Method and apparatus for signal separation
First Claim
1. A method of parameterizing an input signal having a plurality of mixed baseband signals, the method comprising the steps of:
- applying a non-linear transform to an input signal, in order to eliminate carrier effects from the input signal and to produce a non-linearly transformed signal having distinct, recognizable features in a plane defined by phase modes and amplitude modes;
passing the non-linearly transformed signal through a low pass filter to produce a linear combination of data symbols and DC components;
determining the DC components, wherein the DC components have probability density functions with distinct amplitude and phase modes;
separating, using the probability density functions, a plurality of mixed baseband signals from the input signal to produce separated signals; and
coordinate transforming each of the separated signals from polar coordinates to Cartesian coordinates to produce coordinate transformed signals.
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Abstract
An embodiment of a method for parameterizing an input signal includes non-linearly transforming the input signal, removing higher order terms by passing the input signal through a low pass filter to produce a linear combination of data symbols and DC components, solving for the DC components, separating a plurality of mixed baseband signals from the input signal, and coordinate transforming each of the separated signals from polar coordinates to Cartesian coordinates. An embodiment of a receiver includes a non-linear transform operator receiving a digitized input signal and adapted to produce a linear combination of data symbols, DC components, and carrier effects; a low-pass filter for removing higher order terms; a separator unit for separating the plurality of mixed baseband signals; and a coordinate transform for converting the separated signals from polar coordinates to Cartesian coordinates.
19 Citations
20 Claims
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1. A method of parameterizing an input signal having a plurality of mixed baseband signals, the method comprising the steps of:
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applying a non-linear transform to an input signal, in order to eliminate carrier effects from the input signal and to produce a non-linearly transformed signal having distinct, recognizable features in a plane defined by phase modes and amplitude modes; passing the non-linearly transformed signal through a low pass filter to produce a linear combination of data symbols and DC components; determining the DC components, wherein the DC components have probability density functions with distinct amplitude and phase modes; separating, using the probability density functions, a plurality of mixed baseband signals from the input signal to produce separated signals; and coordinate transforming each of the separated signals from polar coordinates to Cartesian coordinates to produce coordinate transformed signals. - View Dependent Claims (2)
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3. A method of parameterizing an input signal having a plurality of mixed baseband signals, the method comprising the steps of:
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applying a non-linear transform to an input signal; passing the input signal through a low pass filter to produce a linear combination of data symbols and DC components; determining the DC components, wherein said DC component determining step is selected from performing a least squares operation, performing a null space projection, and performing a polynomial solution; separating a plurality of mixed baseband signals from the input signal to produce separated signals; and coordinate transforming each of the separated signals from polar coordinates to Cartesian coordinates to produce coordinate transformed signals. - View Dependent Claims (4, 5)
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6. A method of parameterizing an input signal having a plurality of mixed baseband signals, the method comprising the steps of:
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applying a non-linear transform to an input signal; passing the input signal through a low pass filter to produce a linear combination of data symbols and DC components; determining the DC components; separating a plurality of mixed baseband signals from the input signal to produce separated signals; coordinate transforming each of the separated signals from polar coordinates to Cartesian coordinates to produce coordinate transformed signals; and conducting cyclostationary feature detection on the coordinate transformed signals. - View Dependent Claims (11, 12)
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7. A method of recovering at least one baseband source signal from a plurality of mixed signals, the method comprising the steps of:
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down-converting and digitizing a plurality of mixed signals in an RF bandwidth; polyphase channelizing the digitized bandwidth; re-assembling the channels into an original order of an original spectrum and polyphase reconstructing the original spectrum; passing an input signal selected from the polyphase channelized signal and the polyphase reconstructed signal through a nonlinear transform and a low-pass filter to produce non-linear transformed signals, wherein the non-linear transform eliminates carrier effects from the input signal to produce a non-linearly transformed signal having distinct, recognizable features in a plane defined by phase modes and amplitude modes; determining DC components of each of the non-linear transformed signals, wherein the DC components have probability density functions with distinct amplitude and phase modes; separating, using the probability density functions, a plurality of mixed baseband signals to produce separated signals; and coordinate transforming each of the separated signals from polar coordinates to Cartesian coordinates to produce coordinate transformed signals. - View Dependent Claims (9)
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8. A method of recovering at least one baseband source signal from a plurality of mixed signals, the method comprising the steps of:
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down-converting and digitizing a plurality of mixed signals in an RF bandwidth; polyphase channelizing the digitized bandwidth; re-assembling the channels into an original order of an original spectrum and polyphase reconstructing the original spectrum; passing one of the polyphase channelized signal and the polyphase reconstructed signal through a non-linear transform and a low-pass filter; determining DC components of each of the non-linear transformed signals; separating a plurality of mixed baseband signals by performing;
x(t)=As(t)+u(t)
s(t)=[s1(t),s2(t)]T
Q(ω
)=∥
x(t)−
As(t)∥
2
s′
(t)=(AHA)−
1AHx(t)
Q(ω
)=∥
x(t)−
A(AHA)−
1AHx(t)∥
2where x(t) represents the output of the low pass filter in vector notation, u(t) represents the low pass version of noise related terms, Q(ω
) represents the cost function of a least squares approach, and s′
(t) minimizes Q(ω
); andcoordinate transforming each of the separated signals from polar coordinates to Cartesian coordinates.
