Patent ID: 8320478

Claim:
A method of generating a signal with a random low peak to average power ratio waveform for an orthogonal frequency division multiplexing system, the method comprising: obtaining a complex vector, wherein an inverse fast Fourier transform result of the complex vector has a low peak to average power ratio real waveform; processing the complex vector to generate a processed complex vector, wherein processing the complex vector includes one of cyclically shifting the complex vector a random amount and multiplying the complex vector by an exponential function of a product of a random imaginary number and angular frequency; dividing the complex vector into a first vector section and a second vector section; cyclically shifting the first vector section an amount in a direction using a linear feedback shift register to generate the cyclically shifted first vector section; cyclically shift the second vector section in an opposite direction by a same amount to generate the cyclically shifted second vector section; wherein the complex vector includes a plurality of elements, each of the first and second vector sections including half of the elements of the complex vector, the second vector section being a conjugate mirror of the first vector section, and the cyclically shifted second vector section being a conjugate mirror of the cyclically shifted first vector section; and performing an inverse fast Fourier transform on the processed complex vector to generate a signal with a random low peak to average power ratio waveform of the orthogonal frequency division multiplexing system.