Device and method for improving the signal to noise ratio by means of complementary sequences
AssigneeVicente Diaz Fuente
InventorVicente Diaz Fuente
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Abstract
A device and method for improving the signal to noise ratio by means of complementary sequences, consisting of the use of M complementary sets of sequences, understanding complementary as the sums of their autocorrelations, resulting in a Krönecker delta, the M value coinciding with the number of complementary sets of sequences which are orthogonal to one another, understanding by orthogonal that the sum of the cross-correlations of the complementary sequences of each set is zero.
Claims6
A method of encoding a transmission signal to improve the signal to noise ratios comprising:
- separating the transmission signal into a first plurality of substantially orthogonal component signals, each of the first plurality of substantially orthogonal component signals having one of a plurality of phases;
- convoluting the first plurality of substantially orthogonal component signals by a convoluter with a selected set of complementary sequences to create a second plurality of substantially orthogonal signals, each of the second plurality of substantially orthogonal signals having a phase corresponding to one of the plurality of phases;
- and
- summing each of the second plurality of substantially orthogonal signals having the same phase by an adder, to create a third plurality of substantially orthogonal signals.
A method of transmitting a transmission signal, comprising:
- encoding the transmission signal, wherein said encoding includes:
- separating the transmission signal into a first plurality of substantially orthogonal component signals;
- each of the first plurality of substantially orthogonal component signals having one of a plurality of phases;
- convoluting the first plurality of substantially orthogonal component signals by a convolutor with a selected set of complementary sequences to create a second plurality of substantially orthogonal signals, each of the second plurality of substantially orthogonal signals having a phase corresponding to one of the plurality of phases;
- and
- summing each of the second plurality of substantially orthogonal signals having the same phase by an adder, to create a third plurality of substantially orthogonal signals;
- modulating the third plurality of signals into a single output;
- transmitting said single output over a network;
- receiving said single output;
- demodulating said single output into a fourth plurality of substantially orthogonal signals, said fourth plurality being of the same number as the first plurality and having phases corresponding to the phases of the first plurality;
- and
- decoding said fourth plurality, Wherein said decoding includes;
- separating each signal of said fourth plurality into a number of component signals, wherein, the number of component signals corresponds to the number of said complementary signals;
- and
- convoluting each of said component signals with an inverse of said selected set of complementary sequences to form a fifth plurality of signals and summing each signal of the fifth plurality of signals having the same phase to create a sixth plurality of signals.
An apparatus for encoding a transmission signal to improve the signal to noise ratio, comprising:
- a modulator for separating the transmission signal into a first plurality of substantially orthogonal component signals, each of the first plurality of substantially orthogonal component signals having one of a plurality of phases;
- a convolute for convoluting the first plurality of substantially orthogonal component signals with a selected set of complementary sequences to create a second plurality of substantially orthogonal signals, each of the second plurality of substantially orthogonal signals having a phase corresponding to one of the plurality of phases;
- and
- an adder for summing each of the second plurality of substantially orthogonal signals having the same phase, to create a third plurality of substantially orthogonal signals.
Dependencies are inferred from the claim text.