US3646337A
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Apparatus for processing angular data
Assignee: NAI Technologies Inc
•
Filing: 1969-09-29
•
Granted: 1972-02-29
•
Expires: 1989-09-29
Abstract
Abstract Resolver apparatus is disclosed employing a system which receives resolver inputs Rsin theta and Rcos theta and is adjusted according to coarse and fine processor angles Alpha c and Alpha f to achieve a measurement of, or facilitate operations on, the resolver input angle theta . The apparatus employs two computing channels, one for each resolver input, a function generator circuit for developing tangent (or cotangent) functions of Alpha c, a linear interpolator in one of the channels, and circuits interconnecting the channels so that the signals ultimately developed in the channels bear a relationship which permits one of them to be linearly interpolated as a function of Alpha f while maintaining an interpolating angle error characteristic which is small and independent of Alpha c. A simple passive compensating technique may be employed to take advantage of this characteristic to produce a highly accurate response. Three of the embodiments employ tapped and switched dividers to generate the tangent functions while a fourth exploits those values of Alpha c which reduce the tangent functions to zero of unity, thereby permitting the use of simple combining circuits for function generation.
Inventors
- 👤 Harry P Bifulco Jr
Bibliographic Details
Application Number
—
Jurisdiction
US
Data Source
google_patents
Last Synchronized
2026-10-24 17:13
CPC Classifications
G; G06; G06G; G06G7/00; G06G7/12; G06G7/30; G06G7/22; H; H03; H03M; H03M1/00; H03M1/12; H03M1/48; H03M1/485
Claims Analysis
Total Claims: 148
Claim 1
Independent Claim
165 words
Apparatus for processing signal inputs representing angular data theta comprising: 1. means for generating representations of coarse processor angle Alpha c, 2. means generating tangent-type functions and connected to be controlled by said coarse angle generating means for generating tangent-type functions of said coarse angle, 3. a first signal computing circuit interconnecting said inputs and function generating means for processing said inputs and generated functions to generate a first signal, 4. a second signal computing circuit interconnecting said inputs and function generating means for processing said inputs and generated functions to generate a second signal, 5. means for generating representations of fine processor angle Alpha f, 6. interpolating means connected to said first signal computing circuit and said fine angle generating means for interpolating said first signal as a function of fine angle Alpha f to develop a third signal, and 7. means combining said second and third signals to derive an output indicative of the relationship between theta , Alpha c and Alpha f.
Claim 2
Dependent Claim
165 words
Apparatus for processing signal inputs representing angular data theta comprising: 1. means for generating representations of coarse processor angle Alpha c, 2. means generating tangent-type functions and connected to be controlled by said coarse angle generating means for generating tangent-type functions of said coarse angle, 3. a first signal computing circuit interconnecting said inputs and function generating means for processing said inputs and generated functions to generate a first signal, 4. a second signal computing circuit interconnecting said inputs and function generating means for processing said inputs and generated functions to generate a second signal, 5. means for generating representations of fine processor angle Alpha f, 6. interpolating means connected to said first signal computing circuit and said fine angle generating means for interpolating said first signal as a function of fine angle Alpha f to develop a third signal, and 7. means combining said second and third signals to derive an output indicative of the relationship between theta , Alpha c and Alpha f.
