Patent US3926367A successfully refreshed from Google Patents.
US3926367A
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Complex filters, convolvers, and multipliers
Assignee: United States Department of the Navy
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Filing: 1974-09-27
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Granted: 1975-12-16
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Expires: 1994-09-27
Abstract
Abstract A complex multiplier, using only real multipliers, having two pairs of signal inputs, at one pair of which appears the real and the imaginary parts, A and B, of an arbitrary signal A + jB, which had been decomposed into these components prior to appearing at the pair of inputs, at the other pair of signal inputs appearing the real and imaginary parts C and D, of a similarly decomposed, arbitrary, signal C + jD. The complex multiplier comprises four signal summers, two means for inverting a signal, and three signal multipliers. The magnitude of the output signal of the third summer is equal to the magnitude of the imaginary part of the product of the complex signals, A + jB and C + jD, while the magnitude of the output signal of the fourth summer is equal to the magnitude of the real part of the same multiplied complex signals.
Inventors
- 👤 James W Bond
- 👤 Jeffrey M Speiser
Bibliographic Details
Application Number
—
Jurisdiction
US
Data Source
google_patents
Last Synchronized
2026-10-23 19:01
CPC Classifications
G; G06; G06G; G06G7/00; G06G7/12; G06G7/22; G06F; G06F7/00; G06F7/38; G06F7/48; G06F7/4806; G06F7/4812
Claims Analysis
Total Claims: 10
Claim 1
Independent Claim
276 words
A complex multiplier, using only real multipliers, having two pairs of signal inputs, at one pair of which appears the real and the imaginary parts, A and B, of an arbitrary signal A + jB, which had been decomposed into these components prior to appearing at the pair of inputs, at the other pair of signal inputs appearing the real and imaginary parts C and D, of a similarly decomposed, arbitrary, signal C + jD, the complex multiplier comprising: a first signal summer, one of whose inputs is the signal A; a first means for inverting a signal, whose input is the signal B, and whose output is connected to one of the inputs of the first signal summer; a second signal summer, whose inputs are the signals C and D; a first signal multiplier, whose inputs are the signals A and D; a second signal multiplier, whose inputs are the signals B and C; a third signal multiplier whose inputs are connected to the outputs of the first and second signal summers; a third signal summer, whose inputs are connected to the outputs of the first and second multipliers, the output signal of this summer being the imaginary part of the multiplied complex signals, A + jB and C + jD; a second means for inverting a signal, whose input is connected to the output of the first multiplier; and a fourth signal summer, whose inputs are connected to the output of the second inverter, and of the second and third signal multipliers, the output signal of this summer being the real part of the multiplied complex signals, A + jB and C + jD.
Claim 2
Dependent Claim
276 words
A complex multiplier, using only real multipliers, having two pairs of signal inputs, at one pair of which appears the real and the imaginary parts, A and B, of an arbitrary signal A + jB, which had been decomposed into these components prior to appearing at the pair of inputs, at the other pair of signal inputs appearing the real and imaginary parts C and D, of a similarly decomposed, arbitrary, signal C + jD, the complex multiplier comprising: a first signal summer, one of whose inputs is the signal A; a first means for inverting a signal, whose input is the signal B, and whose output is connected to one of the inputs of the first signal summer; a second signal summer, whose inputs are the signals C and D; a first signal multiplier, whose inputs are the signals A and D; a second signal multiplier, whose inputs are the signals B and C; a third signal multiplier whose inputs are connected to the outputs of the first and second signal summers; a third signal summer, whose inputs are connected to the outputs of the first and second multipliers, the output signal of this summer being the imaginary part of the multiplied complex signals, A + jB and C + jD; a second means for inverting a signal, whose input is connected to the output of the first multiplier; and a fourth signal summer, whose inputs are connected to the output of the second inverter, and of the second and third signal multipliers, the output signal of this summer being the real part of the multiplied complex signals, A + jB and C + jD.
Claim 3
Dependent Claim
251 words
A complex filter, which utilizes only real filters, to which the two components of a complex input signal A + jB may be applied, the complex filter giving the same output which would result from a complex multiplication of the applied input signal A + jB with a complex signal C + jD, comprising: a first means for inverting an input signal, for example signal B; a first signal summer, at one of whose inputs is applied the signal A, the other input being connected to the signal -B, the output of the inverting means; a first filter, whose impulse response is D, to which the signal A is also applied; a second filter, whose impulse response is C + D, whose input is the output of the first signal summer; a third filter, whose impulse response is C, and whose input is the applied signal B; a second means for inverting an input signal, whose input is connected to the output of the first filter; a second signal summer, whose three inputs are connected to the output of the second inverting means and the outputs of the second and third filters, and whose output comprises the real part of the complex product of the complex numbers A +jB and C + jD; and a third signal summer, whose two inputs are connected to the outputs of the first and third filters and whose output comprises the imaginary part of the complex product of A + jB and C + jD.
