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US 10,666,486 B2Granted
Receiver method, receiver, transmission method, transmitter, transmitter-receiver system, and communication apparatus
AssigneeRadius Inc.
InventorTohru Kohda
Life of this patent
Estimating the term…
Abstract
In accordance with an embodiment of the present invention, a method for receiving a signal, comprising the estimation step for estimating time and frequency shifts that are embedded in the received signal, to cancel-out shifts, wherein the method refers to the non-commutative shift parameter space of co-dimension 2.
Claims16
A method for receiving a signal, comprising
- receiving a signal at a receiver apparatus, and
- performing an estimation step at the receiver apparatus for estimating a time shift and a frequency shift that are embedded in the signal, wherein the estimation step refers to a non-commutative shift parameter space of co-dimension 2, and in the estimation step, the time shift and the frequency shift that are embedded in the signal are estimated with an operator including a half shift that is a shift symmetrical in time and frequency.
A receiving apparatus for receiving a signal, comprising
- a receiving circuitry for receiving a signal, and
- an estimation circuitry for estimating a time shift and a frequency shift that are embedded in the signal, with reference to a non-commutative shift parameter space of co-dimension 2, wherein the estimation circuitry estimates the time shift and the frequency shift that are embedded in the signal with use of an operator including a half shift that is a shift symmetrical in time and frequency.
A method for transmitting a signal, comprising
- performing shift step at a transmitter apparatus for time-frequency shifting the signal to be transmitted, with reference to a non-commutative shift parameter space of co-dimension 2, and in the shift step, a time and a frequency of the signal to be transmitted are shifted by a half shift that is a shift symmetrical in time and frequency, and
- transmitting the signal at the transmitter apparatus.
A transmitter apparatus for transmitting a signal, comprising
- a time-frequency shift circuitry for time-frequency shifting the signal to be transmitted, with reference to a non-commutative shift parameter space of co-dimension 2, wherein the shift circuitry shifts a time and a frequency of the signal to be transmitted with use of a half shift that is a shift symmetrical in time and frequency, and
- a transmitting circuitry for transmitting the signal.
A transmitter-receiver system, comprising:
- a transmitter apparatus;
- and
- a receiver apparatus,
- the transmitter apparatus including a time-frequency shift part for time-frequency shifting a signal to be transmitted, with reference to a non-commutative shift parameter space of co-dimension 2,
- the receiver apparatus including an estimation part for estimating a time shift and a frequency shift that are embedded in the signal to be transmitted, with reference to the non-commutative shift parameter space of co-dimension 2.
2 more elements
A method for receiving a signal, comprising
- receiving a signal at a receiver apparatus, and
- performing an estimation step at the receiver apparatus for estimating a time shift and a frequency shift that are embedded in the signal, wherein the estimation step refers to a non-commutative shift parameter space of co-dimension 2,
- wherein the non-commutative shift parameter space of co-dimension 2 is a space obtained by 3-dimensionalizing a plane, which is defined by a first axis indicative of time and a second axis indicative of frequency, by attaching, to the plane, a third axis indicative of time-frequency shifts.
A method for receiving a signal, comprising
- receiving a signal at a receiver apparatus, and
- performing an estimation step at the receiver apparatus for estimating a time shift and a frequency shift that are embedded in the signal, wherein the estimation step refers to a non-commutative shift parameter space of co-dimension 2,
- wherein the estimation step estimates the time shift and the frequency shifts that are embedded in the signal, with use of a time-frequency shift operator(TFSO) of type 1 representing an estimated time shift, frequency shift, and a phase term due to a half shift of the estimated time shift
- {circumflex over (k)}d,lμ,
- a TFSO of type 2 representing time shift, an estimated frequency shift, and a phase term due to a half shift of the estimated frequency shift
- [MFC2]
- {circumflex over (l)}D,−kσ∝f,d,
- a TFSO of type 3 representing an observable time shift to be estimated, an observable frequency shift to be estimated, and a phase term due to a half shift of the time shift to be estimated
- [MFC3]
- kd,lDd
- or a frequency dual of the TFSO of type 3
- [MFC4]
- lD,−kdf,d,
- and a TFSO of type 4 representing the estimated time shift, the estimated frequency shift, and the phase term due to the half shift of the estimated time shift
- [MFC5]
- {circumflex over (k)}d,{circumflex over (l)}Dd
- or a frequency dual of the TFSO of type 4
- [MFC6]
- {circumflex over (l)}D,−{circumflex over (k)}df,d,
- wherein
- {circumflex over (k)}d denotes an integer-valued estimate of kd,
- kd denotes time delay/shift,
- k is an integer given by
- k=j0+j′, j=[k/0], j′={k/0},
- where j and j′ are integers, and 0 denotes multiplex count,
- lμ′ is a maximum likelihood estimate (MLE) of lμ for a given {circumflex over (k)}d,
- lμ denotes an integer-valued control parameter for estimating lD,
- {circumflex over (l)}D is an integer-valued maximum likely estimate of lD,
- kσ′ is a maximum likelihood estimate of kd for a given {circumflex over (l)}D, and
- lD denotes frequency delay/shift.
27 more elements
A method for receiving a signal, comprising
- receiving a signal at a receiver apparatus, and
- performing an estimation step at the receiver apparatus for estimating a time shift and a frequency shift that are embedded in the signal, wherein the estimation step refers to a non-commutative shift parameter space of co-dimension 2,
- wherein the estimation step estimates the time shift and the frequency shift that are embedded in the signal, with use of maximum-likelihood estimate(MLE)s of frequency shift for detecting N′ time-domain(TD)-templates and MLEs of time shift for detecting N frequency-domain(FD)-templates.
A method for transmitting a signal, comprising
- performing shift step at a transmitter apparatus for time-frequency shifting the signal to be transmitted, with reference to a non-commutative shift parameter space of co-dimension 2,
- wherein the shift step generates the signal to be transmitted by phase-shift-keying(PSK)-modulating a chip pulse wave in the time domain(TD) by the TD-phase code(PC) of period N and PSK-modulating the TD-PSK modulated TD-pulse wave by the FD-PC of period N′ to generate a multicarrier version of the TD-PSK modulated TD-pulse wave, and
- transmitting the signal at a transmitter apparatus.
Dependencies are inferred from the claim text.