Claim 3
Dependent Claim
37 words
switching means controlled by the functions tan Alpha c and cotan Alpha c at 45* intervals of Alpha for selectively coupling combinations of said signals f1 ( theta ), f2 ( theta ) to said summing means,
Claim 4
Dependent Claim
37 words
switching means controlled by the functions tan Alpha c and cotan Alpha c at 45* intervals of Alpha for selectively coupling combinations of said signals f1 ( theta ), f2 ( theta ) to said summing means,
Claim 5
Dependent Claim
10 words
fine angle generating means for generating representations of Alpha f,
Claim 6
Dependent Claim
10 words
fine angle generating means for generating representations of Alpha f,
Claim 7
Dependent Claim
23 words
means generating tangent-type functions and connected to be controlled by said coarse angle generating means for generating tangent-type functions of said coarse angle,
Claim 8
Dependent Claim
23 words
means generating tangent-type functions and connected to be controlled by said coarse angle generating means for generating tangent-type functions of said coarse angle,
Claim 9
Dependent Claim
45 words
constant means interconnecting said function generating means and said inputs to derive first and second signals representing factors (sin(D- Delta Alpha ) + sin Delta Alpha ) and sin Delta Alpha , respectively, where D is a constant and Delta Alpha theta - Alpha c,
Claim 10
Dependent Claim
45 words
constant means interconnecting said function generating means and said inputs to derive first and second signals representing factors (sin(D- Delta Alpha ) + sin Delta Alpha ) and sin Delta Alpha , respectively, where D is a constant and Delta Alpha theta - Alpha c,
Claim 11
Dependent Claim
48 words
Apparatus as defined in claim 1 in which said interpolating means include a linear interpolator, said first signal is nonlinear, and wherein said first signal bears a relationship to said second signal such that interpolating errors are independent of the adjusted setting of said coarse angle generating means.
Claim 12
Dependent Claim
23 words
means generating tangent-type functions and connected to be controlled by said coarse angle generating means for generating tangent-type functions of said coarse angle,
Claim 13
Dependent Claim
23 words
means generating tangent-type functions and connected to be controlled by said coarse angle generating means for generating tangent-type functions of said coarse angle,
Claim 14
Dependent Claim
35 words
computing means for processing said input signals by said tangent function generating means to generate two signals the ratio of which is a function of ( theta - Alpha c) but independent of Alpha c,
Claim 15
Dependent Claim
35 words
computing means for processing said input signals by said tangent function generating means to generate two signals the ratio of which is a function of ( theta - Alpha c) but independent of Alpha c,
Claim 16
Dependent Claim
16 words
linearly interpolating said modified signal as a function of a fine processor angle Alpha f, and
Claim 17
Dependent Claim
16 words
linearly interpolating said modified signal as a function of a fine processor angle Alpha f, and
Claim 18
Dependent Claim
10 words
fine angle generating means for generating representations of Alpha f,
Claim 19
Dependent Claim
10 words
fine angle generating means for generating representations of Alpha f,
Claim 20
Dependent Claim
25 words
first tangent function generating means controlled by said coarse angle generating means and connected to respond to said cosine signal to derive a first signal,
Claim 21
Dependent Claim
25 words
first tangent function generating means controlled by said coarse angle generating means and connected to respond to said cosine signal to derive a first signal,
Claim 22
Dependent Claim
20 words
tangent function generating means adjusted by said coarse angle generating means for computing tangent Alpha c and cotangent Alpha c,
Claim 23
Dependent Claim
20 words
tangent function generating means adjusted by said coarse angle generating means for computing tangent Alpha c and cotangent Alpha c,
Claim 24
Dependent Claim
16 words
interpolating means connected to interpolate said first derived signal as a function of Alpha f, and
Claim 25
Dependent Claim
16 words
interpolating means connected to interpolate said first derived signal as a function of Alpha f, and
Claim 26
Dependent Claim
24 words
a first signal computing circuit interconnecting said inputs and function generating means for processing said inputs and generated functions to generate a first signal,
Claim 27
Dependent Claim
24 words
a first signal computing circuit interconnecting said inputs and function generating means for processing said inputs and generated functions to generate a first signal,
Claim 28
Dependent Claim
7 words
means for interpolating said first signal, and
Claim 29
Dependent Claim
7 words
means for interpolating said first signal, and
Claim 30
Dependent Claim
34 words
Apparatus as defined in claim 2 in which said relationship is such that Alpha f varies as a function of tan( theta - Alpha c) over at least a portion of the interpolating interval.
Claim 31
Dependent Claim
12 words
combining said interpolated signal and said other signal to derive said data.
Claim 32
Dependent Claim
12 words
combining said interpolated signal and said other signal to derive said data.
