EP4094411A1 - Procédés et dispositifs récepteurs pour schéma de modulation à porteuses multiples - Google Patents

Procédés et dispositifs récepteurs pour schéma de modulation à porteuses multiples

Info

Publication number
EP4094411A1
EP4094411A1 EP20718585.1A EP20718585A EP4094411A1 EP 4094411 A1 EP4094411 A1 EP 4094411A1 EP 20718585 A EP20718585 A EP 20718585A EP 4094411 A1 EP4094411 A1 EP 4094411A1
Authority
EP
European Patent Office
Prior art keywords
receiver device
subcarriers
equalization
circle
signature
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Pending
Application number
EP20718585.1A
Other languages
German (de)
English (en)
Inventor
Merouane Debbah
Rostom ZAKARIA
Kamel TOURKI
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Huawei Technologies Co Ltd
Original Assignee
Huawei Technologies Co Ltd
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Huawei Technologies Co Ltd filed Critical Huawei Technologies Co Ltd
Publication of EP4094411A1 publication Critical patent/EP4094411A1/fr
Pending legal-status Critical Current

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Classifications

    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00—Baseband systems
    • H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/0202—Channel estimation
    • H04L25/024—Channel estimation channel estimation algorithms
    • H04L25/0242—Channel estimation channel estimation algorithms using matrix methods
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L1/00—Arrangements for detecting or preventing errors in the information received
    • H04L1/0001—Systems modifying transmission characteristics according to link quality, e.g. power backoff
    • H04L1/0023—Systems modifying transmission characteristics according to link quality, e.g. power backoff characterised by the signalling
    • H04L1/0026—Transmission of channel quality indication
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00—Baseband systems
    • H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/0202—Channel estimation
    • H04L25/0224—Channel estimation using sounding signals
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00—Baseband systems
    • H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/03—Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
    • H04L25/03006—Arrangements for removing intersymbol interference
    • H04L25/03821—Inter-carrier interference cancellation [ICI]
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00—Modulated-carrier systems
    • H04L27/26—Systems using multi-frequency codes
    • H04L27/2601—Multicarrier modulation systems
    • H04L27/2626—Arrangements specific to the transmitter only
    • H04L27/2646—Arrangements specific to the transmitter only using feedback from receiver for adjusting OFDM transmission parameters, e.g. transmission timing or guard interval length
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00—Modulated-carrier systems
    • H04L27/26—Systems using multi-frequency codes
    • H04L27/2601—Multicarrier modulation systems
    • H04L27/2647—Arrangements specific to the receiver only
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00—Baseband systems
    • H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/03—Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
    • H04L25/03006—Arrangements for removing intersymbol interference
    • H04L25/03012—Arrangements for removing intersymbol interference operating in the time domain
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00—Baseband systems
    • H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/03—Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
    • H04L25/03006—Arrangements for removing intersymbol interference
    • H04L25/03159—Arrangements for removing intersymbol interference operating in the frequency domain

Definitions

  • the present disclosure relates generally to the field of multicarrier systems, particularly to receiver devices of multicarrier systems.
  • two receiver devices, a transceiver device, and methods are disclosed, e.g., for time-frequency domain Lagrange- Vandermonde Division Multiplexing (LVDM) or Vandermonde-Lagrange Division Multiplexing (VLDM) equalization in doubly selective (time and frequency selective) channels.
  • LVDM Lagrange- Vandermonde Division Multiplexing
  • VLDM Vandermonde-Lagrange Division Multiplexing
  • the disclosed receiver devices may perform a channel prediction (e.g., obtain channel state information (CSI) for a next transmission slot) and/or a channel estimation (e.g., obtain CSI for a current transmission slot).
  • the predicted CSI may be used, e.g., to build the transceiver blocks for the next LVDM symbols transmission.
  • the estimated CSI may be used for feeding a detector, in particular a detector of the receiver device, for performing an equalization.
  • ZP- OFDM Zero-Padding
  • ITI inter-symbol interference
  • K subcarriers K subcarriers have been used in the ZP-OFDM scheme
  • the frequency domain received signal is given by Eq. (1): ponse channel at the k th subcarrier, and A is a Discrete Fourier Transform (DFT) K x K matrix given by Eq.
  • DFT Discrete Fourier Transform
  • some conventional devices perform a time-domain channel estimation procedure, e.g., the time-domain channel may be estimated for multicarrier signals in a fast and frequency- selective Rayleigh fading channel.
  • an issue of such conventional devices is that, as a consequence of the time- varying channel, the orthogonality between subcarriers is destroyed, resulting in inter-carrier interference (ICI).
  • ICI inter-carrier interference
  • the ICI may further increase an irreducible error floor in proportion to the normalized Doppler frequency.
  • some conventional devices and methods are based on a technique that exploits the time-selective channel as a provider of time diversity. However, such devices have an issue of complexity.
  • DFE Decision Feedback Equalization
  • bit error rate (BER) performance may be saturated (BER floor) for banded schemes at moderate signal-to-noise ratios (SNRs).
  • SNRs signal-to-noise ratios
  • embodiments of the present disclosure aim to improve receiver devices, transceiver devices, and methods for multicarrier modulation schemes.
  • An objective is to provide an advanced receiver for LVDM or VLDM that is able to deal with doubly selective channels.
  • the devices e.g., the receiver devices
  • methods of the present disclosure may use a two-stage-based time-frequency domain equalization.
  • channel estimation and channel prediction are presented.
  • the channel estimation part e.g., obtaining CSI for a current transmission slot
  • the channel prediction output e.g., obtaining a predicted CSI for a next transmission slot
  • the transceiver blocks for the next LVDM symbols transmission.
  • FIG. 19 depicts an exemplary scheme of a transceiver device 1900 comprising a transmitter device 1910 using a Lagrange matrix for modulation and a receiver device 1920 using a Vandermonde matrix for demodulation.
  • LVDM waveform generalizing the ZP-OFDM, referred to as LVDM, where the perfect recovery (PR) condition has been satisfied.
  • PR perfect recovery
  • the LVDM relies on a one-tap equalization leading to a low-complexity implementation of the transceiver device 1900.
