />

2Q<br />

⋅ In,<br />

TIA<br />

= (2.5)<br />

where Q is the quality factor for desired bit error rates (BERs). The<br />

Averaged Input-Referred Noise Current Density is def<strong>in</strong>ed as the <strong>in</strong>put-<br />

rms<br />

referred rms noise current, , divided by the square-root of the 3-<br />

dB b<strong>and</strong>width. Aga<strong>in</strong>, it is important that the averag<strong>in</strong>g is carried out<br />

over the output-referred noise spectrum rather than the <strong>in</strong>put-referred<br />

noise spectrum, .<br />

I 2 n,<br />

TIA<br />

i<br />

n , TIA<br />

2.1.2.2 TIA Topologies<br />

Generally there are two types of TIA topologies, open loop TIAs<br />

12

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