Claims Analysis
Total Claims: 28
Claim 1
Independent Claim
270 words
A method for improving ISAR imaging radar signal processing to compensate for range migration effects in the ISAR signal from a moving reflector, comprising the steps of: measuring the sampled return, f(ξ i , t.sub.κ) where i is the range bin index of the ISAR signal and κ is the ISAR signal PRI index, according to the formula, ##EQU23## for i=0, 1, . . . , N-1, κ=0, 1, . . . , M-1, and h representing a point source of the reflector; resampling said return according to the formula ##EQU24## for i=0, 1, . . . , N-1; and κ=0, 1, . . . , M-1, for positive doppler frequency shift cells, 0<s≦M/2-1, and computing the ISAR image from said cell compensations according to the formula ##EQU25## for i=0, 1, . . . , N-1; and resampling said return according to the formula ##EQU26## for i=0, 1, . . . , N-1; and κ=0, 1, . . . , M-1, for negative doppler frequency shift cells, M/2≦s≦M-1, and computing the ISAR image from said cell compensations according to the formula ##EQU27## for i=0, 1, . . . , N-1; where: ξ is the wave coordinate variable t=time D is the initial displacement between the reference reflector and the arbitrary reflector s is n integer variable indexing discrete speed κ indexes the pulse number within the aperture λ is the wave length of the radar signal c is the speed of wave propagation i indexes the sample number within one pulse return P(ξ) is the complex envelope of the transmitted pulse P'(ξ i ) is a sampled version of P(ξ).
Claim 2
Independent Claim
270 words
A method for improving ISAR imaging radar signal processing to compensate for range migration effects in the ISAR signal from a moving reflector, comprising the steps of: measuring the sampled return, f(ξ i , t.sub.κ) where i is the range bin index of the ISAR signal and κ is the ISAR signal PRI index, according to the formula, ##EQU23## for i=0, 1, . . . , N-1, κ=0, 1, . . . , M-1, and h representing a point source of the reflector; resampling said return according to the formula ##EQU24## for i=0, 1, . . . , N-1; and κ=0, 1, . . . , M-1, for positive doppler frequency shift cells, 0<s≦M/2-1, and computing the ISAR image from said cell compensations according to the formula ##EQU25## for i=0, 1, . . . , N-1; and resampling said return according to the formula ##EQU26## for i=0, 1, . . . , N-1; and κ=0, 1, . . . , M-1, for negative doppler frequency shift cells, M/2≦s≦M-1, and computing the ISAR image from said cell compensations according to the formula ##EQU27## for i=0, 1, . . . , N-1; where: ξ is the wave coordinate variable t=time D is the initial displacement between the reference reflector and the arbitrary reflector s is n integer variable indexing discrete speed κ indexes the pulse number within the aperture λ is the wave length of the radar signal c is the speed of wave propagation i indexes the sample number within one pulse return P(ξ) is the complex envelope of the transmitted pulse P'(ξ i ) is a sampled version of P(ξ).
Claim 3
Independent Claim
105 words
A method for removing range migration effects from an inverse synthetic aperture radar image of a moving object, comprising the steps: (a) generating a synthetic aperture radar image in the zero doppler cells of the object by summing a plurality of imaging synthetic aperture radar data points from the object; (b) compensating each of said data points by a factor representing the effect of non-zero doppler frequency shift on said data points; (c) compensating said generating synthetic aperture radar image for non-zero doppler frequency shift from the object using said compensating data points, thereby removing from said synthetic aperture radar image said range migration effects.
Claim 4
Independent Claim
105 words
A method for removing range migration effects from an inverse synthetic aperture radar image of a moving object, comprising the steps: (a) generating a synthetic aperture radar image in the zero doppler cells of the object by summing a plurality of imaging synthetic aperture radar data points from the object; (b) compensating each of said data points by a factor representing the effect of non-zero doppler frequency shift on said data points; (c) compensating said generating synthetic aperture radar image for non-zero doppler frequency shift from the object using said compensating data points, thereby removing from said synthetic aperture radar image said range migration effects.
Claim 5
Dependent Claim
135 words
The method of claim 2, wherein said data points represent IQ data according to the following expression ##EQU28## for i=0, 1, . . . , N-1, and κ=0, 1, . . . , M-1, for each i-th range bin index of a synthetic aperture radar system and each k-th pulse repetition index of said system; where: ξ is the wave coordinate variable t=time D is the initial displacement between the reference reflector and the arbitrary reflector s is n integer variable indexing discrete speed κ indexes the pulse number within the aperture λ is the wave length of the radar signal c is the speed of wave propagation i indexes the sample number within one pulse return P(ξ) is the complex envelope of the transmitted pulse P'(ξ i ) is a sampled version of P(ξ).
Claim 6
Dependent Claim
23 words
The method of claim 2, wherein said image is formed according to the formula, ##EQU29## for i=0, 1, . . . , N-1.
Claim 7
Dependent Claim
45 words
The method of claim 2, wherein said compensation step compensates for the effect of non-zero doppler frequency shift according to the formula, ##EQU30## for i=0, 1, . . . , N-1; κ=0, 1, . . . , M-1, for positive doppler frequency cells, for 0<s≦M/2-1.
Claim 8
Dependent Claim
41 words
The method of claim 5, wherein said data point compensating step compensates said data according to the formula ##EQU31## for i=0, 1, . . . , N-1, and κ=0, 1, . . . M-1, for negative doppler frequency cells, for M/2≦s≦M-1.
