An Algebraic Framework for Digital Envelope Modulation

An Algebraic Framework for Digital Envelope Modulation. Bicaïs, S. & Doré, J. -. In 2019 27th European Signal Processing Conference (EUSIPCO), pages 1-5, Sep., 2019.

Paper doi abstract bibtex

Sub-THz communications based on coherent re-ceivers suffer from strong phase impairments issued by oscillators. Envelope detection, inherently robust to this impairment, is hence considered for the design of sub-THz systems. This paper proposes an algebraic framework for envelope modulation. In the first place, we introduce a Hilbert space to represent waveforms with non-negative real values. This space is defined by transport of structure of the usual signal-space L2. So, existing schemes developed for real-valued signals can be exploited upon envelope modulation. In the second place, it is shown that the proposed framework provides powerful tools to design new envelope modulation schemes. To do so, we present the transmission of an Inphase Quadrature signal upon an envelope modulation to prevent the impact of phase noise on communication performance. We also demonstrate that constraints on embedded analog-to-digital converters can be relaxed with the use of orthogonal non-negative waveforms.

@InProceedings{8902957,
  author = {S. Bicaïs and J. -B. Doré},
  booktitle = {2019 27th European Signal Processing Conference (EUSIPCO)},
  title = {An Algebraic Framework for Digital Envelope Modulation},
  year = {2019},
  pages = {1-5},
  abstract = {Sub-THz communications based on coherent re-ceivers suffer from strong phase impairments issued by oscillators. Envelope detection, inherently robust to this impairment, is hence considered for the design of sub-THz systems. This paper proposes an algebraic framework for envelope modulation. In the first place, we introduce a Hilbert space to represent waveforms with non-negative real values. This space is defined by transport of structure of the usual signal-space L2. So, existing schemes developed for real-valued signals can be exploited upon envelope modulation. In the second place, it is shown that the proposed framework provides powerful tools to design new envelope modulation schemes. To do so, we present the transmission of an Inphase Quadrature signal upon an envelope modulation to prevent the impact of phase noise on communication performance. We also demonstrate that constraints on embedded analog-to-digital converters can be relaxed with the use of orthogonal non-negative waveforms.},
  keywords = {algebra;Hilbert spaces;modulation;signal detection;envelope detection;algebraic framework;Hilbert space;nonnegative real values;real-valued signals;envelope modulation schemes;nonnegative waveforms;digital envelope modulation;coherent receivers;strong phase impairments;signal-space L2;sub-THz communications;inphase quadrature signal;phase noise;communication performance;embedded analog-to-digital converters;orthogonal nonnegative waveforms;Hilbert space;Envelope detectors;Receivers;Phase noise;Frequency modulation;Sub-THz communications;Amplitude modulation;Envelope detectors;Linear algebra;Hilbert space},
  doi = {10.23919/EUSIPCO.2019.8902957},
  issn = {2076-1465},
  month = {Sep.},
  url = {https://www.eurasip.org/proceedings/eusipco/eusipco2019/proceedings/papers/1570530799.pdf},
}

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