Method and system for generating wavelets
A method ( 1300 ) is provided for generating one or more waveforms ( 130, 140 ). The method includes: generating a first toggle signal ( 1130, 1330 ) in response to a clock signal ( 1110 ), the first toggle signal having one of a first positive shape, a null shape, and a first negative shape for each cycle of the clock signal; multiplying the first toggle signal by a first coefficient signal to create a first intermediate signal ( 1440 ); generating a second toggle signal ( 1140, 1330 ) in response to the clock signal, the second toggle signal having one of a second positive shape, the null shape, and a second negative shape for each cycle of the clock signal; multiplying the second toggle signal by a second coefficient signal to create a second intermediate signal ( 1440 ); and generating a first output signal ( 1170 ) by adding the first intermediate signal and the second intermediate signal together ( 1350 ).
1. A method for generating one or more waveforms, comprising:
generating a first toggle signal at a first signal-generating circuit in response to a first clock signal, the first toggle signal having one of a first positive shape, a null shape, and a first negative shape for each cycle of the first clock signal;
multiplying the first toggle signal by a first coefficient signal to create a first intermediate signal;
generating a second toggle signal at a second signal-generating circuit in response to the first clock signal, the second toggle signal having one of a second positive shape, the null shape, and a second negative shape for each cycle of the first clock signal;
multiplying the second toggle signal by a second coefficient signal to create a second intermediate signal; and
generating a first output signal by adding the first intermediate signal and the second intermediate signal together,
wherein the first and second positive shapes are each a positive square-wave half cycle,
wherein the first and second negative shapes are each a negative square-wave half cycle,
wherein when the first toggle signal has one of the first positive shape or the first negative shape, the second toggle signal has the null shape, and
wherein when the second toggle signal has one of the second positive shape or the second negative shape, the first toggle signal has the null shape.
2. A method for generating one or more waveforms, as recited in claim 1 , further comprising:
generating a third toggle signal at a third signal-generating circuit in response to a second clock signal, the third toggle signal having one of a third positive shape, the null shape, and a third negative shape for each cycle of the second clock signal;
multiplying the third toggle signal by a third coefficient signal to create a third intermediate signal;
generating a fourth toggle signal in response to the second clock signal, the fourth toggle signal having one of a fourth positive shape, the null shape, and a fourth negative shape for each cycle of the second clock signal;
multiplying the fourth toggle signal by a fourth coefficient signal to create a fourth intermediate signal; and
generating a second output signal by adding the third intermediate signal and the fourth intermediate signal together;
wherein the third positive shape is a positive square-wave half cycle,
wherein the third negative shape is a negative square-wave half cycle,
wherein when the third toggle signal has one of the third positive shape or the third negative shape, the fourth toggle signal has the null shape, and
wherein when the fourth toggle signal has one of the fourth positive shape or the fourth negative shape, the third toggle signal has the null shape.
3. A method for generating one or more waveforms, as recited in claim 2 ,
wherein the first output signal and the second output signal are one of orthogonal or approximately orthogonal with respect to each other, and
wherein the first output signal has a first signal energy that is nominally equal to a second signal energy of the second output signal.
4. A method for generating one or more waveforms, as recited in claim 1 , wherein the first clock signal is one of: an in-phase reference signal, and a quadrature-phase reference signal.
5. A method for generating one or more waveforms, as recited in claim 1 , further comprising one of: modulating an in-phase reference signal with an in-phase data signal to generate the first clock signal, and modulating a quadrature-phase reference signal with a quadrature-phase data signal to generate the first clock signal.
6. A method for generating one or more waveforms, as recited in claim 1 , further comprising:
multiplying a data signal by a first coefficient value to generate the first coefficient signal; and
multiplying the data signal by a second coefficient value to generate the second coefficient signal.
7. A method for generating one or more waveforms, as recited in claim 1 , further comprising:
generating a third toggle signal in response to the first clock signal, the third toggle signal having one of a third positive shape, the null shape, and a third negative shape for each cycle of the input signal; and
multiplying the third toggle signal by a third coefficient signal to create a third intermediate signal,
wherein the generating of the output signal is performed by adding the first, second, and third intermediate signals together
wherein the third negative shape is a negative square-wave half cycle,
wherein when the first toggle signal has one of the first positive shape or the first negative shape, or the second toggle signal has one of the second positive shape or the second negative shape, the third toggle signal has the null shape, and
wherein when the third toggle signal has one of the third positive shape or the third negative shape, the first and second toggle signals have the null shape.
8. A method for generating one or more waveforms, as recited in claim 1 ,
wherein the null shape is a zero-value signal.
9. A method for generating one or more waveforms, as recited in claim 8 , further comprising:
multiplying a sinusoidal wave by a first coefficient value to generate the first coefficient signal; and
multiplying the sinusoidal wave by a second coefficient value to generate the second coefficient signal.
10. A method for generating one or more waveforms, as recited in claim 1 , further comprising passing the first output signal through a filter to provide a filtered signal.
11. A method for generating one or more waveforms, as recited in claim 1 , further comprising modulating the first output signal with a data signal to provide a modulated signal.
12. A method for generating one or more waveforms, as recited in claim 1 , wherein the method is implemented in an integrated circuit.
13. A method for generating one or more waveforms, comprising:
generating a first toggle signal in response to a first clock signal, the first toggle signal having one of a first positive shape, a null shape, and a first negative shape for each cycle of the first clock signal;
multiplying the first toggle signal by a first coefficient signal to create a first intermediate signal;
generating a second toggle signal in response to the first clock signal, the second toggle signal having one of a second positive shape, the null shape, and a second negative shape for each cycle of the first clock signal;
multiplying the second toggle signal by a second coefficient signal to create a second intermediate signal; and
generating a first output signal by adding the first intermediate signal and the second intermediate signal together
wherein when the first toggle signal has one of the first positive shape or the first negative shape, the second toggle signal has the null shape, and
wherein when the second toggle signal has one of the second positive shape or the second negative shape, the first toggle signal has the null shape.
14. A method for generating one or more waveforms, as recited in claim 13 , wherein the null shape is a zero-value signal.