High speed digital-to-analog converter

1. A digital-to-analog converter, the converter comprising:

a plurality of sampler circuits in electrical communication with a digital signal source, a sampler circuit of the plurality of sampler circuits adapted to sample a bit of a plurality of bits from the digital signal source with a half-sinusoidal signal thereby forming a sampled signal; and

a summation circuit in electrical communication with the plurality of sampler circuits, the summation circuit adapted to combine the sampled signal from each of the plurality of sampler circuits thereby forming an analog signal portion representative of the plurality of bits.

2. The converter of claim 1 , wherein the sampler further comprises:

a plurality of diodes; and

a sinusoidal signal source wherein the sinusoidal signal source toggles the plurality of diodes on and off thereby forming the sampled signal at a sampler output port.

3. The converter of claim 2 , wherein the summation circuit comprises an R-2R resistance ladder circuit.

4. The converter of claim 2 , wherein a least significant bit of the plurality of bits is closest to a load resistance of the R-2R resistance ladder circuit.

5. The converter of claim 3 , wherein the sampler further comprises:

an input port in electrical communication with the digital signal source;

a first coplanar wave guide connected between the input port and the plurality of diodes; and

a second coplanar wave guide connected between the plurality of diodes and the sampler output port.

6. The converter of claim 5 , wherein the first coplanar wave guide has a double center line.

7. The converter of claim 5 , wherein the length of the first coplanar wave guide is an odd multiple of

λ

CPW

4

,

where λ CPW is the wavelength of the coplanar wave guide.

8. The converter of claim 7 , wherein a length margin of the R-2R resistance ladder circuit is expressed as

1

πλ

CPW

arcsin

(

V

t

V

peak

)

where V t is the turn-on voltage of the diode, and V peak is the peak voltage of the sinusoidal signal source.

9. The converter of claim 5 , wherein the sampler further comprises:

a first resistor connected between a first terminal of the sinusoidal signal source and a first diode of the plurality of diodes;

a second resistor connected between a second diode of the plurality of diodes and a second terminal of the sinusoidal signal source, wherein the first diode and the second diode are connected in series;

a third resistor connected between the first terminal of the sinusoidal signal source and a third diode of the plurality of diodes;

a fourth resistor connected between a fourth diode of the plurality of diodes and the second terminal of the sinusoidal signal source, wherein the third diode and the fourth diode are connected in series.

10. The converter of claim 9 , wherein a first input impedance of the sampler is

R

4

⁢





⁢

Z

0

,

where R is a resistance of the first resistor, the second resistor, the third resistor, and the fourth resistor, and Z 0 is an impedance of the first coplanar wave guide and the second coplanar wave guide.

11. The converter of claim 10 , wherein the first input impedance results when the plurality of diodes are toggled on.

12. The converter of claim 10 , wherein R is approximately equal to 2Z 0 .

13. The converter of claim 10 , wherein a second input impedance of the sampler is

R

2

.

14. The converter of claim 10 , wherein the second input impedance results when the plurality of diodes are toggled off.

15. The converter of claim 4 , wherein a diode of the plurality of diodes is a Schottky diode.

16. The converter of claim 15 , wherein the Schottky diode is a GaAs Schottky diode.

17. The converter of claim 1 , further comprising a low pass filter adapted to receive the analog signal portion and to limit the bandwidth of an analog signal output from the low pass filter.

18. The converter of claim 2 , wherein the sinusoidal signal source comprises a power divider that connects with the plurality of sampler circuits.

19. The converter of claim 2 , wherein the summation circuit further comprises a Wilkinson power combiner circuit.

20. The converter of claim 19 , wherein the sinusoidal signal source wherein the sinusoidal signal source provides a first signal and a second signal, the second signal 180 degrees out of phase with the first signal.

21. A method of converting a digital signal to an analog signal, the method comprising:

receiving a plurality of bits from a digital signal source;

sampling the plurality of bits with a half-sinusoidal signal at a plurality of sampler circuits thereby forming a plurality of sampled signals; and

summing the plurality of sampled signals using a summation circuit.

22. A discrete digital synthesizer, the synthesizer comprising:

a digital signal source;

a plurality of sampler circuits in electrical communication with the digital signal source, a sampler circuit of the plurality of sampler circuits adapted to sample a bit of a plurality of bits from the digital signal source with a half-sinusoidal signal thereby forming a sampled signal;

a summation circuit in electrical communication with the plurality of sampler circuits, the summation circuit adapted to combine the sampled signal from each of the plurality of sampler circuits thereby forming an analog signal portion representative of the plurality of bits; and

an analog signal receiver in electrical communication with the summation circuit to receive the analog signal portion.