Frequency multipliers
A system includes a signal generator and a signal combiner. The signal generator is configured to output a first signal having a first frequency and to output one or more signals having the first frequency and having phases shifted relative to the first signal by predetermined amounts. The signal combiner is configured to combine the first signal and the one or more signals to output a frequency multiplied second signal having a second frequency. The second frequency is greater than the first frequency.
1. A system comprising:
a signal generator configured to output a first signal having a first frequency and to output one or more signals having the first frequency and having phases shifted relative to the first signal by predetermined amounts;
a signal combiner configured to combine the first signal and the one or more signals to output a frequency multiplied second signal having a second frequency, wherein the second frequency is greater than the first frequency, and
wherein when N denotes a total number of signals including the first signal and the one or more signals, the signal combiner configured to:
cancel the first frequencies of the first signal and the one or more signals;
add an N th harmonic of the first signal and N th harmonics of the one or more signals in phase to output the second signal; and
output the second signal having the second frequency equal to N times the first frequency; and
a frequency divider coupled to the signal combiner, the frequency divider configured to divide the second frequency of the second signal by 2.
2. The system of claim 1 , wherein:
the one or more signals include a third signal and a fourth signal;
the third signal has a phase shifted by 120 degrees relative to the first signal;
the fourth signal has a phase shifted by 240 degrees relative to the first signal; and
the second frequency is three times the first frequency.
3. The system of claim 1 , wherein the signal generator comprises a phase shifter including (N−1) delay circuits connected in series with each other, wherein:
a first delay circuit of the (N−1) delay circuits receives the first signal;
the (N−1) delay circuits respectively output the one or more signals; and
each delay circuit of the (N−1) delay circuits shifts a phase of a respective input signal by (360/N) degrees.
4. The system of claim 1 , wherein the signal generator comprises an N-stage ring oscillator, wherein:
a first stage of the N-stage ring oscillator outputs the first signal; and
remaining (N−1) stages of the N-stage ring oscillator respectively output the one or more signals.
5. The system of claim 1 , further comprising:
a first tank circuit coupled to the signal combiner, the first tank circuit configured to filter the second signal and to output a filtered second signal; and
a second tank circuit coupled to the frequency divider, the second tank circuit configured to filter an output of the frequency divider.
6. A system comprising:
a signal generator configured to output a first signal having a first frequency and to output one or more signals having the first frequency and having phases shifted relative to the first signal by predetermined amounts;
a signal combiner configured to combine the first signal and the one or more signals to output a frequency multiplied second signal having a second frequency, wherein the second frequency is greater than the first frequency; and
a tank circuit connected to the signal combiner, the tank circuit configured to filter residual first frequency from the second signal.
7. A system comprising:
a signal generator configured to output a first signal having a first frequency and to output one or more signals having the first frequency and having phases shifted relative to the first signal by predetermined amounts;
a signal combiner configured to combine the first signal and the one or more signals to output a frequency multiplied second signal having a second frequency, wherein the second frequency is greater than the first frequency;
a frequency divider connected to the signal combiner to divide the second frequency of the second signal by 2; and
a tank circuit connected to the frequency divider to filter residual first frequency from an output of the frequency divider.
8. A method comprising:
generating, using a signal generator, a first signal having a first frequency;
generating, using the signal generator, one or more signals having the first frequency and having phases shifted relative to the first signal by predetermined amounts;
combining, using a signal combiner, the first signal and the one or more signals to output a frequency multiplied second signal having a second frequency, wherein the second frequency is greater than the first frequency;
dividing, using a frequency divider, the second frequency of the second signal by 2 to output a divided second signal; and
filtering, using a tank circuit, residual first frequency from the divided second signal.
9. The method of claim 8 , wherein:
the one or more signals include a third signal and a fourth signal;
the third signal has a phase shifted by 120 degrees relative to the first signal;
the fourth signal has a phase shifted by 240 degrees relative to the first signal; and
the second frequency is three times the first frequency.
10. The method of claim 8 , wherein when N denotes a total number of signals including the first signal and the one or more signals, the combining the first signal and the one or more signals comprises:
canceling, using the signal combiner, the first frequencies of the first signal and the one or more signals;
adding, using the signal combiner, an N th harmonic of the first signal and N th harmonics of the one or more signals in phase to output the second signal; and
outputting, using the signal combiner, the second signal having the second frequency equal to N times the first frequency.
11. The method of claim 8 , further comprising:
filtering, using a second tank circuit, the divided second signal.
12. A method comprising:
generating, using a signal generator, a first signal having a first frequency;
generating, using the signal generator, one or more signals having the first frequency and having phases shifted relative to the first signal by predetermined amounts;
combining, using a signal combiner, the first signal and the one or more signals to output a frequency multiplied second signal having a second frequency, wherein the second frequency is greater than the first frequency; and
filtering, using a tank circuit, residual first frequency from the second signal.
13. A system comprising:
a ring oscillator including a plurality of stages and configured to output a plurality of signals, wherein each signal of the plurality of signals has a first frequency, a first signal of the plurality of signals output by a first stage of the plurality of stages has a first a phase, and wherein remaining signals of the plurality of signals output respectively by remaining stages of the plurality of stages have phases shifted relative to the first phase by predetermined amounts;
a signal combiner configured to combine the plurality of signals to output a frequency multiplied second signal having a second frequency, wherein the second frequency is greater than the first frequency, and
wherein when N denotes a total number of the plurality of signals, the signal combiner configured to:
cancel the first frequencies of the plurality of signals;
add N th harmonics of the plurality of signals in phase to output the second signal; and
output the second signal having the second frequency equal to N times the first frequency; and
a frequency divider coupled to the signal combiner, the frequency divider configured to divide the second frequency of the second signal by 2.
14. The system of claim 13 , further comprising:
a tank circuit coupled to the frequency divider, the tank circuit configured to filter an output of the frequency divider.
15. The system of claim 13 , further comprising:
a first tank circuit coupled to the signal combiner, the first tank circuit configured to filter the second signal and to output a filtered second signal; and
a second tank circuit coupled to the frequency divider, the second tank circuit configured to filter an output of the frequency divider.
16. A system comprising:
a ring oscillator including a plurality of stages and configured to output a plurality of signals, wherein each signal of the plurality of signals has a first frequency, a first signal of the plurality of signals output by a first stage of the plurality of stages has a first a phase, and wherein remaining signals of the plurality of signals output respectively by remaining stages of the plurality of stages have phases shifted relative to the first phase by predetermined amounts;
a signal combiner configured to combine the plurality of signals to output a frequency multiplied second signal having a second frequency, wherein the second frequency is greater than the first frequency; and
a tank circuit coupled to the signal combiner, the tank circuit configured to filter the second signal.