Claims
- 1. A method of generating a broadband signal comprising up to 2N+1 RF signals having frequencies incrementally related to a center frequency by a fundamental frequency increment, each of the RF signals having an amplitude and phase characterized by a phasor value, said method comprising the steps of:
- generating a first and second baseband signal each comprising a linear combination of a zero frequency term and N sinusoids, each of the sinusoids having a frequency that is an integral multiple of the fundamental frequency;
- modulating in quadrature the first and second baseband signals on a third signal having a frequency equal to the center frequency; and
- determining a desired linear combination of sinusoids and zero frequency terms for the first and second baseband signals to achieve a desired phasor value for each of the RF signals.
- 2. The method of claim 1 wherein said step of determining further comprises the steps of
- for each of the RF signals, determining in-phase and quadrature components of its desired phasor value; and
- representing the first and second baseband signals as a first and second set each comprising M digital samples related to said in-phase and quadrature components of the desired phasor values of the RF signals.
- 3. The method of claim 2 wherein each of the M digital samples (t=1 to M) for the first and second sets are related to the desired phasor values of the generated RF signals in accordance with the following equation: ##EQU5## wherein k represents the number of fundamental frequency increments relative to the center frequency for each of the RF signals;
- wherein I.sub.k.sup.- and Q.sub.k.sup.- represent the in-phase and quadrature components respectively for an RF signal having a frequency lower by k fundamental frequency increments relative to the center frequency, for k=1 to N; and
- wherein I.sub.k.sup.+ and Q.sub.k.sup.+ represent the in-phase and quadrature components respectively for an RF signal having a frequency higher by k fundamental frequency increments relative to the center frequency, for k=1 to N.
- 4. The method of claim 3 wherein the desired in-phase and quadrature components are time varying (modulated) in accordance with independent functions.
- 5. The method of claim 4 wherein said modulation is common to all RF signals
- and defined by the equation: ##EQU6## wherein C(t) and S(t) are functions which impose quadrature modulation of the RF signals; and wherein each of the M digital samples (t=1 to M) for the first and second sets are in accordance with the following equation: ##EQU7##
- 6. The method of claim 2 wherein said step of generating further comprises the steps of: sequentially retrieving a sample pair, one from each of the first and second sets of M samples, for each cycle of a clock during a predetermined time period, the clock having a frequency equal to the product of M and the fundamental frequency; and
- converting each of the retrieved sample pairs to analog values to produce the first and second baseband signals.
- 7. The method of claim 6 wherein the clock is phase-locked to a pilot signal which is an integral multiple of the fundamental frequency.
- 8. The method of claim 7 wherein the local frequency is phase-locked to a channel group center carrier.
- 9. The method of claim 1 further comprising the step of filtering the first and second baseband signals to limit their spectral energy above the frequency of their highest frequency sinusoidal component.
- 10. The method of claim 2 wherein the number of samples M of the first and second sets is equal to or greater than 2N.
Parent Case Info
This is a continuation of U.S. application Ser. No. 08/433,135, filed May 3, 1995 and which issued as U.S. Pat. No. 5,754,650 on May 19, 1998; which was a continuation of U.S. application Ser. No. 08/233,212, filed Apr. 25, 1994 and which issued as U.S. Pat. No. 5,430,799 on Jul. 4, 1995; which was a continuation of U.S. application Ser. No. 07/818,752, filed Jan. 8, 1992 and which is abandoned.
US Referenced Citations (7)
Continuations (3)
|
Number |
Date |
Country |
Parent |
433135 |
May 1995 |
|
Parent |
233212 |
Apr 1994 |
|
Parent |
818752 |
Jan 1992 |
|