System for modeling digital pulses having specific FMOP properties

• US 20060227701A1
• Filed: 03/29/2005
• Published: 10/12/2006
• Est. Priority Date: 03/29/2005
• Status: Active Grant

• Current Assignee: Lockheed Martin Corporation (Martin Marietta Corporation)
• Original Assignee: Lockheed Martin Corporation (Martin Marietta Corporation)
• Inventors: Johnson, J. Andrew
• Granted Patent: US 7,848,220 B2
• Time in Patent Office: Days
• US Class Current: 370/210
• CPC Class Codes: G11C 27/02 Sample-and-hold arrangements G11C27/04 takes precedence
• CPC Class Codes: H04L 7/027 extracting the synchronising or clock signal from the received signal spectrum, e.g. by using a resonant or bandpass circuit

Abstract

A system samples data of a digital pulse. The system includes a processor, an integrator, and a converter. The processor computes a discrete Fourier transform of frequency data of the digital pulse. The discrete Fourier transform includes a first output. The integrator integrates the first output to produce phase data. The phase data includes a second output. The converter applies an inverse discrete Fourier transform to the second output to produce a continuous signal that may be sampled at a predetermined time instant.

Claims

1. A system for sampling data of a digital pulse, said system comprising:

a processor for computing a discrete Fourier transform of frequency data of the digital pulse, the discrete Fourier transform comprising a first output;

an integrator for integrating the first output to produce phase data, the phase data comprising a second output; and

a converter for applying an inverse discrete Fourier transform to the second output to produce a continuous signal that may be sampled at a predetermined time instant, the continuous signal comprising a third output.

2. The system as set forth in claim 1 wherein the processor removes an average slope and an offset of the data of the digital pulse.

3. The system as set forth in claim 2 further including a second converter for reapplying the average slope and the offset of the data of the digital pulse to the third output, the second converter producing a fourth output.

4. The system as set forth in claim 3 wherein the fourth output comprises a quadratic represented by

5. The system as set forth in claim 1 wherein the first output is represented by

6. The system as set forth in claim 1 wherein the integrator utilizes the frequency domain equivalent operation

7. The system as set forth in claim 1 wherein the converter represents the third output in a time domain such that

8. The system as set forth in claim 1 further including a second processor for computing an analytic signal by applying Euler'"'"'s identity (e^jθ

=cos θ

+j sin θ

) to the third output, the second processor producing a fourth output.

9. The system as set forth in claim 8 wherein the second processor applies a predetermined amplitude envelope to produce a signal with a “

shape,”

A(t), defined by s(t)=A(t)e<sup>jφ

(t)</sup>.

10. The system as set forth in claim 8 further including a sampler for sampling the fourth output at uniform time intervals, T, such that

s(k)=s(kT)
Re{s(k)}=A(kT)cos φ

(kT)
Im{s(k)}=A(kT)sin φ

(kT).

11. A computer program product for sampling data of a digital pulse, said computer program product comprising:

a first instruction for computing a discrete Fourier transform of frequency data of the digital pulse, said first instruction producing a first output;

a second instruction for integrating the first output to produce phase data, the second instruction producing a second output; and

a third instruction for applying an inverse discrete Fourier transform to the second output to produce a continuous signal that may be sampled at any predetermined time instant, the third instruction producing a third output.

12. The computer program product as set forth in claim 11 wherein the first instruction further removes an average slope and an offset of the data of the digital pulse.

13. The computer program product as set forth in claim 12 further including a fourth instruction for reapplying the average slope and the offset of the data of the digital pulse to the third output, the fourth instruction producing a fourth output.

14. The computer program product as set forth in claim 13 wherein the fourth output comprises a quadratic represented by

15. The computer program product as set forth in claim 11 wherein the first output is represented by

16. The computer program product as set forth in claim 11 wherein the second instruction further utilizes the frequency domain equivalent operation

17. The computer program product as set forth in claim 11 wherein the third instruction further represents the third output in a time domain such that

18. The computer program product as set forth in claim 11 further including a fourth instruction for computing an analytic signal by applying Euler'"'"'s identity (e^jθ

=cos θ

+j sin θ

) to the third output, the fourth instruction producing a fourth output.

19. The computer program product as set forth in claim 18 wherein the fourth instruction further applies a predetermined amplitude envelope to produce a signal with a “

shape,”

A(t), defined by s(t)=A(t)e<sup>jφ

(t).</sup>

20. The computer program product as set forth in claim 18 further including a fifth instruction for sampling the fourth output at uniform time intervals, T, such that

s(k)=s(kT)
Re{s(k)}=A(kT)cos φ

(kT)
Im{s(k)}=A(kT)sin φ

(kT).