  • the transceiver device 1900 (i.e., being based on an LV modulator) is exemplarily shown for K signature roots, which will be defined below.
  • the transmitter device 1910 includes a precoder 1901, a modulator 1902, and a ZP block 1903.
  • the precoder 1901 may apply the tuning factors K k , for example, for allocating the determined transmit power, which may be a KxK diagonal matrix W, as shown in FIG. 19.
  • the modulator 1902 uses the Lagrange matrix R, which has a size of KxK (for example, it may construct a Lagrange matrix and may further generate a multicarrier modulated signal based on the Lagrange matrix).
  • the Lagrange matrix R of size KxK may be as follows:
  • the communication channel of the transceiver device 1900 comprises the transmitter (Tx) filter 1904 and the receiver (Rx) filter 1906.
  • the transmitter filter 1904 and the receiver filter 1906 may be raised cosine filters.
  • the communication channel of the transceiver device 1900 comprises the parameter C 1905, which is a propagation channel of order L and may be obtained according to Eq. (4): Eq. (4)
  • the convolution of the transmitter filter 1904, the parameter C 1905, and the receiver filter 1906 may be given by a channel matrix H (frequency selective channels).
  • the transceiver device 1900 further comprises the receiver device 1920, which includes the demodulator 1907, the one-tap Equalizer unit 1908, and the decision block 1909.
  • the demodulator 1907 performs a demodulation based on constructing a matrix E, which is a Vandermonde matrix having a size of KxP, as follows:
  • the one-tap equalizer 1908 uses a KxK diagonal matrix, and a convolution of the modulation, channel, and demodulation, is given by:
  • the demodulated signal may be obtained according to Eq. (7) as follows: and the one tap-equalization is given by:
  • FIG. 20 is a schematic view for signaling exchange, the signaling indicating the modified radius a opt of a circle.
  • the radius “a” may be modified (e.g., optimized) at the receiver device 1920, then the optimized radius ( a opt ) may be fed back to the transmitter device 1910, for example, to build the precoder 1901 and the modulator 1902, as it is shown in FIG. 20.
  • An optimization block 2002 is provided that needs channel state information, which can be obtained from the channel estimation unit 2001, to compute an optimization metric. Further, the optimization block 2002 may compute the modified radius a opt .
  • a signalling 2003 may be sent to feedback the modified, optimized radius a opt to the transmitter device 1910, which may be required for the modulator 1902 and the precoder 1901.
  • the receiver device 1920 may use the modified, optimized radius a opt to compute the demodulation matrix.
  • the receiver devices and methods of the present disclosure enable dealing with doubly (time and frequency) selective channels while maintaining the low complexity of the transceiver implementation.
  • a first aspect of the present disclosure provides a receiver device for a multicarrier modulation scheme, the receiver device being configured to, in a current transmission slot, determine a plurality of signature roots, wherein each signature root of the plurality of signature roots is a nonzero complex point; obtain predicted CSI of a communication channel between the receiver device and a transmitter device for a next transmission slot; determine a first radius of a circle based on the predicted CSI, wherein the determined plurality of signature roots are uniformly distributed on a circumference of the circle; and provide a feedback message to the transmitter device, the feedback message indicating the first radius of the circle.
  • the receiver device may be a receiver for a transceiver device of the multicarrier modulation scheme.
  • the receiver device is an advanced receiver for LVDM or VLDM, in that it is able to deal with doubly selective channels.
  • the receiver device may be an electronic device comprising circuitry.
  • the circuitry may comprise hardware and software.
  • the hardware may comprise analog or digital circuitry, or both analog and digital circuitry.
  • the circuitry comprises one or more processors and a non-volatile memory connected to the one or more processors.
  • the non volatile memory may carry executable program code which, when executed by the one or more processors, causes the device to perform the operations or methods described herein.
  • a channel estimation and a channel prediction may be done.
  • the channel estimation part may feed the detector (i.e., for the equalization), while the channel prediction may be used to build the transceiver blocks for the next LVDM symbols transmission (during a next transmission slot).
  • the receiver device may be adapted (e.g., it may perform two equalizations, comprising a first equalization and a second equalization, which may be different from each other) based on a performance-complexity trade-off that the multicarrier system should satisfy.
  • the receiver device is further configured to obtain estimated CSI of the communication channel for the current transmission slot; determine a second radius of a further circle based on the estimated CSI, wherein the determined plurality of signature roots are uniformly distributed on a circumference of the further circle; construct a Lagrange matrix or a Vandermonde matrix based on the plurality of signature roots; and perform a demodulation of a multicarrier modulated signal received from the transmitter device, based on the Lagrange matrix or the Vandermonde matrix to obtain a demodulated signal.
  • the receiver device is further configured to determine a signal-to-interference-plus-noise ratio (SINR) for at least one subcarrier of the demodulated signal; perform a first equalization for a first set of subcarriers having a SINR value equal to or above a threshold value to obtain an equalized first set of subcarriers; perform a second equalization for a second set of subcarriers having a SINR value below the threshold value to obtain an equalized second set of subcarriers; and obtain an equalized demodulated signal based on a combination of the equalized first set of subcarriers and the equalized second set of sub carriers.
  • SINR signal-to-interference-plus-noise ratio
  • the receiver device may determine the SINR at the k-th subcarrier according to Eq. (9): and S 2 are the sub carrier sets given by Eq. (10) where
  • the receiver device may perform the first equalization for the first set of subcarriers (i.e. 5 C ) and perform the second equalization for the second set of subcarriers (i.e., 1 ⁇ 4) ⁇
  • a second aspect of the present disclosure provides a receiver device for a multicarrier modulation scheme, the receiver device being configured to, in a current transmission slot, determine a plurality of signature roots, wherein each signature root of the plurality of signature roots is a nonzero complex point; obtain estimated C SI of a communication channel between the receiver device and a transmitter device for the current transmission slot; determine a first radius of a circle based on the estimated CSI, wherein the determined plurality of signature roots are uniformly distributed on a circumference of the circle; construct a Lagrange matrix or a Vandermonde matrix based on the plurality of signature roots; perform a demodulation of a multicarrier modulated signal received from the transmitter device, based on the Lagrange matrix or the Vandermonde matrix, to obtain a demodulated signal; determine a SINR for at least one subcarrier based on the demodulated signal and the determined first radius of the circle; perform a first equalization on a first set of subcarriers of the demodulated signal, the first
  • the receiver device of the second aspect may be similar or identical to the receiver device of the first aspect and may perform a similar or identical function.
