Carrier phase and amplitude estimation for phase shift keying using pilots and data

A non-transitory processor readable medium, comprising instructions for causing a processor to carry out a method for estimating the carrier phase and amplitude in a received signal by a receiver including hardware components, comprising:

• receiving, by the receiver, a signal comprising a plurality of symbols modulated using one or more M-ary phase shift keying digital modulation schemes, the plurality of symbols comprising a plurality of pilot symbols known to the receiver, and a plurality of data symbols unknown to the receiver;
• calculating the M-ary rounded phase offset from the received signal for each one of the received plurality of data symbols;
• obtaining a sorted order of the data symbols, wherein the sorted order is determined using the M-ary rounded phase offsets;
• calculating a plurality of candidate values of an objective function, wherein the objective function is optimised with respect to estimation of the carrier phase and amplitude, and each candidate value after a first candidate estimate is calculated recursively from the previous candidate value, wherein the order of the calculation is determined according to the sorted order of the data symbols;
• and
• determining an optimum candidate value from the plurality of candidate values, and determining the carrier phase and amplitude associated with the optimum candidate value.

A receiver comprising:

• a receiver module for receiving a signal, the receiver module including receiver hardware components;
• and
• a processing module including processing hardware components, the processing module comprising a memory and a processor operatively coupled to the memory and configured to carry out a method for estimating the carrier phase and amplitude in a received signal by the receiver, the method comprising:
• receiving a signal comprising a plurality of symbols modulated using one or more M-ary phase shift keying digital modulation schemes, the plurality of symbols comprising a plurality of pilot symbols known to the receiver, and a plurality of data symbols unknown to the receiver;
• calculating the M-ary rounded phase offset from the received signal for each one of the received plurality of data symbols;
• obtaining a sorted order of the data symbols, wherein the sorted order is determined using the M-ary rounded phase offsets;
• calculating a plurality of candidate values of an objective function, wherein the objective function is optimised with respect to estimation of the carrier phase and amplitude, and each candidate value after a first candidate estimate is calculated recursively from the previous candidate value, wherein the order of the calculation is determined according to the sorted order of the data symbols;
• and
• determining an optimum candidate value from the plurality of candidate values, and determining the carrier phase and amplitude associated with the optimum candidate value.

A communication system comprising:

• a transmitter including transmitter hardware components;
• and
• a receiver including receiver hardware components, the receiver comprising:
• a receiver module for receiving a signal;
• a processing module comprising a memory and a processor operatively coupled to the memory and configured to carry out a method for estimating the carrier phase and amplitude in a received signal by the receiver comprising:
• receiving a signal comprising a plurality of symbols modulated using one or more M-ary phase shift keying digital modulation schemes, the plurality of symbols comprising a plurality of pilot symbols known to the receiver, and a plurality of data symbols unknown to the receiver;
• calculating the M-ary rounded phase offset from the received signal for each one of the received plurality of data symbols;
• obtaining a sorted order of the data symbols, wherein the sorted order is determined using the M-ary rounded phase offsets;
• calculating a plurality of candidate values of an objective function, wherein the objective function is optimised with respect to estimation of the carrier phase and amplitude, and each candidate value after a first candidate estimate is calculated recursively from the previous candidate value, wherein the order of the calculation is determined according to the sorted order of the data symbols;
• and
• determining an optimum candidate value from the plurality of candidate values, and determining the carrier phase and amplitude associated with the optimum candidate value;
• wherein the transmitter is configured to implement said one or more M-ary phase shift keying digital modulation schemes and transmits said plurality of symbols comprising the plurality of pilot symbols known to the receiver, and the plurality of data symbols unknown to the receiver.