Polar noise shaping
View Patent ↗Methods and apparatus, including computer program products, are provided for polar noise shaping. In one aspect there is provided a method. The method may include receiving a first error signal representative of a first noise including a first quantization noise carried by a quadrature signal; receiving a second error signal representative of a second noise including a second quantization noise carried by an in-phase signal; and determining one or more bits in a polar domain, wherein the one or more bits cancel a portion of the first noise and the second noise represented by the first error signal and the second error signal. Related apparatus, systems, methods, and articles are also described.
1. A method comprising:
receiving a first error signal representative of a first noise including a first quantization noise carried by a quadrature signal;
receiving a second error signal representative of a second noise including a second quantization noise carried by an in-phase signal;
determining one or more least significant bits that cancel at least a portion of the first noise and the second noise represented by the first error signal and the second error signal, wherein the one or more least significant bits are determined, by at least two parallel sigma delta modulators, from at least the first error signal and the second error signal, wherein the two parallel sigma delta modulators determine, in a rectangular domain, an amount needed to cancel the first noise and the second noise, and convert, into a polar domain, the amount to the one or more least significant bits; and
combining, in the polar domain, the one or more least significant bits with an amplitude signal and a phase signal to cancel the portion of the first noise and the second noise.
2. The method of claim 1 , wherein the combining comprises subtracting, in the polar domain, the one or more least significant bits with the amplitude signal and the phase signal to cancel the portion of the first noise and the second noise.
3. The method of claim 1 , wherein the two parallel sigma delta modulators each have a feedback gain adaptively chosen according to at least the amplitude signal, the phase signal, and one or more signs of outputs of the two parallel sigma delta modulators.
4. The method of claim 3 further comprising:
choosing the feedback gain proportional to a rectangular domain change equivalent of one or more least significant bit changes of the amplitude signal and the phase signal.
5. The method of claim 3 further comprising:
choosing from one or more gain levels, one of the gain levels providing a high gain in the two parallel sigma delta modulators.
6. The method of claim 1 , wherein the two parallel sigma delta modulators have different non-even quantizer levels, and wherein the non-even quantizer levels are adaptively chosen according to at least the amplitude signal, the phase signal, and one or more signs of outputs of the two parallel sigma delta modulators.
7. The method of claim 6 further comprising:
choosing the non-even quantizer levels, such that the non-even quantizer levels are proportional to rectangular domain change equivalents of the changes of the one or more least significant bits of the amplitude signal and the phase signal.
8. The method of claim 1 , wherein the first noise or the second noise is due in part to at least one of a regular or an irregular step size of quantized polar domain signals.
9. The method of claim 1 , wherein the conversion into the amount is based at least on polar domain feedback signals.
10. An apparatus comprising:
at least one processor circuitry; and
at least one memory circuitry including computer program code, the at least one memory circuitry and the computer program code configured to, with the at least one processor circuitry, cause the apparatus configured to perform at least the following:
receive a first error signal representative of a first noise including a first quantization noise carried by a quadrature signal;
receive a second error signal representative of a second noise including a second quantization noise carried by an in-phase signal;
determine one or more least significant bits that cancel at least a portion of the first noise and the second noise represented by the first error signal and the second error signal, wherein the one or more least significant bits are determined, by at least two parallel sigma delta modulators, from at least the first error signal and the second error signal, wherein the two parallel sigma delta modulators determine, in a rectangular domain, an amount needed to cancel the first noise and the second noise, and convert, into a polar domain, the amount to the one or more least significant bits; and
combine, in the polar domain, the one or more least significant bits with an amplitude signal and a phase signal to cancel the portion of the first noise and the second noise.
11. The apparatus of claim 10 , wherein the combine is configured to include a subtract, in the polar domain, the one or more least significant bits with the amplitude signal and the phase signal to cancel the portion of the first noise and the second noise.
12. The apparatus of claim 10 , wherein the two parallel sigma delta modulators each have a feedback gain adaptively chosen according to at least the amplitude signal, the phase signal, and one or more signs of outputs of the two parallel sigma delta modulators.
13. The apparatus of claim 12 , wherein the apparatus is further configured to at least choose the feedback gain proportional to a rectangular domain change equivalent of one or more least significant bit changes of the amplitude signal and the phase signal.
14. The apparatus of claim 12 , wherein the apparatus is further configured to at least choose from one or more gain levels, one of the gain levels providing a high gain in the two parallel sigma delta modulators.
15. The apparatus of claim 10 , wherein the two sigma delta modulators have different non-even quantizer levels, and wherein the non-even quantizer levels are adaptively chosen according to at least the amplitude signal, the phase signal, and one or more signs of outputs of the two parallel sigma delta modulators.
16. The apparatus of claim 15 , wherein the apparatus is further configured to at least choose the non-even quantizer levels, such that the non-even quantizer levels are proportional to rectangular domain change equivalents of the changes of the one or more least significant bits of the amplitude signal and the phase signal, wherein the first noise or the second noise is due in part to at least one of a regular or an irregular step size of quantized polar domain signals.
17. A non-transitory computer-readable storage medium including computer program code, which when executed by at least one processor circuitry causes operations comprising:
receiving a first error signal representative of a first noise including a first quantization noise carried by a quadrature signal;
receiving a second error signal representative of a second noise including a second quantization noise carried by an in-phase signal;
determining one or more least significant bits that cancel at least a portion of the first noise and the second noise represented by the first error signal and the second error signal, wherein the one or more least significant bits are determined, by at least two parallel sigma delta modulators, from at least the first error signal and the second error signal, wherein the two parallel sigma delta modulators determine, in a rectangular domain, an amount needed to cancel the first noise and the second noise, and convert, into a polar domain, the amount to the one or more least significant bits; and
combining, in the polar domain, the one or more least significant bits with an amplitude signal and a phase signal to cancel the portion of the first noise and the second noise.