  • the receiver device is an advanced receiver device for LVDM or VLDM, in that it is able to deal with doubly selective channels.
  • the receiver device may determine the SINR.
  • the SINR may be determined according to Eq. (9) to Eq. (11), as discussed above.
  • the receiver device may perform the first equalization for the first set of subcarriers (i.e., 5 X ) for obtaining equalized demodulated signal, and may perform the second equalization for the second set of subcarriers (i.e., S 2 ) for obtaining equalized modulated signal.
  • the receiver device is further configured to obtain predicted CSI of the communication channel for a next transmission slot; determine a second radius of a further circle based on the predicted CSI, wherein the determined plurality of signature roots are uniformly distributed on a circumference of the further circle; and provide a feedback message to the transmitter device, the feedback message indicating the second radius of the further circle.
  • the receiver device is further configured to compute a metric for evaluating the first radius of the circle and/or the second radius of the further circle to obtain a modified first radius of the circle and/or a modified second radius of the further circle; and provide a feedback message to the transmitter device, the feedback message indicating the modified first radius of the circle and/or the modified second radius of the further circle.
  • the first equalization is based on a zero-forcing (ZF) equalization, comprising an inversion of a diagonal matrix on the first set of subcarriers of the demodulated signal.
  • ZF zero-forcing
  • the receiver device of the first aspect and/or the receiver device of the second aspect may perform the first equalization for the first set of subcarriers (e.g., 5 C )
  • the receiver device may apply the inversion of the diagonal matrix on the first set of subcarriers of the demodulated signal.
  • the second equalization comprises removing a contribution of the first set of subcarriers from the multicarrier modulated signal received from the transmitter device; and applying a minimum mean square error, (MMSE) criteria on the second set of subcarriers of a remainder of the multicarrier modulated signal received from the transmitter device.
  • MMSE minimum mean square error
  • the receiver device of the first aspect and/or the receiver device of the second aspect may perform the second equalization for the second set of subcarriers (e.g., S 2 ).
  • the receiver device may remove the contribution of the decided symbols in s x from the time domain received signal (r) such that: r 2 r - H t2 R I , : . S, ) s,
  • the receiver device may apply MMSE to r 2 , then decide s 2 I1(W r 2 ), as follows: Eq. (15) and
  • R 2 matrix may be formed from R by the columns of indices in S 2 .
  • the first equalization is based on a ZF parallel interference cancellation (PIC) equalization, comprising estimating an ICI based on the first set of subcarriers; removing a contribution of the estimated ICI; and applying, after removing the contribution of the estimated ICI, an inversion of a diagonal matrix on a remainder of the demodulated signal.
  • PIC ZF parallel interference cancellation
  • the receiver device of the first aspect and/or the receiver device of the second aspect may perform the first equalization for the first set of subcarriers (e.g., 5 X )
  • the receiver device may remove the contribution of the estimated ICI, and, after removing the contribution of the estimated ICI, it may apply the inversion of the diagonal matrix on the remainder of the demodulated signal as follows: Eq. (18)
  • the first equalization is based on a MMSE PIC equalization comprising estimating an ICI based on the first set of subcarriers; removing a contribution of the estimated ICI; and applying, after removing the contribution of the estimated ICI, an MMSE matrix on a remainder of the demodulated signal.
  • the receiver device of the first aspect and/or the receiver device of the second aspect may perform the first equalization for the first set of subcarriers (e.g., 5 X )
  • the receiver device may remove the contribution of the estimated ICI and apply the MMSE matrix according to Eq. (22) as follows: Eq. (22)
  • the second equalization is based on a MMSE ordered successive interference cancellation (OSIC) equalization comprising removing a contribution of the first set of subcarriers from the multicarrier modulated signal received from the transmitter device; and applying a MMSE OSIC operation on the second set of subcarriers of a remainder of the multicarrier modulated signal received from the transmitter device.
  • OSIC MMSE ordered successive interference cancellation
  • the receiver device of the first aspect and/or the receiver device of the second aspect may perform the second equalization for the second set of subcarriers (e.g., S 2 ).
  • the receiver device may remove the contribution of the decided symbols in s x from the time domain received signal r such that: eq. (23)
  • the receiver device may apply the MMSE-OSIC operation to r 2 .
  • the MMSE may be carried out using Eq. (25): Eq. (25) where H z is the matrix H obtained after removing the columns indexed by (z z 2 , ... , z n-1 ).
  • the index of the selected symbol to be detected during the n- th iteration may be obtained according to Eq. (26): Eq. (26) where f ( are given by Eq. (27): and h ( given by: Eq. (28)
  • the receiver device may obtain s Zn through a hard decision on Eq. (29) where and Eq. (31)
  • the receiver device of the first aspect and the receiver device of the second aspect are designed to deal with doubly selective channels, such as doubly selective fading channels, without limiting the present disclosure to specific channels.
  • a third aspect of the present disclosure provides a transceiver device comprising a transmitter device configured to generate a multicarrier modulated signal based on constructing a Lagrange matrix or a Vandermonde matrix; and a receiver device according to according to the first aspect or any of its implementation forms or a receiver device according to the second aspect or any of its implementation forms.
  • a fourth aspect of the present disclosure provides a method for a receiver device for a multicarrier modulation scheme, wherein the method comprises, in a current transmission slot, determining a plurality of signature roots, wherein each signature root of the plurality of signature roots is a nonzero complex point; obtaining predicted CSI of a communication channel between the receiver device and a transmitter device for a next transmission slot; determining a first radius of a circle based on the predicted CSI, wherein the determined plurality of signature roots are uniformly distributed on a circumference of the circle; and providing a feedback message to the transmitter device, the feedback message indicating the first radius of the circle.
