Peak to average power ratio reduction

A receiver for use in a communication system, the receiver receiving a received signal, the received signal being a function of an original signal and an original distortion, the receiver comprising:

• an estimator, the estimator estimating the distortion of the received signal to provide a final estimate of the original distortion,
• wherein the receiver uses the final estimate of the original distortion to remove the original distortion from the received signal to provide a final estimate of the original signal, whereby the final estimate of the original signal being an estimate of the received signal without the original distortion;
• a decoder coupled to the estimator, the decoder decoding the received signal, wherein in the process of decoding the received signal the decoder makes a first estimate of the original signal, the decoder providing the first estimate of the original signal to the estimator;
• a transformer coupled to the decoder, the transformer performing a transform on the received signal, the transformer providing the transformed received signal to the decoder;
• wherein the original distortion that is part of the received signal is applied to the original signal by an original distortion function, and the estimator including:
• a distorter, wherein the distorter distorts the first estimate of the original signal according to a first distortion function, wherein the application of the first distortion function to the first estimate of the original signal introduces a first distortion, wherein the first distortion provides a first estimate of the distortion.

A receiver for use in a communication system, the receiver receiving a received signal, the received signal being a function of an original signal and an original distortion, the receiver comprising:

• an estimator, the estimator estimating the distortion of the received signal to provide a final estimate of the original distortion, wherein the receiver uses the final estimate of the original distortion to remove the original distortion from the received signal to provide a final estimate of the original signal, whereby the final estimate of the original signal being an estimate of the received signal without the original distortion;
• a decoder coupled to the estimator, the decoder decoding the received signal, wherein in the process of decoding the received signal the decoder makes a first estimate of the original signal, the decoder providing the first estimate of the original signal to the estimator,
• wherein the original signal is a multi-carrier symbol comprised of a plurality of original signals, each of the plurality of original signals centered at a frequency and the received signal is a multi-carrier symbol comprised of a plurality of received signals, each of the plurality of received signals centered at a frequency;
• further wherein the decoder decodes the received signal by applying a maximum likelihood operation on each of the plurality of received signals producing a plurality of first estimates of the plurality of original signals that comprises the first estimate of the original signal;
• further wherein the estimator receives the first estimate of the original signal and applies a first distortion function on the first estimate of the original signal such that one or more of the first estimates of the plurality of original signals are distorted, wherein the distortion of the one or more distorted signals of the first estimates of the plurality of original signals is the first estimate of the original distortion, the estimator providing the first estimate of the original distortion to the decoder.

A method of correcting an original distortion in a received signal in a communication system, wherein an original distortion function is applied to an original signal to introduce the original distortion into the received signal, the method comprising:

• (A) estimating the original distortion of the received signal, thereby providing a final estimate of the original distortion, the step of estimating the original distortion of the received signal comprising:
• (1) performing a transform on the received signal prior to decoding the received signal;
• (2) decoding the received signal, the process of decoding providing a first estimate of the original signal;
• (3) estimating a first estimate of the original distortion based upon the first estimate of the original signal by distorting the first estimate of the original signal by applying a first distortion function to the first estimate of the original signal, wherein the first estimate of the original distortion is introduced into the first estimate of the original signal;
• (4) decoding the received signal in conjunction with the first estimate of the original distortion, providing a next estimate of the original signal;
• (5) estimating a next estimate of the original distortion based upon the next estimate of the original signal;
• (6) decoding the received signal in conjunction with the next estimate of the original distortion and repeating the step of estimating the next estimate of the original distortion and the step of decoding the received signal in conjunction with the next estimate of the original distortion a predetermined number of iterations, whereby the final estimate of the original distortion is determined;
• and
• (B) applying the final estimate of the original distortion to approximately remove the original distortion from the received signal to obtain a final estimate of the original signal.