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US4344040A
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Method and apparatus for providing the in-phase and quadrature components of a bandpass signal
Assignee: McMaster University
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Filing: 1980-03-26
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Granted: 1982-08-10
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Expires: 2000-03-26
Abstract
Abstract The method and apparatus provides the in-phase I and quadrature Q components of a bandpass signal x(t) of center frequency f c and bandwidth 2w. The signal x(t) is heterodyned to have an intermediate center frequency f o where w≦f o ≦f c . This signal is divided into two signals and each is sampled during successive periods T s where T s =m/f o and m is an integer. However, the instant of sampling of one signal is shifted with respect to the other by b/4f o where b is an odd integer. In the various implementations, the shift may be either positive, negative, or both, to provide the quadrature component Q, whereas the sampling of the other signal provides the in-phase component I.
Inventors
- 👤 James P. Reilly
- 👤 Simon Haykin
Bibliographic Details
Application Number
—
Jurisdiction
US
Data Source
google_patents
Last Synchronized
2026-10-26 17:19
CPC Classifications
H; H03; H03D; H03D1/00; H03D1/22; H03D1/2245; G; G01; G01S; G01S7/00; G01S7/02; G01S7/28; G01S7/285; G01S7/288; G01S7/2886; G01S7/35; G01S7/352; G01S7/358
Claims Analysis
Total Claims: 21
Claim 1
Independent Claim
161 words
A method of determining the in-phase (I) and quadrature (Q) components of a bandpass signal x(t) having a center frequency f c and a bandwidth 2 w comprising: (a) heterodyning the signal x(t) from its center frequency f c to an intermediate frequency f o ; (b) dividing the heterodyned signal into first and second substantially identical signals; (c) sampling the first divided signal at an instant during successive periods T s where T s =m/f o and m is an integer, to provide an output which represents the I component; (d) sampling the second divided signal during the successive periods T s wherein the sampling instants are shifted by b/4f o with respect to the sampling instant of the first divided signal, where b is an odd integer, to provide an output which represents the Q component; and (e) making a time shift correction of b/4f o to the output representing the Q component when f o 21 20 w.
Claim 2
Independent Claim
161 words
A method of determining the in-phase (I) and quadrature (Q) components of a bandpass signal x(t) having a center frequency f c and a bandwidth 2 w comprising: (a) heterodyning the signal x(t) from its center frequency f c to an intermediate frequency f o ; (b) dividing the heterodyned signal into first and second substantially identical signals; (c) sampling the first divided signal at an instant during successive periods T s where T s =m/f o and m is an integer, to provide an output which represents the I component; (d) sampling the second divided signal during the successive periods T s wherein the sampling instants are shifted by b/4f o with respect to the sampling instant of the first divided signal, where b is an odd integer, to provide an output which represents the Q component; and (e) making a time shift correction of b/4f o to the output representing the Q component when f o 21 20 w.
Claim 3
Dependent Claim
13 words
A method as claimed in claim 1 where w≦f o ≦f c .
Claim 4
Dependent Claim
9 words
A method as claimed in claim 1 where ##EQU18##
Claim 5
Independent Claim
169 words
A method of determining the in-phase (I) and quadrature (Q) components of a bandpass signal x(t) having a center frequency f c and a bandwidth 2 w comprising: (a) heterodyning the signal x(t) from its center frequency f c to an intermediate frequency f o ; (b) dividing the heterodyned signal into first and second substantially identical signals; (c) sampling the first divided signal at an instant during successive periods T s where T s =m/f o and m is an integer, to provide an output which represents the I component; and (d) sampling the second divided signal at a first and a second sampling instant during each successive period T s wherein the first sampling instant is advanced by b/4f o with respect to the sampling instant of the first divided signal and the second sampling instant is delayed by b/4f o with respect to the sampling instant of the first divided signal, where b is an odd integer, to provide an output which represents the Q component.
Claim 6
Independent Claim
169 words
A method of determining the in-phase (I) and quadrature (Q) components of a bandpass signal x(t) having a center frequency f c and a bandwidth 2 w comprising: (a) heterodyning the signal x(t) from its center frequency f c to an intermediate frequency f o ; (b) dividing the heterodyned signal into first and second substantially identical signals; (c) sampling the first divided signal at an instant during successive periods T s where T s =m/f o and m is an integer, to provide an output which represents the I component; and (d) sampling the second divided signal at a first and a second sampling instant during each successive period T s wherein the first sampling instant is advanced by b/4f o with respect to the sampling instant of the first divided signal and the second sampling instant is delayed by b/4f o with respect to the sampling instant of the first divided signal, where b is an odd integer, to provide an output which represents the Q component.