  • the method further comprises obtaining estimated CSI of the communication channel for the current transmission slot; determining a second radius of a further circle based on the estimated CSI, wherein the determined plurality of signature roots are uniformly distributed on a circumference of the further circle; constructing a Lagrange matrix or a Vandermonde matrix based on the plurality of signature roots; and performing a demodulation of a multicarrier modulated signal received from the transmitter device, based on the Lagrange matrix or the Vandermonde matrix to obtain a demodulated signal.
  • the method further comprises determining a SINR for at least one subcarrier of the demodulated signal; performing a first equalization for a first set of subcarriers having a SINR value equal to or above a threshold value to obtain an equalized first set of subcarriers; performing a second equalization for a second set of subcarriers having a SINR value below the threshold value to obtain an equalized second set of subcarriers; and obtaining an equalized demodulated signal based on a combination of the equalized first set of subcarriers and the equalized second set of subcarriers.
  • a fifth aspect of the present disclosure provides a method for a receiver device for a multicarrier modulation scheme, wherein the method comprises, in a current transmission slot, determining a plurality of signature roots, wherein each signature root of the plurality of signature roots is a nonzero complex point; obtaining estimated CSI of a communication channel between the receiver device and a transmitter device for the current transmission slot; determining a first radius of a circle based on the estimated CSI, wherein the determined plurality of signature roots are uniformly distributed on a circumference of the circle; constructing a Lagrange matrix or a Vandermonde matrix based on the plurality of signature roots; performing a demodulation of a multicarrier modulated signal received from the transmitter device, based on the Lagrange matrix or the Vandermonde matrix, to obtain a demodulated signal; determining a SINR for at least one subcarrier based on the demodulated signal and the determined first radius of the circle; performing a first equalization on a first set of subcarriers of
  • the method further comprises obtaining predicted CSI of the communication channel for a next transmission slot; determining a second radius of a further circle based on the predicted CSI, wherein the determined plurality of signature roots are uniformly distributed on a circumference of the further circle; and providing a feedback message to the transmitter device, the feedback message indicating the second radius of the further circle.
  • the method further comprises computing a metric for evaluating the first radius of the circle and/or the second radius of the further circle to obtain a modified first radius of the circle and/or a modified second radius of the further circle; and providing a feedback message to the transmitter device, the feedback message indicating the modified first radius of the circle and/or the modified second radius of the further circle.
  • the first equalization is based on a ZF equalization, comprising an inversion of a diagonal matrix on the first set of subcarriers of the demodulated signal.
  • the second equalization comprises, removing a contribution of the first set of subcarriers from the multicarrier modulated signal received from the transmitter device; and applying a MMSE criteria on the second set of subcarriers of a remainder of the multicarrier modulated signal received from the transmitter device.
  • the first equalization is based on a ZF PIC equalization, comprising estimating an ICI based on the first set of subcarriers; removing a contribution of the estimated ICI; and applying, after removing the contribution of the estimated ICI, an inversion of a diagonal matrix on a remainder of the demodulated signal.
  • the first equalization is based on a MMSE PIC equalization, comprising estimating an ICI based on the first set of subcarriers; removing a contribution of the estimated ICI; and applying, after removing the contribution of the estimated ICI, an MMSE matrix on a remainder of the demodulated signal.
  • the second equalization is based on a MMSE OSIC equalization comprising removing a contribution of the first set of subcarriers from the multicarrier modulated signal received from the transmitter device; applying a MMSE OSIC operation on the second set of subcarriers of a remainder of the multicarrier modulated signal received from the transmitter device.
  • a sixth aspect of the present disclosure provides a computer program comprising a program code for performing the method according to the fourth aspect or any of its implementation forms or the method according to the fifth aspect or any of its implementation forms.
  • a seventh aspect of the present disclosure provides a non-transitory storage medium storing executable program code which, when executed by a processor, causes the method according to the fourth aspect or any of its implementation forms or the method according to the fifth aspect or any of its implementation forms to be performed.
  • FIG. 1 depicts a schematic view of a receiver device for a multicarrier modulation scheme, according to an embodiment of the present disclosure
  • FIG. 2 depicts a schematic view of another receiver device for a multicarrier modulation scheme, according to an embodiment of the present disclosure
  • FIG. 3 depicts a schematic view of a transceiver device for a multicarrier modulation scheme, according to an embodiment of the present disclosure
  • FIG. 4 depicts a schematic view of a diagram illustrating a signaling exchange in the transceiver device for a doubly selective channel
  • FIG. 5 depicts a diagram illustrating pilot patterns using dedicated LVDM symbols
  • FIG. 6 depicts a diagram illustrating NP stacked pilot vectors, where ( NP — 1) are buffered pilot vectors with a new received one;
  • FIG. 7 depicts a diagram illustrating the receiver device performing a first equalization based on the one-tap equalization (ZF) and a second equalization based on the MMSE;
  • FIG. 8 depicts a diagram illustrating the receiver device performing a first equalization based on the one-tap equalization (ZF) and a second equalization based on the MMSE-OSIC;
  • FIG. 9 depicts a diagram illustrating the receiver device performing a first equalization based on the one-tap equalization-PIC and a second equalization based on the MMSE-OSIC;
  • FIG. 10 depicts a diagram illustrating the receiver device performing a first equalization based on the MMSE-PIC and a second equalization based on the MMSE-OSIC;
  • FIGS. 11A-11B depict diagrams illustrating performance results of scheme 1 discussed with respect to FIG. 7 and scheme 2 discussed with respect to FIG. 8;
  • FIGS. 12A-12B depict diagrams illustrating performance results of scheme 3 discussed with respect to FIG. 9 and scheme 4 discussed with respect to FIG. 10;
  • FIG. 16A-16B depict diagrams illustrating a sensitivity to the channel and a opt radius estimation errors in scheme 3 ;
  • FIG. 17 depicts a flowchart of a method for a receiver device for a multicarrier modulation scheme, according to an embodiment of the present disclosure
  • FIG. 18 depicts a flowchart of a method for another receiver device for a multicarrier modulation scheme, according to an embodiment of the present disclosure
  • FIG. 19 depicts an exemplary embodiment of a transceiver device comprising a transmitter device using a Lagrange matrix for modulation and a receiver device using a Vandermonde matrix for demodulation;
  • FIG. 20 depicts a diagram illustrating an exemplary scheme for signaling exchange indicating a radius of a circle.