Claim 33
Dependent Claim
17 words
interpolating means controlled by a representation of Alpha f for interpolating one of said computed signals, and
Claim 34
Dependent Claim
17 words
interpolating means controlled by a representation of Alpha f for interpolating one of said computed signals, and
Claim 35
Dependent Claim
17 words
a first signal computing circuit interconnecting said input and function generating means for computing a first signal,
Claim 36
Dependent Claim
17 words
a first signal computing circuit interconnecting said input and function generating means for computing a first signal,
Claim 37
Dependent Claim
31 words
switching means controlled by said coarse angle generating means for alternatively coupling said cosine and sine signals to said tangent function generating means and for deriving first and second signals therefrom,
Claim 38
Dependent Claim
31 words
switching means controlled by said coarse angle generating means for alternatively coupling said cosine and sine signals to said tangent function generating means and for deriving first and second signals therefrom,
Claim 39
Dependent Claim
25 words
means jointly responsive to said other computed signal and said interpolate signal for deriving an output indicative of the relationship between Alpha and theta .
Claim 40
Dependent Claim
25 words
means jointly responsive to said other computed signal and said interpolate signal for deriving an output indicative of the relationship between Alpha and theta .
Claim 41
Dependent Claim
48 words
Apparatus as defined in claim 1 including switching means in said first and second signal computing circuits connected to be controlled by said coarse angle generating means to vary the interconnection of said inputs and function generating means in dependence on the adjusted value of said coarse angle.
Claim 42
Dependent Claim
13 words
means combining said interpolated signal and said second signal for computing said relationship.
Claim 43
Dependent Claim
13 words
means combining said interpolated signal and said second signal for computing said relationship.
Claim 44
Dependent Claim
24 words
a second signal computing circuit interconnecting said inputs and function generating means for processing said inputs and generated functions to generate a second signal,
Claim 45
Dependent Claim
24 words
a second signal computing circuit interconnecting said inputs and function generating means for processing said inputs and generated functions to generate a second signal,
Claim 46
Dependent Claim
14 words
means combining said interpolated signal and said second derived signal for computing said relationships.
Claim 47
Dependent Claim
14 words
means combining said interpolated signal and said second derived signal for computing said relationships.
Claim 48
Dependent Claim
17 words
a second signal computing circuit interconnecting said input and function generating means for computing a second signal,
Claim 49
Dependent Claim
17 words
a second signal computing circuit interconnecting said input and function generating means for computing a second signal,
Claim 50
Dependent Claim
25 words
second tangent function generating means controlled by said coarse angle generating means and connected to respond to said sine signal to derive a second signal,
Claim 51
Dependent Claim
25 words
second tangent function generating means controlled by said coarse angle generating means and connected to respond to said sine signal to derive a second signal,
Claim 52
Dependent Claim
18 words
first combining means for combining said first signal with said sine signal to derive a first computation signal,
Claim 53
Dependent Claim
18 words
first combining means for combining said first signal with said sine signal to derive a first computation signal,
Claim 54
Dependent Claim
10 words
means for generating representations of fine processor angle Alpha f,
Claim 55
Dependent Claim
10 words
means for generating representations of fine processor angle Alpha f,
Claim 56
Dependent Claim
20 words
Apparatus as defined in claim 1 in which said first and second computing circuits include means for producing bidirectional interpolation.
Claim 57
Dependent Claim
21 words
first combining means for combining said first signal with said sine and cosine signals alternatively, to derive a first computation signal,
Claim 58
Dependent Claim
21 words
first combining means for combining said first signal with said sine and cosine signals alternatively, to derive a first computation signal,
Claim 59
Dependent Claim
10 words
means for generating representations of fine processor angle Alpha f,
Claim 60
Dependent Claim
10 words
means for generating representations of fine processor angle Alpha f,
Claim 61
Dependent Claim
34 words
interpolating means connected to said first signal computing circuit and said fine angle generating means for interpolating said first signal as a function of fine angle Alpha f to develop a third signal, and
Claim 62
Dependent Claim
34 words
interpolating means connected to said first signal computing circuit and said fine angle generating means for interpolating said first signal as a function of fine angle Alpha f to develop a third signal, and
Claim 63
Dependent Claim
25 words
second combining means for combining said second signal with said sine and cosine signals alternatively and with a signal derived from said first combining means,
Claim 64
Dependent Claim
25 words
second combining means for combining said second signal with said sine and cosine signals alternatively and with a signal derived from said first combining means,
Claim 65
Dependent Claim
18 words
second combining means for combining said second signal with said cosine signal to derive a second computation signal,
Claim 66
Dependent Claim
18 words
second combining means for combining said second signal with said cosine signal to derive a second computation signal,
Claim 67
Dependent Claim
29 words
Apparatus as defined in claim 1 including means responsive to said combining means for signalling the sum of the adjusted values of said coarse and fine angle generating means.