Claim 9
Dependent Claim
27 words
The method of claim 5, wherein said image compensation compensates said image according to the ##EQU32## for for i=0, 1, . . . , N-1, and 0<s≦M/2-1.
Claim 10
Dependent Claim
42 words
The method of claim 2, wherein said data point compensating step compensates said data according to the formula ##EQU33## for i=0, 1, . . . , N-1, and κ=0, 1, . . . , M-1, for negative doppler frequency cells, for M/2≦s≦M-1.
Claim 11
Dependent Claim
27 words
The method of claim 8, wherein said image compensation compensates said image according to the formula ##EQU34## for i=0, 1, . . . , N-1, and M/2≦s≦M-1.
Claim 12
Dependent Claim
17 words
The method of claim 7, wherein said image compensation compensates said image according to the formula ##EQU35##
Claim 13
Dependent Claim
30 words
The method of claim 2, wherein each of said data points is grouped in to a plurality of data point bands for simplifying computational complexity of compensating said data points.
Claim 14
Dependent Claim
30 words
The method of claim 7, wherein each of said data points is grouped in to a plurality of data point bands for simplifying computational complexity of compensating said data points.
Claim 15
Dependent Claim
30 words
The method of claim 10, wherein each of said data points is grouped in to a plurality of data point bands for simplifying computational complexity of compensating said data points.
Claim 16
Dependent Claim
106 words
An improved ISAR system for removing range migration effects from an ISAR image from a moving object, comprising circuitry for generating a synthetic aperture radar image without regard for doppler frequency shift of the object by summing a plurality of imaging synthetic aperture radar points from the object; circuitry for compensating each of said data points by a factor representing the effect of non-zero doppler frequency shift on said data points and; circuitry for compensating said generated synthetic aperture radar image for non-zero doppler frequency shift from the object using said compensated data points, thereby removing from said synthetic aperture radar image said range migration effects.
Claim 17
Dependent Claim
106 words
An improved ISAR system for removing range migration effects from an ISAR image from a moving object, comprising circuitry for generating a synthetic aperture radar image without regard for doppler frequency shift of the object by summing a plurality of imaging synthetic aperture radar points from the object; circuitry for compensating each of said data points by a factor representing the effect of non-zero doppler frequency shift on said data points and; circuitry for compensating said generated synthetic aperture radar image for non-zero doppler frequency shift from the object using said compensated data points, thereby removing from said synthetic aperture radar image said range migration effects.
Claim 18
Dependent Claim
122 words
The system of claim 14, further comprising circuitry for generating IQ data according to the formula, ##EQU36## for i=0, 1, . . . , N-1, κ=0, 1, . . . , M-1, and h representing a point source of the moving object; where: ξ is the wave coordinate variable t=time D is the initial displacement between the reference reflector and the arbitrary reflector s is n integer variable indexing discrete speed κ indexes the pulse number within the aperture λ is the wave length of the radar signal c is the speed of wave propagation i indexes the sample number within one pulse return P(ξ) is the complex envelope of the transmitted pulse P(ξ i ) is a sampled version of P(ξ).
Claim 19
Dependent Claim
28 words
The system of claim 14, further comprising circuitry for generating said synthetic aperture radar image according to the formula: ##EQU37## for i=0, 1, . . . , N-1.
Claim 20
Dependent Claim
40 words
The system of claim 14, further comprising circuitry for compensating said data points according to the formula, ##EQU38## for i=0, 1, . . . , N-1; κ=0, 1, . . . , M-1, for positive doppler frequency cells, with 0<s≦M/2-1.
Claim 21
Dependent Claim
41 words
The system of claim 14, further comprising circuitry for compensating said data points according to the formula, ##EQU39## for i=0, 1, . . . , N-1, and κ=0, 1, . . . , M-1, for negative doppler frequency cells, for M/2≦s≦M-1.
Claim 22
Dependent Claim
41 words
The system of claim 17, further comprising circuitry for compensating said data points according to the formula: ##EQU40## for i=0, 1, . . . , N-1, and κ=0, 1, . . . , M-1, for negative doppler frequency cells, with M/2≦s≦M-1.
Claim 23
Dependent Claim
32 words
The system of claim 17, further comprising circuitry for compensating said generated synthetic aperture radar image according to the following formula, ##EQU41## for i=0, 1, . . . , N-1, and 0<s≦M/2-1.
Claim 24
Dependent Claim
31 words
The system of claim 18, further comprising circuitry for compensating said generated synthetic aperture radar image according to the following formula, ##EQU42## for i=0, 1, . . . , N-1, M/2≦s≦M-1.
Claim 25
Dependent Claim
32 words
The system of claim 19, further comprising circuitry for compensating said generated synthetic aperture radar image according to the following formula, ##EQU43## for i=0, 1, . . . , N-1, and M/2≦s≦M-.
Claim 26
Dependent Claim
29 words
The system of claim 14, further comprising circuitry for grouping a plurality of said data points into bands of data points for computational simplicity of said data point compensations.
Claim 27
Dependent Claim
29 words
The system of claim 15, further comprising circuitry for grouping a plurality of said data points into bands of data points for computational simplicity of said data point compensations.
Claim 28
Dependent Claim
29 words
The system of claim 19, further comprising circuitry for grouping a plurality of said data points into bands of data points for computational simplicity of said data point compensations.