  • FIG. 1 depicts a schematic view of a receiver device 100 for a multicarrier modulation scheme, according to an embodiment of the present disclosure.
  • the receiver device 100 is configured to, in a current transmission slot, determine a plurality of signature roots 101, 102, wherein each signature root of the plurality of signature roots 101, 102 is a nonzero complex point.
  • the receiver device 100 is further configured to, in the current transmission slot, obtain predicted CSI 103 of a communication channel 111 between the receiver device 100 and a transmitter device 110 for a next transmission slot.
  • the receiver device 100 is further configured to, in the current transmission slot, determine a first radius 104 of a circle 105 based on the predicted CSI 103, wherein the determined plurality of signature roots 101, 102 are uniformly distributed on a circumference of the circle 105; and provide a feedback message 106 to the transmitter device 110, the feedback message 106 indicating the first radius 104 of the circle 105.
  • the receiver device 100 is able to, in the current transmission slot, obtain (e.g., estimate) a predicted CSI for the next transmission slot. Moreover, the device 100 is able to, in the current transmission slot, provide (e.g., send to the transmitter device) the feedback message 106 indicating the first radius 104 of the circle 105.
  • the receiver device 100 may comprise a processing circuitry (not shown in FIG. 1) configured to perform, conduct or initiate the various operations of the device 100 described herein.
  • the processing circuitry may comprise hardware and software.
  • the hardware may comprise analog circuitry or digital circuitry, or both analog and digital circuitry.
  • the digital circuitry may comprise components such as application-specific integrated circuits (ASICs), field- programmable arrays (FPGAs), digital signal processors (DSPs), or multi-purpose processors.
  • the processing circuitry comprises one or more processors and a non- transitory memory connected to the one or more processors.
  • the non-transitory memory may carry executable program code which, when executed by the one or more processors, causes the device 100 to perform, conduct or initiate the operations or methods described herein.
  • FIG. 2 depicts a schematic view of a receiver device 200 for a multicarrier modulation scheme, according to an embodiment of the present disclosure.
  • the receiver device 200 of FIG. 2 may be similar or identical to the receiver device 100 of FIG. 1, and may perform a similar or an identical function.
  • the receiver device 200 is configured to, in a current transmission slot, determine a plurality of signature roots 101, 102, wherein each signature root of the plurality of signature roots 101, 102 is a nonzero complex point.
  • the receiver device 200 is further configured to, in the current transmission slot, obtain estimated CSI 203 of a communication channel 111 between the receiver device 200 and a transmitter device 110 for the current transmission slot.
  • the receiver device 200 is further configured to, in the current transmission slot, determine a first radius 204 of a circle 205 based on the estimated CSI 203 wherein the determined plurality of signature roots 101, 102 are uniformly distributed on a circumference of the circle 205.
  • the receiver device 200 is further configured to, in the current transmission slot, construct a Lagrange matrix 201-L or a Vandermonde matrix 201-V based on the plurality of signature roots 101, 102.
  • the receiver device 200 is further configured to, in the current transmission slot, perform a demodulation of a multicarrier modulated signal 120 received from the transmitter device 110, based on the Lagrange matrix 201-L or the Vandermonde matrix 201-V, to obtain a demodulated signal 202.
  • the receiver device 200 is further configured to, in the current transmission slot, determine a SINR for at least one subcarrier 121, 122 based on the demodulated signal 202 and the determined first radius 204 of the circle205; perform a first equalization on a first set of subcarriers 121 of the demodulated signal 202, the first set of subcarriers having a SINR value equal to or above a threshold value, to obtain an equalized demodulated signal 221; perform a second equalization on a second set of subcarriers 122 of the multicarrier modulated signal 120 received from the transmitter device 110, the second set of subcarriers 122 having a SINR value below the threshold value, to obtain an equalized modulated signal 222; and obtain an output signal 220 based on a combination of the equalized demodulated signal 221 and the equalized modulated signal 222.
  • the receiver device 200 may comprise a processing circuitry (not shown in FIG. 2) configured to perform, conduct or initiate the various operations of the device 100 described herein.
  • the processing circuitry may comprise hardware and software.
  • the hardware may comprise analog circuitry or digital circuitry, or both analog and digital circuitry.
  • the digital circuitry may comprise components such as application-specific integrated circuits (ASICs), field- programmable arrays (FPGAs), digital signal processors (DSPs), or multi-purpose processors.
  • the processing circuitry comprises one or more processors and a non- transitory memory connected to the one or more processors.
  • the non-transitory memory may carry executable program code which, when executed by the one or more processors, causes the device 100 to perform, conduct or initiate the operations or methods described herein.
  • FIG. 3 depicts a schematic view of a transceiver device for a multicarrier modulation scheme, according to an embodiment of the present disclosure.
  • the transceiver device 300 for the multicarrier modulation scheme comprises a transmitter device 110 that is configured to generate a multicarrier modulated signal 120 based on constructing a Lagrange matrix or a Vandermonde matrix.
  • the transceiver device 300 further comprises a receiver device, which may be the receiver device 100 or the receiver device 200.
  • the transceiver device 300 may comprise a processing circuitry (not shown in FIG. 3) configured to perform, conduct or initiate the various operations of the device 100 described herein.
  • the processing circuitry may comprise hardware and software.
  • the hardware may comprise analog circuitry or digital circuitry, or both analog and digital circuitry.
  • the digital circuitry may comprise components such as application-specific integrated circuits (ASICs), field-programmable arrays (FPGAs), digital signal processors (DSPs), or multi-purpose processors.
  • the processing circuitry comprises one or more processors and a non-transitory memory connected to the one or more processors.
  • the non-transitory memory may carry executable program code which, when executed by the one or more processors, causes the device 100 to perform, conduct or initiate the operations or methods described herein.