Claim 68
Dependent Claim
34 words
interpolating means connected to said first signal computing circuit and said fine angle generating means for interpolating said first signal as a function of fine angle Alpha f to develop a third signal, and
Claim 69
Dependent Claim
34 words
interpolating means connected to said first signal computing circuit and said fine angle generating means for interpolating said first signal as a function of fine angle Alpha f to develop a third signal, and
Claim 70
Dependent Claim
23 words
means combining said second and third signals to derive an output indicative of the relationship between theta , Alpha c and Alpha f.
Claim 71
Dependent Claim
23 words
means combining said second and third signals to derive an output indicative of the relationship between theta , Alpha c and Alpha f.
Claim 72
Dependent Claim
36 words
Apparatus as defined in claim 1 in which said first and second signals each include the factor 1/cosine Alpha c for one range of Alpha c, and 1/sin Alpha c for another range of Alpha c.
Claim 73
Dependent Claim
28 words
interpolating means coupled to said fine angle generating means and including a linear interpolator connected to interpolate one of said computation signals to drive an interpolated signal, and
Claim 74
Dependent Claim
28 words
interpolating means coupled to said fine angle generating means and including a linear interpolator connected to interpolate one of said computation signals to drive an interpolated signal, and
Claim 75
Dependent Claim
22 words
means combining said second and third signals to derive an output indicative of the relationship between R, Alpha c and Alpha f.
Claim 76
Dependent Claim
22 words
means combining said second and third signals to derive an output indicative of the relationship between R, Alpha c and Alpha f.
Claim 77
Dependent Claim
24 words
means for modifying the signal derived in said second combining means as a function of cosine Alpha c to derive a second computation signal,
Claim 78
Dependent Claim
24 words
means for modifying the signal derived in said second combining means as a function of cosine Alpha c to derive a second computation signal,
Claim 79
Dependent Claim
26 words
Apparatus as defined in claim 1 in which said first and second signals each include representations of a trigonometric function of ( theta - Alpha c).
Claim 80
Dependent Claim
21 words
detecting means for combining the other computation signal and said interpolated signal to detect the relationship between theta and Alpha .
Claim 81
Dependent Claim
21 words
detecting means for combining the other computation signal and said interpolated signal to detect the relationship between theta and Alpha .
Claim 82
Dependent Claim
24 words
means including a linear interpolator controlled by said fine angle generating means for interpolating said second computation signal to derive an interpolated signal, and
Claim 83
Dependent Claim
24 words
means including a linear interpolator controlled by said fine angle generating means for interpolating said second computation signal to derive an interpolated signal, and
Claim 84
Dependent Claim
24 words
Apparatus as defined in claim 1 in which the increments of said coarse angle are greater than the operating range of said interpolating means.
Claim 85
Dependent Claim
18 words
detection means responsive to said first and interpolated signals to detect the relationship between theta and Alpha .
Claim 86
Dependent Claim
18 words
detection means responsive to said first and interpolated signals to detect the relationship between theta and Alpha .
Claim 87
Dependent Claim
33 words
Apparatus for computing the relationship between angular data theta represented by two input signals, and processor angle data Alpha represented as coarse and fine component angles, Alpha c and Alpha f, respectively comprising:
Claim 88
Dependent Claim
33 words
Apparatus for computing the relationship between angular data theta represented by two input signals, and processor angle data Alpha represented as coarse and fine component angles, Alpha c and Alpha f, respectively comprising:
Claim 89
Dependent Claim
42 words
Apparatus as defined in claim 10 in which both of said computed signals are dependent in one operating range on 1/cosine Alpha c and in another range on 1/sin Alpha c but their ratio in any range is independent of Alpha c.
