7.1 Wave analyzer
A wave analyzer is essentially a tunable narrowband voltmeter. It mixes the input down to an intermediate frequency, passes it through a narrow filter, and displays the magnitude. By tuning the local oscillator, you measure the amplitude at one frequency at a time. Used historically for harmonic analysis (set the analyzer to and read each harmonic's level).
Largely supplanted by spectrum analyzers and FFT software, but the architecture (mixer + filter) is identical to a swept-tuned spectrum analyzer.
7.2 Harmonic distortion analyzer (THD)
Total Harmonic Distortion is defined as: where is the fundamental and are the harmonics. A harmonic distortion analyzer has a notch filter tuned to the fundamental. The total RMS of the input is measured first; then the fundamental is notched out and the residual RMS is measured. The ratio gives THD+N (THD plus noise), which is what most published audio specs report.
For audio amps, a THD of 0.01% is excellent; for switching power supplies, line current THD might be 30%. The number tells you a lot about how clean a circuit is and how much it deviates from a pure sinusoidal response.