Method and system for down-converting an electromagnetic signal, and transforms for same, and aperture relationships
First Claim
1. A method for down-converting an electromagnetic signal, comprising the steps of:
- (1) simultaneously down-converting and performing a matched filtering/correlating operation on a portion of an initially received carrier signal, wherein said down-converting and said performing a matched filtering/correlating operation are performed in a single operation;
(2) accumulating the result of the matched filtering/correlating operation of step (1); and
(3) repeating steps (1) and (2) for additional portions of the carrier signal,wherein step (1) comprises the step of convolving an approximate half cycle of the carrier signal with a representation of itself.
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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.
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Citations
11 Claims
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1. A method for down-converting an electromagnetic signal, comprising the steps of:
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(1) simultaneously down-converting and performing a matched filtering/correlating operation on a portion of an initially received carrier signal, wherein said down-converting and said performing a matched filtering/correlating operation are performed in a single operation; (2) accumulating the result of the matched filtering/correlating operation of step (1); and (3) repeating steps (1) and (2) for additional portions of the carrier signal, wherein step (1) comprises the step of convolving an approximate half cycle of the carrier signal with a representation of itself. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11)
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Specification