Claim 90
Dependent Claim
40 words
Apparatus as defined in claim 10 in which said function generating means include tap selection means operable to select tangent functions at taps of said divider means through certain octants and cotangent functions at said same taps in other octants.
Claim 91
Dependent Claim
29 words
Apparatus as defined in claim 10 including means operable at 45* intervals of Alpha c to vary the combining of said tangent function generating means and said input signals.
Claim 92
Dependent Claim
25 words
Apparatus as defined in claim 10 in which one of said computed signals is a function of the sine of ( theta - Alpha c).
Claim 93
Dependent Claim
24 words
Apparatus as defined in claim 10 in which said function generating means include signal tap selection means controlled by said coarse angle Alpha c.
Claim 94
Dependent Claim
31 words
Apparatus for computing relationships between angular data theta represented by two input signals, and processor angle data Alpha represented by coarse and fine components Alpha c and Alpha f, respectively, comprising:
Claim 95
Dependent Claim
31 words
Apparatus for computing relationships between angular data theta represented by two input signals, and processor angle data Alpha represented by coarse and fine components Alpha c and Alpha f, respectively, comprising:
Claim 96
Dependent Claim
26 words
Apparatus as defined in claim 16 in which said first and second signals both also represent alternatively the factors 1/cos Alpha c, and 1/sin Alpha c.
Claim 97
Dependent Claim
46 words
Apparatus as defined in claim 16 in which said first and second signals represent the factors (sin(D- Delta Alpha ) + sin Delta Alpha )/f( Alpha c) and sin Delta Alpha /f( Alpha c), respectively, where f( Alpha 2) is a trigonometric function of Alpha c.
Claim 98
Dependent Claim
52 words
Apparatus as defined in claim 16 in which said combining means comprises mean for summing said first and second signals such that when Alpha c and Alpha f are adjusted to null said first and second signals, then Alpha f is proportional to when the effect of interpolation error correction is excluded.
Claim 99
Dependent Claim
16 words
Apparatus according to claim 16 including means for modifying said first signal by said second signal.
Claim 100
Dependent Claim
39 words
Apparatus for computing relationships between angular date theta represented by signals f1 ( theta ) anD f2 ( theta ), and processor angle data Alpha represented by coarse and fine processor angles Alpha c and Alpha f, respectively, comprising:
Claim 101
Dependent Claim
39 words
Apparatus for computing relationships between angular date theta represented by signals f1 ( theta ) anD f2 ( theta ), and processor angle data Alpha represented by coarse and fine processor angles Alpha c and Alpha f, respectively, comprising:
Claim 102
Dependent Claim
42 words
Apparatus as defined in claim 21 in which said interpolating means include a linear interpolator and in which the relationship between said first and second derived signals yields an interpolation error characteristic which is independent of the adjusted value of Alpha c.
Claim 103
Dependent Claim
24 words
Apparatus as defined in claim 22 including means for modifying said first derived signal by said second derived signal for improving said error characteristic.
Claim 104
Dependent Claim
18 words
Apparatus as defined in claim 22 including means coupled to said linear interpolator for compensating said error characteristic.
Claim 105
Dependent Claim
22 words
Apparatus as defined in claim 21 in which the interpolation interval is different from the coarse angle interval and interpolation is bidirectional.
Claim 106
Dependent Claim
27 words
Apparatus as defined in claim 21 in which said first and second derived signals represent factors including sin Delta Alpha where Delta Alpha theta - Alpha c.
Claim 107
Dependent Claim
42 words
Apparatus as defined in claim 21 in which said first and second derived signals represent factors including and sin Delta Alpha /f( Alpha c), respectively, D being a constant and f( Alpha c) being alternatively cos Alpha c and sin Alpha c.
Claim 108
Dependent Claim
48 words
Apparatus as defined in claim 21 in which said interpolating means comprise a linear interpolator and wherein for the adjusted values of Alpha c and Alpha f, the value of Alpha f is proportional to where D is the interpolating interval and Delta Alpha theta - Alpha c.
Claim 109
Dependent Claim
26 words
Apparatus as defined in claim 21 including means for automatically adjusting said switching means and interpolating means in accordance with the output of said combining means.
