Carrier wave frequency multiplication of AM signals

Until now carrier wave frequency multiplication has been applied in CW, PM and FM techniques. However, it has never been considered as applicable to AM signals. This is due to unsupported opinions that it would distort the envelope of AM signals. Theoretical considerations were carried out with the use of the double Fourier series expansion. The results have shown that it is enough to have an uninterrupted flow of the envelope through the amplifier to have a nondistorted envelope in both amplification and frequency multiplication. The results were verified experimentally and by observations of BC and TV stations at their harmonic frequencies. The conclusion has been made on AM signals having two or more frequency fringes, e.g.: single tone DSB, two tone SSB