Bessel Coefficients


As can be seen this modulation results in
1) An infinite number of sidebands centered around the carrier 2πfc and spaced at intervals of 2πfm where fm is the modulation frequency)
2) The amplitudes of the modulated carrier and the corresponding sidebands are given by Ac*J(β)


Figure 2 – Frequency Domain Representation of a Sinusoid Modulated Periodic Signal

This is illustrated in the example below

Let fc = 10MHz, fm = 32KHz, (Δf) = 75KHz
β = (75/32) = 2.34
The amplitudes of the carrier frequency and the sidebands introduced by the modulation are shown below.
As can be seen, the carrier energy component is reduced to 3% of its original value

This redistribution of the energy will also carry through to all harmonics of the carrier frequency.
This method has proven to be very effective and in fact was pioneered by the LFC team. However it does have its limitations, which are revisited below.

Limitations: Not easy to use, requires architectural change, cannot be used in timing-sensitive applications demanding functional compliance and “logo Certification” like USB, HDMI and others.
It is these limitations that have been the driving force behind LFC’s new innovative SAϕIC™ technology. SAϕIC™ technology, is based on proprietary Phase Modulation techniques and addresses the numerous limitations of 1st-Gen technology.