because the superregenerative detectors tend to receive the strongest signal and ignore other signals in the nearby spectrum, the superregen works best with bands that are relatively free of interfering signals. due to nyquist's theorem, its quenching frequency must be at least twice the signal bandwidth. but quenching with overtones acts further as a heterodyne receiver mixing additional unneeded signals from those bands into the working frequency. thus the overall bandwidth of superregenerator cannot be less than 4 times that of the quench frequency, assuming the quenching oscillator produces an ideal sine wave.