Look at this circuit - it amplifies 1mV (50us) pulse superimposed on 5V DC. It will do with "any DC" voltage ("DC" is "filtered out" by R1C1 time constant). Amplification of the diff amplifier set to 100x.
An example only, you have to modify it according to your reqs.
You mean this circuit just amplifies the 1mV and not the carrying 5DC?
Yes - see the simulation above..
The circuit amplifies only changes which are "faster" than t=R1C1 time constant. The "DC" is slower than R1C1.
When the "background signal" is "slower" than "a pulse superimposed on the background signal" it will amplify the superimposed pulse only.
"Slower" means its "fastest changes periods" are longer than t=R1C1 (or better N*R1C1)..
Or something like that
PS: see below:
yellow signal: a 20mV 50us long pulses (with 50ms period) superimposed on a
1Vpp 2Vpp 0.2Hz sine wave, while the sine wave is offset at 3V DC
green signal: the pulses amplified 100x with above circuit.
Mind there is the DC coupling..