Methods and systems for communicating
Systems, methods and devices for communicating comprise one or more of a computer-readable media, a computer, a satellite communication device and a mobile device, wherein the at least one of a computer-readable media, a computer, a satellite communication device and a mobile device to perform at least one of supplying data as input communication symbols to an encoder, which converts the input communication symbols into transmittable waveforms having a head function and a tail function, which are different. A transmitter transmits transmittable waveforms over a communication channel, which is received by a receiver, then demodulated and output communication symbols carrying the data to at least one of a user, a secondary computer-readable media, a secondary computer, a secondary satellite communication device and a secondary mobile device.
1. A method for communicating comprising:
obtaining, by an encoder, input communication symbols selected from a set of communication symbols;
converting, by the encoder, the input communication symbols into transmittable waveforms that conform to a general spiral formula having independent cosine and sine components supporting two-component transmission; and
transmitting, by a transmitter, the cosine and sine components over a communication channel as two independent components.
2. The method for communicating of claim 1 , wherein the transmittable waveform includes at least one of a head function and a tail function that differs from the transmittable waveforms by at least one of an amplitude, a phase, a frequency, a time direction, a time shift, a rotational direction, and a growth.
3. The method for communicating of claim 1 , wherein the general spiral formula has a form of equation
f
m
(
t
)
=
[
κ
0
e
i
ω
0
]
e
[
κ
1
e
i
ω
1
]
(
t
+
t
0
)
i
[
κ
2
e
i
ω
2
]
(
2
2
-
m
)
,
wherein
k 0 is a first level amplitude coefficient,
ω 0 is a first level frequency constant,
i is an imaginary constant square root of minus one,
k 1 is a second level amplitude coefficient,
ω 1 is a second level frequency constant,
t is a time parameter,
t 0 is an initial time,
k 2 is a third level amplitude coefficient,
ω 2 is a third level frequency constant, and
m is a waveform shape term.
4. The method for communicating of claim 1 , wherein the cosine and sine components are transmitted using intra-symbol time multiplexing.
5. The method for communicating of claim 1 , wherein of the transmittable waveforms is generated and transmitted over the communication channel using at least one of a computer, a satellite communication device and a mobile device.
6. The method for communicating of claim 1 , further comprising:
receiving the transmittable waveforms by at least one of a user, a computer-readable media, a computer, a satellite communication device and a mobile device;
demodulating the transmittable waveforms to yield output communication signals; and
communicating the output communication signals to at least one of a user and an electronic device.
7. The method for communicating of claim 1 , wherein the transmittable waveforms have a crest factor not equal to the square root of two.
8. The method for communicating of claim 1 , wherein the transmittable waveforms have an adjustable crest factor.
9. The method for communicating of claim 1 , wherein at least the transmittable waveforms include rotational reversal.
10. The method of claim 1 , where the two separate components of the waveform are cosine and sine components having a common amplitude and phase.
11. The method of claim 1 , where general spiral equation supports at least one of time reversal and rotational reversal.
12. A method for communicating comprising:
receiving, by a receiver, transmittable waveforms transmitted over a communication channel;
demodulating, by a demodulator, the transmittable waveforms to yield output communication symbols; and
communicating the output communication signals to at least one of a user and an electronic device,
wherein the at least one transmittable waveforms conform to a general spiral formula having cosine and sine components supporting transmission as two independent components.
13. The method of claim 12 , where the two separate components of the waveform are cosine and sine components having a common amplitude and phase.
14. A system for communicating, comprising
at least one of a computer-readable media, a computer, a satellite communication device and a mobile device, wherein the at least one of a computer-readable media, a computer, a satellite communication device and a mobile device to perform at least one of:
supply input communication symbols;
obtain, by an encoder, the input communication symbols;
convert, by the encoder, the input communication symbols into the transmittable waveforms that conform to a general spiral formula having independent cosine and sine components supporting two-component transmission;
transmit, by a transmitter, the transmittable waveforms over a communication channel as two independent components;
receive, by a receiver, the transmittable waveforms from the communication channel;
demodulate, by a demodulator, the transmittable waveforms to yield output communication symbols; and
communicate output communication symbols to at least one of a user, a secondary computer-readable media, a secondary computer, a secondary satellite communication device and a secondary mobile device.
15. The system of claim 14 , further comprising filtering the received transmittable waveforms.
16. The system of claim 14 , where the two separate components of the waveform are cosine and sine components having a common amplitude and phase.