Method, apparatus and computer program for determining an interpolated complex valued sample

1. A method for determining an interpolated complex sample, comprising:

receiving at a radial interpolation circuit a first complex sample comprising a first radial sample component and a first phase sample component;

receiving at the radial interpolation circuit a second complex sample comprising a second radial sample component and a second phase sample component; and

determining, using the radial interpolation circuit, an interpolated radial sample component of the interpolated complex sample using the first radial sample component and the first phase sample component of the first complex sample, and using the second radial sample component and the second phase sample component of the second complex sample.

2. The method of claim 1 , further comprising:

determining, using a phase interpolation circuit, an interpolated phase component of the interpolated complex sample using the first radial sample component and the first phase sample component of the first complex sample, and using the second radial sample component and the second phase sample component of the second complex sample.

3. The method of claim 1 , wherein using the first and second phase sample components comprises calculating a phase difference between the first complex sample and the second complex sample.

4. The method of claim 1 , wherein determining of the interpolated complex sample comprises determining at least one interpolated complex number.

5. The method of claim 4 , wherein an accuracy of the determination of the interpolated complex number is variable.

6. The method of claim 4 , wherein the determining of the at least one interpolated complex number comprises an evaluation of a Taylor series.

7. The method of claim 6 , wherein an order of the Taylor series is variable.

8. The method of claim 4 , wherein the determination of the interpolated complex number further uses a third radial sample component and a third phase sample component of a third complex sample.

9. The method of claim 8 , wherein determining of the at least one interpolated complex number comprises an evaluation of a Spline interpolation or of a Lagrange interpolation using the first, second and third complex samples.

10. The method of claim 1 , wherein determining the radial sample component of the interpolated complex sample comprises:

determining a first portion of the interpolated radial sample component of the interpolated complex sample using the first and second radial components of the first complex sample and of the second complex sample, respectively;

determining a second portion of the interpolated radial sample component of the interpolated complex sample using the first and second radial sample components and the first and second phase sample components of the first complex sample and of the second complex sample; and

combining the first portion of the interpolated radial sample component and the second portion of the interpolated radial sample component.

11. A method for determining an interpolated complex sample, comprising:

in a first operation mode,

determining, using a radial interpolation circuit, an interpolated radial sample component of the interpolated complex sample using a radial component and a phase component of a first complex sample and of a second complex sample, and

determining, using a phase interpolation circuit, an interpolated phase sample component of the interpolated complex sample using the phase component and the radial component of the first complex sample and of the second complex sample; and

in a second operation mode,

determining, using the radial interpolation circuit, the interpolated radial sample component of the interpolated complex sample using only the radial component of the first complex sample and of the second complex sample, and

determining, using the phase interpolation, the interpolated phase sample component of the interpolated complex sample using only the phase component of the first complex sample and of the second complex sample.

12. An interpolator, comprising:

a phase interpolation circuit configured to receive first and second complex samples comprising first and second radial sample components and first and second phase sample components, respectively;

wherein the phase interpolation circuit is further configured to determine an interpolated phase component of an interpolated complex sample using the first and second phase sample components and the first and second radial sample components.

13. The Interpolator of claim 12 , further comprising

a radial interpolation circuit configured to determine an interpolated radial component of the interpolated complex sample using the first and second radial sample components and the first and second phase sample components.

14. A computer program having a program code stored on a non-transitory storage medium for performing a method when the computer program is executed on a computer or processor, the method comprising:

receiving at a radial interpolation circuit a first complex sample comprising a first radial sample component and a first phase sample component;

receiving at the radial interpolation circuit a second complex sample comprising a second radial sample component and a second phase sample component; and

determining, using the radial interpolation circuit, an interpolated radial sample component of the interpolated complex sample using the first radial sample component and the first phase sample component of the first complex sample, and using the second radial sample component and the second phase sample component of the second complex sample.