  • FIG. 4 depicts a diagram illustrating the transceiver device 300 providing a feedback message.
  • the transceiver device 300 (based on an LV modulator for a doubly selective channels) is shown as an example for K signature roots.
  • the transceiver device 300 comprises the transmitter device 110 that includes a precoder 401, a modulator 402, and a ZP block 403. Moreover, the communication channel 111 of the transceiver device 300 comprises the receiver filter 406. The transceiver device 300 further comprises the receiver device (e.g., it may be the receiver device 100 of FIG.1 or the receiver device 200 of FIG. 2), which includes the demodulator 407, the one-tap equalizer unit 408 (which may be a time-frequency domain equalizer), and the decision block 409.
  • the receiver device e.g., it may be the receiver device 100 of FIG.1 or the receiver device 200 of FIG. 2
  • the transmitter device 300 is discussed as an example for time-frequency domain equalizations for the Lagrange Vandermonde division multiplexing, without limiting the present disclosure.
  • a joint channel estimation and prediction has been proposed, to provide a timely signaling exchange between the receiver device 100 (or the receiver device 200) and the transmitter device 110.
  • the receiver device 100 or the receiver device 200 may estimate (e.g., based on the mean squared error (MSE)), the modified, optimized radius of the circle a opt , and may further feed the modified radius of the circle back to the transmitter device 110, during the training phase, to build the precoder 401 and modulator 402 blocks.
  • MSE mean squared error
  • the transceiver device 300 may solve two issues of the time-varying channel, including:
  • H t is the time-varying channel matrix
  • h(n, l) h c (nT s , IT S )
  • h c (t, t) is the time-varying impulse response of the channel that includes transmitter-receiver filters as well as the doubly selective propagation effects.
  • the channel impulse response may vary even within one LVDM symbol, which may result in issues in the signaling exchange for sending the feedback message or in the detection process.
  • the transceiver device 300 may solve the two issues subsequently, within two consecutive steps including:
  • a joint channel estimation and prediction algorithm wherein some values of optimized radius a opt should be predicted at the receiver device 100, 200 and sent to the transmitter device 110, to be used for the transmission of the next LVDM symbols.
  • the receiver device 100, 200 may use the channel estimation to detect the received LVDM symbols, and a processing (that will be discussed in below) may be used to overcome the ICI.
  • the transceiver device 300 may perform a (joint) channel estimation and prediction.
  • the channel estimation part may feed the detector (e.g., of the receiver device for performing an equalization) while the channel prediction output may be used to build the transceiver blocks for the next LVDM symbols transmission.
  • the transmitter device 300 further comprises the optimization block 412 that may compute the optimization metric (for instance, the MSE) based on the CSI, and then compute the modified, optimized radius a opt values, for example, for the actual received symbols during the current transmission slot and for the next transmission slot.
  • the optimization metric for instance, the MSE
  • a opt values for example, for the actual received symbols during the current transmission slot and for the next transmission slot.
  • the transmitter device may further, optionally, comprise a refinement block, for example, to refine the plurality of signature roots.
  • a refinement block for example, to refine the plurality of signature roots.
  • the plurality of signature roots may be individually refined based on a specific optimization method and using a metric such as MSE.
  • the transmitter device 300 may further provide a signal to feedback the modified, optimized radius a opt (or the refined signature roots), derived from the prediction entity, to transmitter device 110 for the modulation 402 and precoding block 401.
  • the receiver device 100 or the receiver device 200 may use the modified, optimized radius a opt to compute the demodulation matrix, determine the SINR, perform equalization, etc.
  • a joint channel estimation and prediction may be performed. For example, by assuming that x max and f D are the delay spread and the Doppler spread, respectively, and T s is the sampling period at the receiver device, both x max and f D may be measured. Moreover, the NT S may be the channel coherence time.
  • a basis expansion channel model (BEM) may be used (generally known to the skilled person), in which h c (t, x) may be obtained for t e [kNT s , (k + T)NT S ) (in the k th channel coherence time) by using: L/2 a. L + 1 coefficients ⁇ 3 ⁇ 4 —A/2 that remain invariant per block, but are allowed to change with k , and b. A + 1 Fourier bases j e / 277 ' /v ⁇ ' ⁇ that may capture the time variation, but are common for all of the k channels.
  • BEM basis expansion channel model
  • FIG. 5 depicts a diagram illustrating the transmitted LVDM frames, wherein NP training sequence vectors are inserted every D transmitted symbol vectors (one pilot vector followed by
  • IPJ transmitted LVDM symbols using K subcarriers.
  • the dashed arrows represents a scenario when the modified, optimized radius a opt is fed back to the transmitter device 110 and is further sent to the demodulation block 407 (e.g., of the receiver device 100 or the receiver device 200) to be used in the next transmission slots.
  • the demodulation block 407 e.g., of the receiver device 100 or the receiver device 200
  • the transceiver device 300 may stack the received NP pilot vectors in y b (see FIG. 6).
  • (37) has a size ( NP X P) X ((A + 1) X (L + 1)) , where, in above Eq. (37), is a Toeplitz matrix formed by the transmitted pilot vectors.
  • FIG. 6 depicts a diagram illustrating NP stacked pilot vectors, wherein ( NP — 1) are the buffered pilot vectors illustrated along with a newly received pilot vector.
  • the transceiver device 300 may apply the linear MMSE channel estimator and may further obtain the estimated channel according to Eq. (41) as follows: Eq. (41) where Eq. (42)
  • R h is known at the receiver device 100, 200. For example, since R h depends only on the channel delay profile, it may be determined by the receiver device 100 or the receiver device 200.
  • the (estimated) channel matrices H et and H pred which are the output of the algorithm, may be used to detect the actual (D-l) received LVDM symbols and to further predict the (I)- ⁇ ) coming values of the optimized radius a opt , respectively (see FIG. 6).