Claim 7
Dependent Claim
13 words
A method as claimed in claim 4 where w≦f o ≦f c .
Claim 8
Dependent Claim
12 words
A method as claimed in claim 4 where f o ≧20 w.
Claim 9
Dependent Claim
9 words
A method as claimed in claim 4 where ##EQU19##
Claim 10
Independent Claim
160 words
A method of determining the in-phase (I) and quadrature (Q) components of a bandpass signal x(t) having a center frequency f c and a bandwidth 2 w comprising: (a) heterodyning the signal x(t) from its center frequency f c to an intermediate frequency f o ; (d) dividing the heterodyned signal into first and second substantially indentical signals; (c) sampling the first divided signal at an instant during successive periods T s where T s =m/f o and m is an integer, to provide an output which represents the I component; (d) sampling the second divided signal during each successive period T s wherein the sampling instant is advanced by b/4f o with respect to the sampling instant of the first divided signal, where b is an odd integer, to provide an output which represents the Q component; and (e) makng a time shift correction of b/4f o to the output representing the Q component when f o <20 w.
Claim 11
Independent Claim
160 words
A method of determining the in-phase (I) and quadrature (Q) components of a bandpass signal x(t) having a center frequency f c and a bandwidth 2 w comprising: (a) heterodyning the signal x(t) from its center frequency f c to an intermediate frequency f o ; (d) dividing the heterodyned signal into first and second substantially indentical signals; (c) sampling the first divided signal at an instant during successive periods T s where T s =m/f o and m is an integer, to provide an output which represents the I component; (d) sampling the second divided signal during each successive period T s wherein the sampling instant is advanced by b/4f o with respect to the sampling instant of the first divided signal, where b is an odd integer, to provide an output which represents the Q component; and (e) makng a time shift correction of b/4f o to the output representing the Q component when f o <20 w.
Claim 12
Independent Claim
151 words
A method of determining the in-phase (I) and quadrature (Q) component of a bandpass signal x(t) having a center frequency f c and a bandwidth 2 w comprising: (a) dividing the signal x(t) into first and second substantially identical signals; (b) sampling the first divided signal at an instant during successive periods T s where T s =m/f c and m is an integer, to provide an output which represents the I component; and (c) sampling the second divided signal at a first and a second sampling instant during each successive period T s wherein the first sampling instant is advanced by b/4f c with respect to the sampling instant of the first divided signal, and the second sampling instant is delayed by b/4f c with respect to the sampling instant of the first divided signal, where b is an odd integer, to provide an output which represents the Q component.
Claim 13
Independent Claim
151 words
A method of determining the in-phase (I) and quadrature (Q) component of a bandpass signal x(t) having a center frequency f c and a bandwidth 2 w comprising: (a) dividing the signal x(t) into first and second substantially identical signals; (b) sampling the first divided signal at an instant during successive periods T s where T s =m/f c and m is an integer, to provide an output which represents the I component; and (c) sampling the second divided signal at a first and a second sampling instant during each successive period T s wherein the first sampling instant is advanced by b/4f c with respect to the sampling instant of the first divided signal, and the second sampling instant is delayed by b/4f c with respect to the sampling instant of the first divided signal, where b is an odd integer, to provide an output which represents the Q component.
Claim 14
Dependent Claim
203 words
Apparatus for determining the in-phase I, and quadrature Q, components of a bandpass signal x(t) of center frequency f c and bandwidth 2 w comprising: (a) divider means for receiving the signal x(t) and for dividing the signal x(t) into first and second substantially identical signals at first and second outputs; (b) first sampling means and second sampling means coupled respectively to the first and second divider means outputs; and (c) a timing generator of frequency 1/T s where T s =m/f c and m is an integer, the timing generator being coupled to the first sampling means to sample the first divided signal at an instant during successive periods T s providing an output which represents I, the timing generator being further coupled to the second sampling means to sample the second divided signal at a first and a second sampling instant during each successive period T s , the first sampling instant being advanced by b/4f c with respect to the sampling instant of the first divided signal and the second sampling instant being delayed by b/4f c with respect to the sampling instant of the first divided signal, where b is an odd integer, providing an output which represents Q.
