Method and system for down-converting and electromagnetic signal, and transforms for same
DC CAFCFirst Claim
1. A method for down-converting an electromagnetic signal, comprising the steps of:
- (1) performing with a finite time integrating module a finite time integrating operation on a portion of a carrier signal;
(2) accumulating the result of the finite time integrating operation of step (1); and
(3) repeating steps (1) and (2) for additional portions of the carrier signal, whereby the accumulation results form a down-converted signal.
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Abstract
Methods, systems, and apparatuses, and combinations and sub-combinations thereof, for down-converting an electromagnetic (EM) signal are described herein. Briefly stated, in embodiments the invention operates by receiving an EM signal and recursively operating on approximate half cycles (½, 1½, 2½, etc.) of the carrier signal. The recursive operations can be performed at a sub-harmonic rate of the carrier signal. The invention accumulates the results of the recursive operations and uses the accumulated results to form a down-converted signal. In an embodiment, the EM signal is down-converted to an intermediate frequency (IF) signal. In another embodiment, the EM signal is down-converted to a baseband information signal. In another embodiment, the EM signal is a frequency modulated (FM) signal, which is down-converted to a non-FM signal, such as a phase modulated (PM) signal or an amplitude modulated (AM) signal.
847 Citations
25 Claims
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1. A method for down-converting an electromagnetic signal, comprising the steps of:
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(1) performing with a finite time integrating module a finite time integrating operation on a portion of a carrier signal; (2) accumulating the result of the finite time integrating operation of step (1); and (3) repeating steps (1) and (2) for additional portions of the carrier signal, whereby the accumulation results form a down-converted signal.
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2. The method according to claim 1, wherein step (1) comprises the step of operating on an approximate half cycle of the carrier signal with a filter having an approximately rectangular impulse response and integrating the output of the filter.
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3. The method according to claim 1, wherein step (1) comprises the step of controlling a switch to pass an approximate half cycle of the carrier signal through the switch and integrating the output of the switch.
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4. The method according to claim 1, where D1 is a transform, u(t) is a step function, u(t)−
- u(t−
TA) is a windowing operator or aperture of duration TA, and A sin (φ
t N) is an approximate half cycle of the carrier signal, and wherein step (1) comprises the step of processing the approximate half cycle of the carrier signal in accordance with;
D1=∫
0TA (u(t)−
u(t−
TA))·
A sin(ω
t φ
)dt.
- u(t−
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5. The method according to claim 1, wherein step (2) comprises the step of transferring a portion of the energy contained in an approximate half cycle of the carrier signal to an energy storage device.
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6. The method according to claim 1, wherein step (2) comprises the step of transferring a portion of the energy contained in an approximate half cycle of the carrier signal to a capacitive storage device.
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7. The method according to claim 1, where E is energy, A is a constant, Si(t) is the carrier signal, A·
- Si(t) is an aperture impulse response of duration TA, and wherein step (2) comprises the step of accumulating energy from an approximate half cycle of the carrier signal in accordance with;
- Si(t) is an aperture impulse response of duration TA, and wherein step (2) comprises the step of accumulating energy from an approximate half cycle of the carrier signal in accordance with;
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8. The method according to claim 1, further comprising the step of:
(4) passing on the accumulation result of step (2) to a reconstruction filter.
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9. The method according to claim 1, further comprising the step of:
(4) passing on the accumulation result of step (2) to an interpolation fiter.
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10. The method according to claim 1, wherein step (3) comprises the step of repeating steps (1) and (2) at a sub-harmonic rate of the carrier signal.
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11. The method according to claim 1, wherein step (3) comprises the step of repeating steps (1) and (2) at an off-set of a sub-harmonic rate of the carrier signal.
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12. The method according to claim 1, further comprising the step of:
(4) performing steps (1), (2), and (3) for positive approximate half cycles of the carrier signal and for inverted negative approximate half cycles of the carrier signal.
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13. A system for down-converting an electromagnetic signal, comprising:
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a first finite time integrating module that receives an input signal, wherein said first finite time integrating module down-converts said input signal according to a first control signal and outputs a down-converted in-phase signal portion of said input signal; a second finite time integrating module that receives said input signal, wherein said second finite time integrating module down-converts said input signal according to a second control signal and outputs a down-converted inverted in-phase signal portion of said input signal, wherein said down-converted inverted in-phase signal portion is substantially equal to an inverted version of said down-converted in-phase signal portion of said input signal; and a first combiner module that combines said down-converted inverted in-phase signal portion with said down-converted in-phase signal portion and outputs a first channel down-converted signal; wherein a second control signal pulse of said second control signal occurs 1.5 cycles of a frequency of said input signal after the occurrence of a first control signal pulse of said first control signal.
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14. The system of claim 13, wherein said input signal is a RF carrier signal that is AM, FM, or PM modulated with an information signal.
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15. The system of claim 14, wherein said first channel down-converted signal is a baseband signal.
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16. The system of claim 14, wherein said first channel down-converted signal is an intermediate frequency signal.
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17. The system of claim 13, further comprising:
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a third finite time integrating module that receives said input signal, wherein said third finite time integrating module down-converts said input signal according to a third control signal and outputs a down-converted quadrature-phase signal portion of said input signal; a fourth finite time integrating module that receives said input signal, wherein said fourth finite time integrating module down-converts said input signal according to a fourth control signal and outputs a down-converted inverted quadrature-phase signal portion of said input signal; and a second combiner module that combines said down-converted inverted quadrature-phase signal portion with said down-converted quadrature-phase signal portion and outputs a second channel down-converted signal.
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18. The system of claim 17, wherein said first combiner module and said second combiner module each comprise a differential amplifier.
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19. The system of claim 17, further comprising:
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a first filter that filters said down-converted in-phase signal portion; a second filter that filters said down-converted inverted in-phase signal portion; a third filter that filters said down-converted quadrature-phase signal portion; and a fourth filter that filters said down-converted inverted quadrature-phase signal portion.
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20. The system of claim 19, wherein said first, second, third, and fourth filters each comprise a low-pass filter.
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21. The system of claim 20, wherein each said low-pass filter comprises a resistor and a capacitor.
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22. The system of claim 17, further comprising a low-noise amplifier that amplifies said input signal.
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23. The system of claim 17, wherein said input signal comprises an RF I/Q modulated signal.
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24. The system of claim 23, wherein said first channel down-converted signal comprises an I-phase information signal portion of said RF I/Q modulated signal, and wherein said second channel down-converted signal comprises a Q-phase information signal portion of said RF I/Q modulated signal.
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25. The system of claim 24,
wherein a fourth control signal pulse of said fourth control signal occurs 1.5 cycles of said frequency of said input signal after the occurrence of a third control signal pulse of said third control signal; - and
wherein said third control signal pulse occurs 0.75 cycles of said frequency of said input signal after the occurrence of said first control signal pulse.
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Specification