Hi, I'm a noob.
Want to build front end for FM Rx all processing will be DSP but I need my incoming RF to be of sufficient amplitude. There are schematics online of course but I want to LEARN by designing it myself.
I've built my circuit and just does not appear to work... and don't know why.

These are the values I calculated and why. This is all data I gained from google so please if incorrect help me out.

long explanation cause I want to show I am doing the research

So I'm trying to design a C.B amplifier using 2n3904 transistor, rated at 200MHz. I decided on C.B because of low input impedance, my antenna is 50 ohm.

Ie = 0.5mA, that should give me input impedance of 50ohm.
5V power supply, Vcolector should be 2.5V, @ 0.5mA Rc = 5K ohm
the remaining voltage (2.5V) should be 1/4 across Re and the remaining 3/4 across CE..
1/4 of 2.5V = 625 mV, @ 0.5mA = 1K2 ohm is the value for Re.
Need my base 0.7V higher, so 1.325V
I make a voltage divider , I decided on 5mA for the divider, i.e 10 times Ie. so my resistors are 1.325 / 5mA = R2 = 270 ohm
(5 - 1.325)/ 5mA = R1 = 680 ohm.

I have 100nF cap from base to gnd, and 10pF caps for input and output.
I'm expecting my gain to be 5k / 50 = 100

the calculated DC bias corresponds with what I'm getting with my multimeter.

but with an oscilloscope on the output (collector cap) and signal generator set to 50 ohm 70MHz, 100uV peak to peak, if my circuit were even giving me 50 gain I should see a sine wave 5mV peak to peak ?

however I get nothing at all, in fact if I disconnect the power supply from my circuit the waveform doesn't change at all it's just a noisy flat-line...

please of you spot my error help me out, or if you need me to perform some test etc....

cheers
Ryan

for anyone interested this seems to be doing what I want. now i'll do the next stage of processing to confirm that what I see on the oscilloscope is in fact an fm station and not just noise from my circuit....