Compact representation of fdss filters

A method of operating an electronic device, the method comprising:

• phase rotating an input data vector u of length Ma according to predetermined phase rotation parameters, to generate a phase-rotated data vector;
• performing a discrete Fourier transform (DFT) on the phase-rotated data vector to generate DFT-transformed data;
• applying spectral extension to the transformed data by cyclically extending the DFT-transformed data to produce an extended data vector;
• performing frequency domain spectral shaping (FDSS) by element-wise multiplication of the extended data vector with FDSS coefficients to generate FDSS-processed data;
• mapping the FDSS-processed data onto a plurality of subcarriers to generate subcarrier-mapped data;
• performing an inverse discrete Fourier transform (IDFT) on the subcarrier-mapped data to generate IDFT-transformed data;
• adding a cyclic prefix to the IDFT-transformed data to generate an output signal;
• and
• transmitting the output signal.

A non-transitory computer readable medium embodying a computer program comprising program code that, when executed by a processor of a device, causes the device to:

• phase rotate an input data vector u of length Ma according to predetermined phase rotation parameters, to generate a phase-rotated data vector;
• perform a discrete Fourier transform (DFT) on the phase-rotated data vector to generate DFT-transformed data;
• apply spectral extension to the transformed data by cyclically extending the DFT-transformed data to produce an extended data vector;
• perform frequency domain spectral shaping (FDSS) by element-wise multiplication of the extended data vector with FDSS coefficients to generate FDSS-processed data;
• map the FDSS-processed data onto a plurality of subcarriers to generate subcarrier-mapped data;
• perform an inverse discrete Fourier transform (IDFT) on the subcarrier-mapped data to generate IDFT-transformed data;
• add a cyclic prefix to the IDFT-transformed data to generate an output signal;
• and
• transmit the output signal.