Method and system for reducing of peak-to-average power ratio of transmission signals comprising overlapping waveforms

A method for reducing the PAP of a signal comprising the steps of:

• (a) calculating a first PAP value of a combined signal comprising a linear combination of a plurality of vectors;
• (b) generating a phase vector comprising a sequence of phase components, each phase component corresponding to one of the plurality of vectors;
• (c) calculating a second PAP value of a combined signal comprising a linear combination of the plurality of vectors each multiplied by its corresponding phase component of the phase vector;
• (d) if the second PAP value is less than the first PAP value executing the steps of:
• (i) storing the phase vector in memory;
• (ii) setting the first PAP value equal to the second PAP value;
• (e) repeating steps b-d until a predetermined number of phase vectors have been considered.

A wireless transmission system with reduced PAP of transmitted signals comprising:

• (a) a wireless transmitter including:
• (i) a transponder device;
• (ii) memory;
• (iii) a processor adapted to:
• A. assign a phase factor from a set of possible phase factors to each of a plurality of vectors;
• B. calculate a first PAP value of a combined signal comprising a linear combination of each of the vectors multiplied by its assigned phase factor;
• C. for each of the plurality of vectors, assign a final phase factor to the vector, wherein the final phase factor is selected from the set of possible phase factors on the basis that it minimizes a PAP of a combined signal and wherein the processor in assigning a final phase factor to each vector is further adapted to
• a. store the phase factor assigned to the vector in a memory location;
• b. assign a phase factor from the set of possible phase factors to the vector;
• c. calculate a second PAP value of a combined signal composed of a linear combination of the plurality of vectors each multiplied by its assigned phase factor;
• d. if the second PAP value is lower than the first PAP value, set the first PAP value to be equal to the second PAP value;
• e. if the second PAP value is greater than the first PAP value, assign the phase factor stored in the memory location to the vector;
• f. repeat steps a-e until all phase factors from the set of possible phase factors have been considered and
• (b) a wireless receiver including:
• (i) a transponder;
• (ii) memory;
• (iii) a processor.

A wireless transmission system with reduced PAP of transmitted signals comprising:

• (a) a wireless transmitter including;
• (b) a transponder device;
• (c) memory;
• (d) a processor adapted to:
• (A) calculate a first PAP value of a combined signal comprising a linear combination of a plurality of vectors;
• (B) generate a phase vector comprising a sequence of phase components, each phase component corresponding to one of the plurality of vectors;
• (C) calculate a second PAP value of a combined signal comprising a linear combination of the plurality of vectors each multiplied by its corresponding phase component of the phase vector;
• (D) if the second PAP value is less than the first PAP value:
• (i) store the phase vector in memory;
• (ii) set the first PAP value equal to the second PAP value;
• (E) repeating steps B-D until a predetermined number of phase vectors have been considered;
• (c) a wireless receiver including:
• (i) a transponder;
• (ii) memory;
• (iii) a processor.

A wireless transmitter with reduced PAP of transmitted signals comprising:

• (i) a transponder device;
• (ii) memory;
• (iii) a processor adapted to:
• A. assign a phase factor from a set of possible phase factors to each of a plurality of vectors;
• B. calculate a first PAP value of a combined signal comprising a linear combination of each of the vectors multiplied by its assigned phase factor;
• C. for each of the plurality of vectors, assign a final phase factor to the vector, wherein the final phase factor is selected from the set of possible phase factors on the basis that it minimizes a PAP of a combined signal and wherein the processor in assigning a final phase factor to each vector is further adapted to
• a. store the phase factor assigned to the vector in a memory location;
• b. assign a phase factor from the set of possible phase factors to the vector;
• c. calculate a second PAP value of a combined signal composed of a linear combination of the plurality of vectors each multiplied by its assigned phase factor;
• d. if the second PAP value is lower than the first PAP value, set the first PAP value to be equal to the second PAP value;
• e. if the second PAP value is greater than the first PAP value, assign the phase factor stored in the memory location to the vector;
• f. repeat steps a-e until all phase factors from the set of possible phase factors have been considered.

A wireless transmitter with reduced PAP of transmitted signals comprising:

• (a) a wireless transmitter including;
• (b) a transponder device;
• (c) memory;
• (d) a processor adapted to:
• (A) calculate a first PAP value of a combined signal comprising a linear combination of a plurality of vectors;
• (B) generate a phase vector comprising a sequence of phase components, each phase component corresponding to one of the plurality of vectors;
• (C) calculate a second PAP value of a combined signal comprising a linear combination of the plurality of vectors each multiplied by its corresponding phase component of the phase vector;
• (D) if the second PAP value is less than the first PAP value:
• (i) store the phase vector in memory;
• (ii) set the first PAP value equal to the second PAP value;
• (E) repeating steps B-D until a predetermined number of phase vectors have been considered.