  • the transceiver device 300 may modify (optimize) the radius a at the receiver device 100 or the receiver device 200 through the corresponding optimization block 412 and by using a metric (such as the MSE) and may further obtain, for example, the modified, optimized radius a oPt , a vector of (D-l) values for the a opt m according to Eq. (44) as follows: Eq. (44) where
  • the above-mentioned algorithm (the algorithm for joint channel estimation and prediction (CEP algorithm)) may further be summarized according to Eq. (46).
  • the inputs of the algorithm are R h and y b , and the outputs of the algorithm are H et and H Pred .
  • the algorithm includes five computing steps, wherein each computing step of the algorithm is indicated with a bullet point as follows:
  • the next step is the detection phase.
  • the receiver device 100 or the receiver device 200 may use the estimated channel for detecting the received LVDM symbols, and processing (that will be discussed below) may be used to overcome the ICI.
  • a time-frequency domain equalization is disclosed to deal with the doubly selective channels.
  • the equalization may be performed over two stages (including a first equalization and a second equalization) using both frequency and time-domain processing.
  • the SINR at the k-th subcarrier may be determined according to Eq. (9) to Eq. (11), as discussed above.
  • the equalization is performed over two stages (i.e., the first equalization and the second equalization) using both frequency- and time-domain processing, without limiting the present disclosure to a specific configuration or type of performed equalization.
  • the first equalization is performed for the first set of subcarriers (5 C )
  • the second equalization is performed for the second set of subcarriers (S 2 ).
  • the index m is dropped in the sequel.
  • the receiver device 100 may perform the first equalization (indicated with stage
  • the receiver device 200 may perform the first equalization for the first set of subcarriers (5 X ) to obtain the equalized demodulated signal 221.
  • the receiver device 100 may perform the second equalization (indicated with stage
  • the receiver device 200 may perform the second equalization for the second set of subcarriers (S 2 ) to obtain an equalized modulated signal 222.
  • FIG. 7 depicts a diagram illustrating the receiver device 100, 200 performing a first equalization based on the one-tap equalization 1TE (ZF) and a second equalization based on the MMSE.
  • ZF one-tap equalization 1TE
  • the receiver device 100 or the receiver device 200 may perform the first equalization being based on the ZF equalization (i.e., discussed above with respect to the Eq. (12) to Eq. (13)).
  • the ZF equalization comprises applying the inversion of the diagonal matrix on the first set of subcarriers 121 of the demodulated signal 202.
  • the receiver device 100 or the receiver device 200 may perform the second equalization based on the MMSE equalization (i.e., discussed above with respect to the Eq. (14) to Eq. (16)). For example, the receiver device 100 or the receiver device 200 may remove the contribution of the first set of subcarriers 121 from the multicarrier modulated signal 120 received from the transmitter device 110, and may further apply the MMSE criteria on the second set of subcarriers 122 of the remainder of the multicarrier modulated signal 120 received from the transmitter device 110.
  • FIG. 8 depicts a diagram illustrating the receiver device performing a first equalization based on the one-tap equalization 1TE (ZF) and a second equalization based on the MMSE-OSIC.
  • the receiver device 100 or the receiver device 200 may perform the first equalization being based on the ZF equalization (i.e., discussed under the Eq. (12) to Eq. (13) above).
  • the receiver device 100 or the receiver device 200 may perform the second equalization being based on the MMSE-OSIC equalization (i.e., discussed above with respect to the Eq. (23) to Eq. (31)). For example, the receiver device 100 or the receiver device 200 may remove the contribution of the first set of subcarriers 121 from the multicarrier modulated signal 120 received from the transmitter device 110, and may further apply the MMSE OSIC operation on the second set of subcarriers 122 of the remainder of the multicarrier modulated signal 120 received from the transmitter device 110.
  • FIG. 9 depicts a diagram illustrating the receiver device performing a first equalization based on the one-tap equalization (lTE)-PIC and a second equalization based on the MMSE-OSIC.
  • the receiver device 100 or the receiver device 200 may perform the first equalization based on the one-tap equalization (lTE)-PIC (ZF- PIC) equalization (i.e., discussed above with respect to the Eq. (17) to Eq. (18)). For instance, the receiver device 100 or the receiver device 200 may estimate the ICI based on the first set of subcarriers 121, removing the contribution of the estimated ICI, and may further apply, after removing the contribution of the estimated ICI, the MMSE matrix on the remainder of the demodulated signal 202.
  • lTE one-tap equalization
  • ZF- PIC ZF- PIC
  • the receiver device 100 or the receiver device 200 may perform the second equalization being based on the MMSE-OSIC equalization (i.e., discussed above with respect to the Eq. (23) to Eq. (31)).
  • FIG. 10 depicts a diagram illustrating the receiver device performing a first equalization based on the MMSE-PIC and a second equalization based on the MMSE-OSIC.
  • the receiver device 100 or the receiver device 200 may perform the first equalization based on the MMSE-PIC equalization (i.e., discussed above with respect to the Eq. (19) to Eq. (22)).
  • the receiver device 100 or the receiver device 200 may estimate the ICI based on the first set of subcarriers 121, remove the contribution of the estimated ICI, and may further apply, after removing the contribution of the estimated ICI, the MMSE matrix on the remainder of the demodulated signal 202.
  • the receiver device 100 or the receiver device 200 may perform the second equalization based on the MMSE-OSIC equalization (i.e., discussed above with respect to the Eq. (23) to Eq. (31)).
  • FIG. 11 A, 11B, 12A, 12B, 13A, 13 B, 14A, 14B, 15A, 15B, 16A, and 16B depict respective diagrams illustrating performance results of the proposed schemes (i.e., scheme 1 discussed with respect to FIG. 7, scheme 2 discussed with respect to FIG. 8, scheme 3 discussed with respect to FIG. 9, and scheme 4 discussed above with respect to FIG. 10), in a general doubly selective channel. Furthermore, a comparison is carried out where the performance/complexity tradeoff is discussed.
  • the quadratic phase- shift keying (QPSK) modulations is considered.
  • FIG. 11 A and 1 IB depict diagrams illustrating performance results of scheme 1 discussed with respect to FIG. 7 and scheme 2 discussed with respect to FIG. 8.
  • FIG. 12A and 12B depict diagrams illustrating performance results of scheme 3 discussed with respect to FIG. 9 and scheme 4 discussed with respect to FIG. 10.
