Method and an apparatus for determining a noise shaped quantized parameter contributing to the generation of an output signal

1. A method for determining a noise shaped quantized parameter contributing to generation of an output signal, comprising:

estimating errors within the output signal using at least two quantizations of a parameter and at least one quantization of a further parameter contributing to generation of the output signal;

selecting one of the at least two quantizations of the parameter based on a selection criteria;

using the selected quantization of the parameter as the noise shaped quantized parameter,

wherein a first estimated error within the output signal is calculated using a first quantization of the parameter and a first quantization of the further parameter, a second estimated error within the output signal is calculated using a second quantization of the parameter and the first quantization of the further parameter, and one of the first quantization or the second quantization of the parameter resulting in a lower estimated error is selected as the noise shaped quantized parameter,

wherein the parameter corresponds to a phase value of the output signal and the further parameter corresponds to a radius value of the output signal,

wherein the calculation of the first estimated error Q new1 and of the second estimated error Q new2 is based on the following expressions:

Q new1 =Q old +rad closest ( t )*2*( T real −T closest )*[cos( w 0 t )− I *sin( w 0 t )];

Q new2 =Q old +rad closest ( t )*2*( T real −T SecondClosest )*[cos( w 0 t )− I *sin( w 0 t )]

wherein rad closest corresponds to a radius value, T real corresponds to the parameter, T closest corresponds to the first quantization of the parameter T real , T SecondClosest corresponds to the second quantization of the parameter T real , w 0 corresponds to a notch frequency and Q old corresponds to a remaining error contribution of an antecedent quantization.

2. The method of claim 1 , further comprising:

calculating a third estimated error within the output signal using the first quantization of the parameter and a second quantization of the further parameter;

calculating a fourth estimated error within the output signal using the second quantization of the parameter and the second quantization of the further parameter; and

selecting a combination of one of the first quantization or the second quantization of the parameter and one of the first quantization or the second quantization of the further parameter resulting in a lowest estimated error as the noise shaped quantized parameter and as a noise shaped quantized further parameter.

3. The method of claim 1 , wherein the first quantization corresponds to a smallest possible distance between the first quantization of the parameter and the parameter; and wherein the second quantization corresponds to a second smallest possible distance between the second quantization of the parameter and the parameter for a quantization scheme used.

4. The method of claim 1 , wherein calculating the first estimated error and the second estimated error comprises:

using information on a notch frequency at which the error within a spectrum of the output signal is small.

5. A method for generating a radio frequency signal based on a phase value as a parameter and a radius value as a further parameter, comprising:

calculating a first estimated error within the radio frequency signal using a first quantization of the phase value and a quantization of the radius value;

calculating a second estimated error within the radio frequency signal using a second quantization of the phase value and the quantization of the radius value; and

selecting one of the first quantization or the second quantization of the phase value based on a selection criteria;

using the selected quantization of the phase value resulting in a lower estimated error as a noise shaped quantized phase value;

using the noise shaped quantized phase value to determine a first analog signal having a phase characteristic depending on the quantized phase value; and

using the quantization of the radius value to determine a second analog signal having an amplitude depending on the quantized radius value.

6. The method of claim 5 , wherein the calculation of the first estimated error and the calculation of the second estimated error use a remaining error contribution of an antecedent quantization.

7. The method of claim 5 , further comprising:

combining the first analog signal and the second analog signal to generate the radio frequency signal.

8. A noise shaper for determining a noise shaped quantized parameter contributing to generation of an output signal, comprising:

an error estimation component configured to receive a parameter and a further parameter contributing to the generation of the output signal, comprising: quantization circuitry configured to calculate at least two quantizations of the parameter and at least one quantization of the further parameter;

error calculation circuitry configured to calculate errors within the output signal using the at least two quantizations of the parameter and the at least one quantization of the further parameter; and

a decision making component configured to select one of the at least two quantizations of the parameter based on the error as the noise shaped quantized parameter,

wherein the error calculation circuitry is configured to calculate a first estimated error within the output signal using a first quantization of the parameter and a first quantization of the further parameter and calculate a second estimated error within the output signal using a second quantization of the parameter and the first quantization of the further parameter, and the decision making component is configured to select one of the first quantization or the second quantization of the parameter resulting in a lower estimated error as the noise shaped quantized parameter,

wherein the parameter corresponds to a phase value of the output signal and the further parameter corresponds to a radius value of the output signal,

wherein the calculation of the first estimated error Q new1 and of the second estimated error Q new2 is based on the following expressions:

Q new1 =Q old +rad closest ( t )*2*( T real −T closest )*[cos( w 0 t )− I *sin( w 0 t )];

Q new2 =Q old +rad closest ( t )*2*( T real −T SecondClosest )*[cos( w 0 t )− I *sin( w 0 t )]

wherein rad closest corresponds to a radius value, T real corresponds to the parameter, T closest corresponds to the first quantization of the parameter T real , T SecondClosest corresponds to the second quantization of the parameter T real , w 0 corresponds to a notch frequency and Q old corresponds to a remaining error contribution of an antecedent quantization.

9. The noise shaper of claim 8 , wherein:

the quantization circuitry is further configured to calculate a second quantization of the further parameter; and

the error calculation circuitry is further configured to calculate a third estimated error within the output signal using the first quantization of the parameter and the second quantization of the further parameter and a fourth estimated error within the output signal using the second quantization of the parameter and the second quantization of the further parameter;

wherein the decision making component is configured to select a combination of one of the first quantization or the second quantization of the parameter and one of the first quantization or the second quantization of the further parameter resulting in a lowest estimated error.

10. An apparatus for determining a noise shaped quantized parameter contributing to generation of an output signal, comprising:

an error estimating means adapted to estimate errors within the output signal using at least two quantizations of a parameter and at least one quantization of a further parameter contributing to generation of the output signal; and

a processing means adapted to select one of the at least two quantizations of the parameter based on a selection criteria and use the selected quantization of the parameter as the noise shaped quantized parameter,

wherein the error estimating means is configured to calculate a first estimated error within the output signal using a first quantization of the parameter and a first quantization of the further parameter and calculate a second estimated error within the output signal using a second quantization of the parameter and the first quantization of the further parameter, and the processing means is configured to select one of the first quantization or the second quantization of the parameter resulting in a lower estimated error as the noise shaped quantized parameter,

wherein the parameter corresponds to a phase value of the output signal and the further parameter corresponds to a radius value of the output signal,

wherein the calculation of the first estimated error Q new1 and of the second estimated error Q new2 is based on the following expressions:

Q new1 =Q old +rad closest ( t )*2*( T real −T closest )*[cos( w 0 t )− I *sin( w 0 t )];

Q new2 =Q old +rad closest ( t )*2*( T real −T SecondClosest )*[cos( w 0 t )− I *sin( w 0 t )]

wherein rad closest corresponds to a radius value, T real corresponds to the parameter, T closest corresponds to the first quantization of the parameter T real , T SecondClosest corresponds to the second quantization of the parameter T real , w 0 corresponds to a notch frequency and Q old corresponds to a remaining error contribution of an antecedent quantization.