Claim 4
Dependent Claim
251 words
A complex filter, which utilizes only real filters, to which the two components of a complex input signal A + jB may be applied, the complex filter giving the same output which would result from a complex multiplication of the applied input signal A + jB with a complex signal C + jD, comprising: a first means for inverting an input signal, for example signal B; a first signal summer, at one of whose inputs is applied the signal A, the other input being connected to the signal -B, the output of the inverting means; a first filter, whose impulse response is D, to which the signal A is also applied; a second filter, whose impulse response is C + D, whose input is the output of the first signal summer; a third filter, whose impulse response is C, and whose input is the applied signal B; a second means for inverting an input signal, whose input is connected to the output of the first filter; a second signal summer, whose three inputs are connected to the output of the second inverting means and the outputs of the second and third filters, and whose output comprises the real part of the complex product of the complex numbers A +jB and C + jD; and a third signal summer, whose two inputs are connected to the outputs of the first and third filters and whose output comprises the imaginary part of the complex product of A + jB and C + jD.
Claim 5
Dependent Claim
16 words
The complex filter according to claim 2, wherein the first and second inverting means comprise transformers.
Claim 6
Dependent Claim
18 words
The complex filter according to claim 2, wherein the first, second and third filters comprise surface wave devices.
Claim 7
Dependent Claim
256 words
A complex cross-convolver, having two pairs of signal inputs, at one pair of which appears the real and the imaginary parts, A and B, of an arbitrary signal A + jB, which had been decomposed into these Components prior to appearing at the pair of inputs, at the other pair of signal inputs appearing the real and imaginary parts C and D, of a similarly decomposed, arbitrary, signal C + jD, the complex cross-convolver comprising: a first inverter, whose input is the signal B; a first signal summer, connected to the first inverter, whose inputs are the signals A and -B; a second signal summer, whose inputs are the signals D and C; a first cross-convolver, whose inputs are the signals A and D; a second inverter, whose input is connected to the output of the first cross-convolver; a second cross-convolver, whose inputs are the signals B and C; a third cross-convolver, whose inputs are connected to the outputs of the first and second signal summers; a third signal summer whose inputs are connected to the outputs of the first and second cross-convolvers, the output signal of this summer having the magnitude of the imaginary part of the convolved complex signals, A + jB and C + jD; and a fourth signal summer, whose three inputs are connected to the outputs of the second inverter and the second and third cross-convolvers, the output signal of this summer having the magnitude of the real part of the convolved complex signals, A + jB and C + jD.
Claim 8
Dependent Claim
256 words
A complex cross-convolver, having two pairs of signal inputs, at one pair of which appears the real and the imaginary parts, A and B, of an arbitrary signal A + jB, which had been decomposed into these Components prior to appearing at the pair of inputs, at the other pair of signal inputs appearing the real and imaginary parts C and D, of a similarly decomposed, arbitrary, signal C + jD, the complex cross-convolver comprising: a first inverter, whose input is the signal B; a first signal summer, connected to the first inverter, whose inputs are the signals A and -B; a second signal summer, whose inputs are the signals D and C; a first cross-convolver, whose inputs are the signals A and D; a second inverter, whose input is connected to the output of the first cross-convolver; a second cross-convolver, whose inputs are the signals B and C; a third cross-convolver, whose inputs are connected to the outputs of the first and second signal summers; a third signal summer whose inputs are connected to the outputs of the first and second cross-convolvers, the output signal of this summer having the magnitude of the imaginary part of the convolved complex signals, A + jB and C + jD; and a fourth signal summer, whose three inputs are connected to the outputs of the second inverter and the second and third cross-convolvers, the output signal of this summer having the magnitude of the real part of the convolved complex signals, A + jB and C + jD.
Claim 9
Dependent Claim
25 words
Apparatus for performing a discrete Fourier transform using the chirp-z transform algorithm with 3-multiplier complex arithmetic, comprising: a first function generator, which generates the function
Claim 10
Dependent Claim
25 words
Apparatus for performing a discrete Fourier transform using the chirp-z transform algorithm with 3-multiplier complex arithmetic, comprising: a first function generator, which generates the function
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) | 1978-12-15 | 1979-06-16 | 1979-12-16 | $2000.00 | Window Closed / Lapsed |
| 7.5 Years (Year 8) | 1982-12-15 | 1983-06-16 | 1983-12-16 | $3760.00 | Window Closed / Lapsed |
| 11.5 Years (Year 12) | 1986-12-15 | 1987-06-16 | 1987-12-16 | $7700.00 | Window Closed / Lapsed |