  • both scheme 3 and scheme 4 provide 8 dB of gain for LVDM over LVDM-OSIC. Moreover, they have the same complexity order too, scheme 4 performs more operations in the first equalization (stage 1), since it is using MMSE.
  • FIG. 11A, 11B, 12A, 12B, 13A, 13 B, 14A, 14B, 15A, and 15B have been depicted using perfect CSI at the receiver device.
  • the performance results are shown using the CEP algorithm (discussed above with respect to Eq. (46)), and it was proposed as step 1 above to be performed by the receiver device 100 or the receiver device 200.
  • FIG. 16A and 16B depict diagrams illustrating the effect of CEP errors (FIG. 16A) and normalized MSE (NMSE) of the modified, optimized radius a opt in CEP (FIG. 16B).
  • FIG. 16A and 16B the sensitivity to the channel and the sensitivity of modified, optimized radius a opt to the estimation errors in scheme 3 are illustrated.
  • FIG. 16B shows that Normalized MSE (NMSE) of predicted (e.g., for next transmission slot) optimized radius a opt is more accentuated than that of the estimated radius a opt (e.g., estimated for the current transmission slot).
  • NMSE Normalized MSE
  • LVDM outperforms the OFDM in 3GPP EVB channels when using either perfect or imperfect CSI.
  • FIG. 17 shows a method 1700 according to an embodiment of the present disclosure for a multicarrier modulation scheme.
  • the method 1700 may be carried out by the receiver device 100 or the receiver device 200, as they are described above. Without limiting the present disclosure, in the following, the method 1700 is exemplarily discussed as a method being performed by the receiver device 100.
  • the method 1700 comprises a step SI 701 of determining, in a current transmission slot, a plurality of signature roots 101, 102, wherein each signature root of the plurality of signature roots 101, 102 is a nonzero complex point.
  • the method 1700 further comprises a step SI 702 of obtaining, in the current transmission slot, predicted CSI 103 of a communication channel 111 between the receiver device 100 and a transmitter device 110 for a next transmission slot.
  • the method 1700 further comprises a step SI 703 of determining, in the current transmission slot, a first radius 104 of a circle 105 based on the predicted CSI 103, wherein the determined plurality of signature roots 101, 102 are uniformly distributed on a circumference of the circle 105.
  • the method 1700 further comprises a step SI 704 of providing, in the current transmission slot, a feedback message 106 to the transmitter device 110, the feedback message 106 indicating the first radius 104 of the circle 105.
  • FIG. 18 shows a method 1800 according to an embodiment of the present disclosure for a multicarrier modulation scheme.
  • the method 1800 may be carried out by the receiver device 100 or the receiver device 200, as they are described above. Without limiting the present disclosure, in the following, the method 1800 is exemplarily discussed as a method being performed by the receiver device 200.
  • the method 1800 comprises a step SI 801 of determining, in a current transmission slot, a plurality of signature roots 101, 102, wherein each signature root of the plurality of signature roots 101, 102 is a nonzero complex point.
  • the method 1800 further comprises a step SI 802 of obtaining, in the current transmission slot, estimated CSI 203 of a communication channel 111 between the receiver device 200 and a transmitter device 110 for the current transmission slot.
  • the method 1800 further comprises a step SI 803 of determining, in the current transmission slot, a first radius 204 of a circle 205 based on the estimated CSI 203 wherein the determined plurality of signature roots 101, 102 are uniformly distributed on a circumference of the circle.
  • the method 1800 further comprises a step SI 804 of constructing, in the current transmission slot, a Lagrange matrix 201-L or a Vandermonde matrix 201-V based on the plurality of signature roots 101, 102.
  • the method 1800 further comprises a step SI 805 of performing, in the current transmission slot, a demodulation of a multicarrier modulated signal 120 received from the transmitter device 110, based on the Lagrange matrix 201-L or the Vandermonde matrix 201-V, to obtain a demodulated signal 202.
  • the method 1800 further comprises a step SI 806 of determining, in the current transmission slot, a SINR for at least one subcarrier 121, 122 based on the demodulated signal 202 and the determined first radius 204 of the circle 205.
  • the method 1800 further comprises a step SI 807 of performing, in the current transmission slot, a first equalization on a first set of subcarriers 121 of the demodulated signal 202, the first set of subcarriers having a SINR value equal to or above a threshold value, to obtain an equalized demodulated signal 221.
  • the method 1800 further comprises a step SI 808 of performing, in the current transmission slot, a second equalization on a second set of subcarriers 122 of the multicarrier modulated signal 120 received from the transmitter device 110, the second set of subcarriers 122 having a SINR value below the threshold value, to obtain an equalized modulated signal 222.
  • the method 1800 further comprises a step SI 809 of obtaining, in the current transmission slot, an output signal 220 based on a combination of the equalized demodulated signal 221 and the equalized modulated signal 222.

Abstract

La divulgation concerne un dispositif récepteur qui, dans un intervalle de transmission actuel, détermine une pluralité de racines de signature, obtient des informations d'état de canal (CSI) prédites d'un canal de communication pour un intervalle de transmission suivant, détermine un rayon d'un cercle, et fournit un message de rétroaction à un dispositif émetteur. De plus, la divulgation concerne un autre dispositif récepteur qui, dans un intervalle de transmission actuel, détermine une pluralité de racines de signature, obtient des CSI estimées d'un canal de communication pour l'intervalle de transmission actuel, détermine le rayon d'un cercle, effectue une démodulation d'un signal modulé à porteuses multiples pour obtenir un signal démodulé, détermine un rapport signal sur brouillage plus bruit pour une sous-porteuse, effectue une première égalisation sur un premier ensemble de sous-porteuses du signal démodulé, effectue une seconde égalisation sur un second ensemble de sous-porteuses du signal modulé à porteuses multiples, et obtient un signal de sortie.
EP20718585.1A 2020-04-02 2020-04-02 Procédés et dispositifs récepteurs pour schéma de modulation à porteuses multiples Pending EP4094411A1 (fr)

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