Abstract: The disclosed methods and systems provide a variety of 38 kilohertz signals suitable for use with various stereo decoding circuits. The methods relate to the generation of reference and related rectangular waves and the combination thereof to remove the third harmonic component from the resulting multi-level decoding signal. The disclosed decoding signal generator system structure includes an oscillator, a shift register and a single combiner. The oscillator provides an output signal which is a predetermined multiple of the stereo decoding signal. The shift register derives frequency divided and phase shifted signals from the output signal of the oscillator and the signal combiner to form the stereo decoding signal.