Claim 15
Dependent Claim
203 words
Apparatus for determining the in-phase I, and quadrature Q, components of a bandpass signal x(t) of center frequency f c and bandwidth 2 w comprising: (a) divider means for receiving the signal x(t) and for dividing the signal x(t) into first and second substantially identical signals at first and second outputs; (b) first sampling means and second sampling means coupled respectively to the first and second divider means outputs; and (c) a timing generator of frequency 1/T s where T s =m/f c and m is an integer, the timing generator being coupled to the first sampling means to sample the first divided signal at an instant during successive periods T s providing an output which represents I, the timing generator being further coupled to the second sampling means to sample the second divided signal at a first and a second sampling instant during each successive period T s , the first sampling instant being advanced by b/4f c with respect to the sampling instant of the first divided signal and the second sampling instant being delayed by b/4f c with respect to the sampling instant of the first divided signal, where b is an odd integer, providing an output which represents Q.
Claim 16
Dependent Claim
234 words
Apparatus for determining the in-phase, I, and quadrature, Q, components of a bandpass signal x(t) of center frequency f c and bandwidth 2 w comprising: (a) mixer means for receiving the signal x(t); (b) a signal source of frequency f d coupled to the mixer means for heterodyning the signal x(t) to an intermediate frequency f o ; (c) divider means coupled to the mixing means for dividing the heterodyned signal into first and second substantially identical signals at first and second outputs; (d) first sampling means and second sampling means coupled respectively to the first and the second divider means output; and (e) a timing generator of frequency 1/T s where T=m/f o and m is an integer, the timing generator being coupled to the first sampling means to sample the first divided signal at an instant during successive periods T s providing an output which represents I, the timing generator being further coupled to the second sampling means to sample the second divided signal at a first and a second sampling instant during each successive period T s , the first sampling instant being advanced by b/4f o with respect to the sampling instant of the first divided signal, and the second sampling instant being delayed by b/4f o with respect to the sampling instant of the first divided signal, where b is an odd integer, providing an output which represents Q.
Claim 17
Dependent Claim
234 words
Apparatus for determining the in-phase, I, and quadrature, Q, components of a bandpass signal x(t) of center frequency f c and bandwidth 2 w comprising: (a) mixer means for receiving the signal x(t); (b) a signal source of frequency f d coupled to the mixer means for heterodyning the signal x(t) to an intermediate frequency f o ; (c) divider means coupled to the mixing means for dividing the heterodyned signal into first and second substantially identical signals at first and second outputs; (d) first sampling means and second sampling means coupled respectively to the first and the second divider means output; and (e) a timing generator of frequency 1/T s where T=m/f o and m is an integer, the timing generator being coupled to the first sampling means to sample the first divided signal at an instant during successive periods T s providing an output which represents I, the timing generator being further coupled to the second sampling means to sample the second divided signal at a first and a second sampling instant during each successive period T s , the first sampling instant being advanced by b/4f o with respect to the sampling instant of the first divided signal, and the second sampling instant being delayed by b/4f o with respect to the sampling instant of the first divided signal, where b is an odd integer, providing an output which represents Q.
Claim 18
Dependent Claim
28 words
Apparatus as claimed in claim 10 or 11 in which the outputs of the first sampling means and the second sampling means are coupled to signal processor means.
Claim 19
Dependent Claim
10 words
Apparatus as claimed in claim 10 or 11 where ##EQU20##
Claim 20
Dependent Claim
12 words
Apparatus as claimed in claim 11 wherein w≦f o ≦f c .
Claim 21
Dependent Claim
11 words
Apparatus as claimed in claim 11 wherein f o ≧20 w.
References Cited (Backward Citations)
USPTO Annuity & Maintenance Windows
| Annuity Stage | Window Opens | Payment Deadline | Surcharge Period Until | Estimated Fee | Status |
|---|---|---|---|---|---|
| 3.5 Years (Year 4) | 1985-08-09 | 1986-02-08 | 1986-08-10 | $2000.00 | Window Closed / Lapsed |
| 7.5 Years (Year 8) | 1989-08-09 | 1990-02-08 | 1990-08-10 | $3760.00 | Window Closed / Lapsed |
| 11.5 Years (Year 12) | 1993-08-09 | 1994-02-08 | 1994-08-10 | $7700.00 | Window Closed / Lapsed |