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10. A method of recovering at least one baseband source signal from a plurality of mixed signals, the method comprising the steps of:
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down-converting and digitizing a plurality of mixed signals in an RF bandwidth; polyphase channelizing the digitized bandwidth; re-assembling the channels into an original order of an original spectrum and polyphase reconstructing the original spectrum; passing one of the polyphase channelized signal and the polyphase reconstructed signal through a non-linear transform and a low-pass filter; determining DC components of each of the non-linear transformed signals, wherein said DC component determining step is selected from performing a least squares operator, performing a null space projection, and performing a polynomial solution; separating a plurality of mixed baseband signals to produce separated signals; and coordinate transforming each of the separated signals from polar coordinates to Cartesian coordinates to produce coordinate transformed signals.
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13. A method of recovering at least one baseband source signal from a plurality of mixed signals, the method comprising the steps of:
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down-converting and digitizing a plurality of mixed signals in an RF bandwidth; polyphase channelizing the digitized bandwidth; re-assembling the channels into an original order of an original spectrum and polyphase reconstructing the original spectrum; passing one of the polyphase channelized signal and the polyphase reconstructed signal through a non-linear transform and a low-pass filter; determining DC components of each of the non-linear transformed signals; separating a plurality of mixed baseband signals to produce separated signals; and coordinate transforming each of the separated signals from polar coordinates to Cartesian coordinates to produce coordinate transformed signals; and conducting cyclostationary feature detection on the coordinate transformed signals.
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14. A digital radio receiver comprising:
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a channel transformer adapted to polyphase channelize a communications signal, re-assemble the channels into contiguous channels, and polyphase reconstruct the original transmission spectrum; a non-linear transform operator adapted to receive one of the polyphase channelized signal and the polyphase reconstructed signal from said channel transformer and adapted to produce a linear combination of data symbols, and DC components; a low-pass filter connected to said non-linear transform operator for producing a linear combination of data symbols and DC components; a first signal separator connected to said low-pass filter and adapted to separate a plurality of mixed baseband signals; a coordinate transform operator connected to said first signal separator and adapted to transform the separated signals from polar coordinates to Cartesian coordinates to produce coordinate transformed signals; and a second signal separator connected to said coordinate transform operator and adapted for signal separation of the coordinate transformed signals. - View Dependent Claims (18, 19, 20)
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15. A spread spectrum receiver comprising:
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a channel transformer adapted to polyphase channelize a communications signal, re-assemble the channels into contiguous channels, and polyphase reconstruct the original transmission spectrum; a non-linear transform operator adapted to receive one of the polyphase channelized signal and the polyphase reconstructed signal from said channel transformer and adapted to produce a linear combination of data symbols, and DC components; a low-pass filter connected to said non-linear transform operator for producing a linear combination of data symbols and DC components; a first signal separator connected to said low-pass filter and adapted to separate a plurality of mixed baseband signals; a coordinate transform operator connected to said first signal separator and adapted to transform the separated signals from polar coordinates to Cartesian coordinates; and a second signal separator connected to said coordinate transform operator and adapted for signal separation of the separated signals from said coordinate transform operator. - View Dependent Claims (16, 17)
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Specification