A photodiode signal

PHYSICS · Subjective · Fermi University Physics · Electronics, Instrumentation & Communication · Signals, systems, control and digital signal processing · Signals, systems, control and digital signal processing

Electronics for Measurement, Ch Linear systems, the impulse response and convolution

Problem

A photodiode signal, after conversion by a transimpedance stage, is modelled as a rectangular voltage pulse

v_{in}(t) = 3\,\mathrm{V}

for

0 \le t \le 2\,\mathrm{\mu s}

and zero otherwise. This pulse drives an RC low-pass filter with

RC = 1\,\mathrm{\mu s}

, whose impulse response is

h(t) = (1/RC)e^{-t/RC}

for

t \ge 0

and zero for

t < 0

. The filter is at rest before

t=0

. Using the convolution integral, calculate the output voltage

v_{out}(t)

t = 1\,\mathrm{\mu s}

2\,\mathrm{\mu s}

and

4\,\mathrm{\mu s}

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