your output will have sum AND difference frequencies in it, so, assuming you used 3184khz as the local oscillator, you will have equal amounts of 10khz (the difference) and 6358khz (the sum). so the next part of this answer is the fact that a SBL-1 uses diodes as a kind of commutating switch. this will also generate some sharp transitions in the waveform. the local oscillator signal level needs to be above a certain threshold to make sure the diodes in the mixer go into full conduction