Claim 110
Dependent Claim
30 words
Apparatus as defined in claim 29 in which said automatic adjustment means include a variable frequency oscillator, the frequency of which is controlled by the output of said combining means.
Claim 111
Dependent Claim
36 words
The process of deriving data from input signals representing angle theta without the need for computation elements for generating functions having values other than zero or unity ( + or - 1) comprising the steps of:
Claim 112
Dependent Claim
36 words
The process of deriving data from input signals representing angle theta without the need for computation elements for generating functions having values other than zero or unity ( + or - 1) comprising the steps of:
Claim 113
Dependent Claim
30 words
The process as defined in claim 31 in which said two signals are generated such that the interpolation error is independent of the adjusted value of said coarse processor angle.
Claim 114
Dependent Claim
18 words
The process as defined in claim 31 in which said signal generation consists essentially of summation and inversion.
Claim 115
Dependent Claim
38 words
The process as defined in claim 31 in which one of said generated signals is modified to control the interpolation interval and in which said interpolation interval is less than the interval between said coarse processor angle values.
Claim 116
Dependent Claim
19 words
The process As defined in claim 31 in which said generated signals are combined to establish a null condition.
Claim 117
Dependent Claim
17 words
The process as defined in claim 31 in which said interpolated signal is compensated for interpolation errors.
Claim 118
Dependent Claim
36 words
The process as defined in claim 31 in which said two signals are generated such that each includes the factor 1/cos Alpha c for certain values of Alpha c and 1/sin Alpha c for other values.
Claim 119
Dependent Claim
30 words
The process as defined in claim 31 in which said two signals are generated such that each includes the factor sine Delta Alpha where Delta Alpha theta - Alpha c.
Claim 120
Dependent Claim
33 words
The process as defined in claim 21 in which said two signals are generated and interpolated such that, when equal where Delta Alpha theta - Alpha c and D is the interpolation interval.
Claim 121
Dependent Claim
39 words
Bridge apparatus for processing angular data represented by sine and cosine signals RSin theta and RCos theta , to derive related processor angle data Alpha , represented by coarse and fine processor angles Alpha c and Alpha f, comprising:
Claim 122
Dependent Claim
39 words
Bridge apparatus for processing angular data represented by sine and cosine signals RSin theta and RCos theta , to derive related processor angle data Alpha , represented by coarse and fine processor angles Alpha c and Alpha f, comprising:
Claim 123
Dependent Claim
28 words
Apparatus as defined in claim 40 in which said tangent function generating means comprise a tapped divider having tap selection means for supplying said first and second signals.
Claim 124
Dependent Claim
18 words
Apparatus as defined in claim 40 in which said first and second combining means each comprise transformer means.
Claim 125
Dependent Claim
39 words
Apparatus as defined in claim 40 in which said second combining means and modifying means comprise the primary and tapped secondary of transformer means, respectively, the latter also including tap selection means controlled by said coarse angle generating means.
Claim 126
Dependent Claim
44 words
Apparatus as defined in claim 40 in which said first and second signals, for certain values of Alpha c, are proportional respectively to RCos theta Tan Alpha c and RCos theta Tan ( Alpha c+D) where D is the interval between coarse angle values.
Claim 127
Dependent Claim
41 words
Apparatus as defined in claim 40 in which said first and second computation signals respectively include representations of the factors RSin( Delta Alpha ) and R(Sin (D- Alpha Delta ) +Sin Delta Alpha ), where Delta Alpha theta - Alpha c.
Claim 128
Dependent Claim
18 words
Apparatus as defined in claim 40 including means coupled to said interpolating means for compensating for interpolation error.
Claim 129
Dependent Claim
38 words
Bridge apparatus for processing angular data represented by sine and cosine signals RSin theta and RCosine theta to derive related processor angle data Alpha represented by coarse and fine processor angles Alpha c and Alpha f, respectively, comprising:
Claim 130
Dependent Claim
38 words
Bridge apparatus for processing angular data represented by sine and cosine signals RSin theta and RCosine theta to derive related processor angle data Alpha represented by coarse and fine processor angles Alpha c and Alpha f, respectively, comprising:
Claim 131
Dependent Claim
22 words
Bridge apparatus as defined in claim 4 in which said first and second tangent function generating means each comprise tapped divider means.
