#### Disclosure

SASER SAS24P3L software synthesizer uses granular synthesis, splitting FM signal on the components, which have three parameters: phase, frequency and amplitude. Such approach in granular synthesis of FM carried out using continuous playback of these components back and forth. Positive and negative components of FM signal can coincide when the transmitter frequency dial is at 22,05 kHz. You should avoid this frequency to make the task of transmitter frequency detection harder. The derived function values work for all three levels of SASER SAS24P3L software. These levels are signal generation in real-time, granular synthesis and discretization. Received signal must comply periodical criteria for it to be synthesized with SASER SAS24P3L software.

The model with modulation index of 11 has 12 component harmonics for positive part and 12 component harmonics for negative part. These harmonics sums up to 24 components, which has the derived values. The derived values of the 5^{th} harmonic and higher, starting from the center frequency, fall into the same phase value simplifying the calculations. For SASER SAS24P3L software there is no meaning to work with modulation indexes higher than 11. The derived function has the hyperbola graphic also, but in a contrast with primitive function approximates curve values. The derived function suits for faster calculations and solves synchronization problems with discretization frequency of audio equipment of your device.

SASER SAS24P3L software is a hyperbolic system, working in the VLF band. The hyperbola graph can contract and expand in accordance with the transmitter frequency value.

SASER SAS24P3L software serves for connection line detection. This problem is important when a signal transmitted on the large distances. If two stations, equipped with SASER SAS24P3L software, will be connected there will be no aliasing effect due to cascade of two 8^{th} order Butterworth filters, which process the output signal in real-time and do not allow to spread the signal beyond the pass band of a channel, which equals ¾ of modulation frequency. Radio wave of this connection line will propagate on the large distances. The connection line has one receiving frequency of the signal, which modulated using the signal constellation. 4096-CPFSK modulator, applied to the frequency of receiver, serves as a phase spinning of radio reception in physical space. The parameters of spinning counted by Euler angles.

SASER SAS24P3L software applied for mathematical approximation in physical space. The resulting, drawn on the 3D display of SASER SAS24P3L software has the structure of radio particles, passing through a pipe of waveguide and collapsible into the final image. These figures created in a presence of the signal constellations. These figures are not 2D, but a 3D images, which shows the topology of VLF network on this channel.