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Thanks for doing this.
I'll forego the process for now, but most of these transformers work better in the range of.........oh.....say 150-300 ohms. Some higher........some lower.No.............. then the primary inductance gets become significant and your waveformdrops the low frequency end. The transformer should show good matching from about 50kHz to 35 MHz. Leakage inductance generally increases with primary inductance. It is easier to find and/or design a good pulse transformer for 50 ohms than 150 ohms.The discontinuity from RCA plugs looks more like a lumped sum (capacitor) than an transmission line impedance mismatch and can be fixed pretty well with a zoble network (about 8 turns of wire round a 1/4 watt 75 resistor) in series right at the RCA jack or plug. Transformer leakage inductance best fixed with a series RCs right across the transformer windings. Looking at reflections at the source of 20 foot 75 ohm cable allows you to perform a good TDR with a 100MHz or greater scope. I like test with a single with the same spectral content as what the circuit will be used with. Even one BNC to RCA adaptor will screw up the sound of a SPDIF digital interface. Stay BNC or Zoble compensated RCA for the whole interface. Cable with BNC at one end and RCA at the other are compromised since most digital cable sound better in one direction than the other.