Claim 132
Dependent Claim
47 words
Bridge apparatus as defined in claim 47 in which said first and second tangent function generating means each comprise a transformer having a primary energized by the respective sine or cosine signal and a tapped secondary having tap selection means controlled by said coarse angle generating means.
Claim 133
Dependent Claim
31 words
Apparatus as defined in claim 47 including polarity reversing switching means in each of said first and second combining means, said reversing means being controlled by said coarse angle generating means.
Claim 134
Dependent Claim
34 words
Apparatus as defined in claim 47 in which said first and second signals represent the factors Cos theta Tan Alpha c and Sin theta Tan Alpha c, respectively, for certain values of Alpha c.
Claim 135
Dependent Claim
36 words
Apparatus as defined in claim 47 in which said first and second computation signals represent the factors Sin Delta Alpha /Cos Alpha c and Cos Delta Alpha /Cos Alpha c for certain values of Alpha c.
Claim 136
Dependent Claim
30 words
Apparatus as defined in claim 47 including means for including in the computational signal which is interpolated, a portion of the other computational signal for improving the accuracy of interpolation.
Claim 137
Dependent Claim
31 words
Apparatus as defined in claim 53 in which said modifying means supplies said portion according to the factor (1-Cos D)/Sin D, where D is a constant relating to the interpolation interval.
Claim 138
Dependent Claim
30 words
Apparatus as defined in claim 53 in which said computational signal which is interpolated includes the factor where D represents the interpolation interval and Delta Alpha theta - Alpha c.
Claim 139
Dependent Claim
21 words
Apparatus as defined in claim 55 in which said other computational signal includes the factor RSin Delta Alpha /Cos Alpha c.
Claim 140
Dependent Claim
11 words
Apparatus supplied with reference input R for processing angular data comprising:
Claim 141
Dependent Claim
11 words
Apparatus supplied with reference input R for processing angular data comprising:
Claim 142
Dependent Claim
48 words
Apparatus as defined in claim 57 in which said interpolating means include a linear interpolator, said first signal is nonlinear, and wherein said first signal bears a relationship to said second signal such that interpolating errors are independent of the adjusted setting of said coarse angle generating means.
Claim 143
Dependent Claim
32 words
Apparatus as defined in claim 58 in which said relationship is such that Alpha f varies as a function of tan Alpha c over at least a portion of the interpolating interval.
Claim 144
Dependent Claim
48 words
Apparatus as defined in claim 57 including switching means in said first and second signal computing circuits connected to be controlled by said coarse angle generating means to vary the interconnection of said input and function generating means in dependence on the adjusted value of said coarse angle.
Claim 145
Dependent Claim
20 words
Apparatus as defined in claim 57 in which said first and second computing circuits include means for producing bidirectional interpolation.
Claim 146
Dependent Claim
36 words
Apparatus as defined in claim 57 in which said first and second signals each include the factor 1/cosine Alpha c for one range of Alpha c, and 1/sin Alpha c for another range of Alpha c.
Claim 147
Dependent Claim
23 words
Apparatus as defined in claims 57 in which said first and second signals each include representations of a trigonometric function of Alpha c.
Claim 148
Dependent Claim
24 words
Apparatus as defined in claim 57 in which the increments of said coarse angle are greater than the operating range of said interpolating means.
References Cited (Backward Citations)
US3250905A
Cited
USPTO Annuity & Maintenance Windows
| Annuity Stage | Window Opens | Payment Deadline | Surcharge Period Until | Estimated Fee | Status |
|---|---|---|---|---|---|
| 3.5 Years (Year 4) | 1975-02-28 | 1975-08-30 | 1976-02-29 | $2000.00 | Window Closed / Lapsed |
| 7.5 Years (Year 8) | 1979-02-28 | 1979-08-30 | 1980-02-29 | $3760.00 | Window Closed / Lapsed |
| 11.5 Years (Year 12) | 1983-02-28 | 1983-08-30 | 1984-02-29 | $7700.00 | Window Closed / Lapsed |