System and method for detection and tracking of targets
First Claim
Patent Images
1. A method for estimating one or more samples of a cross ambiguity function of a first signal and a second signal, the method comprising:
- computing fractional Fourier transform of the first signal; and
estimating one or more samples of the cross-ambiguity function based on the computed fractional Fourier transforms of the first signal and a fractional Fourier transform of the second signal.
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Abstract
System and method for detection and tracking of targets, which in a preferred embodiment is based on the use of fractional Fourier transformation of time-domain signals to compute projections of the auto and cross ambiguity functions along arbitrary line segments. The efficient computational algorithms of the preferred embodiment are used to detect the position and estimate the velocity of signals, such as those encountered by active or passive sensor systems. Various applications of the proposed algorithm in the analysis of time-frequency domain signals are also disclosed.
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Citations
59 Claims
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1. A method for estimating one or more samples of a cross ambiguity function of a first signal and a second signal, the method comprising:
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computing fractional Fourier transform of the first signal; and
estimating one or more samples of the cross-ambiguity function based on the computed fractional Fourier transforms of the first signal and a fractional Fourier transform of the second signal. - View Dependent Claims (2, 3, 4)
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5. A signal processing method comprising:
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receiving a signal, the received signal being a reflection of a transmitted signal from at least one object;
computing a first slice of the cross-ambiguity function associated with the received signal and the transmitted signal using fractional Fourier transforms of the received and transmitted signals; and
estimating at least one property of the at least one object based on the computed slice. - View Dependent Claims (6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16)
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17. A signal processing method comprising:
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receiving a signal, the received signal being a reflection of a transmitted signal from at least one object;
computing a first slice of the cross-ambiguity function associated with the received signal and the transmitted signal using fractional Fourier transforms of the received and transmitted signals; and
estimating at least one parameter of a component of the received signal reflected from the at least one object. - View Dependent Claims (18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28)
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29. A signal processing method comprising:
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receiving a signal;
computing a first slice of the cross-ambiguity function associated with the received signal and a reference signal different from the received signal using fractional Fourier transforms of the received and reference signals; and
estimating at least one parameter of a component of the received signal. - View Dependent Claims (30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42)
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43. A signal processing system comprising:
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means for computing a slice of the cross ambiguity function associated with a received signal reflected from at least one object and a signal transmitted to the at least one objects using fractional Fourier transforms of the received and transmitted signals; and
means for estimating one or more of (a) delay of a component of the received signal reflected from one of the at least one objects;
(b) Doppler shift of a component of the received signal reflected from one of the at least one objects;
(c) distance to one of the at least one object; and
(d) radial speed of one of the at least one object;
all based on the computed slice. - View Dependent Claims (44, 45, 46, 47, 48, 49, 50, 51)
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52. A computer program product comprising:
a medium with instructions stored thereon that cause a computer system to a. receive a signal;
b. compute one or more slices of the cross ambiguity function associated with the received signal and a reference signal using fractional Fourier transforms of the received and transmitted signals; and
c. estimate one or more of (i) delay of a component of the received signal reflected from one of the at least one objects;
(ii) Doppler shift of the component of the received signal reflected from the one of the at least one objects;
(iii) distance to the one of the at least one object; and
(iv) radial speed of the one of the at least one object;
all based on the computed slice.- View Dependent Claims (53, 54, 55, 56, 57, 58, 59)
Specification