1.1. The signal to noise ratio of a pin-photodiode is given by: 𝑆𝑁𝑅=𝐼𝑝22&#119890

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1.1. The signal to noise ratio of a pin-photodiode is given
by:
𝑆𝑁𝑅=𝐼𝑝22𝑒𝐵(𝐼𝑝+𝐼𝑑)+4𝑘𝑇𝐵𝑅+𝐵𝑖𝑎2̅
A NRZ pulse modulated signal with a bit rate, BT of 150 MB/s is
transmitted over 50 km long single mode fibre link. To ensure the
required bit-error-rate for the system, the signal-to noise ratio
at the receiver must be 26 dB. The receiver is a transimpedance
amplifier with an open loop gain of 200. The average amplifier
noise current is 2.2 pA/(Hz)1/2, the amplifier input resistance is
10 kohm and the feedback resistor is 10 kohm. The photodiode has a
junction capacitance of 7 pF.
1.1.1. Calculate the minimum photocurrent for the diode to maintain
the required SNR. (12)
1.1.2. Determine if the maximum bandwidth for the receiver and
amplifier is larger than the required bandwidth. (5)
1.1.3. Find the shot noise limited current for the detector.
(3)
Total