Reduced complexity multicarrier precoder
A reduced complexity precoder provides an efficient method and structure to precode a vector-signal-point sequence for transmission through a band-limited channel. The precoder enables a block-oriented receiver to recover an underlying data stream in the presence of inter-symbol interference and noise. The precoder structure is applicable to multicarrier systems such as DMT (discrete multitone) or related transform domain and vector communication systems. The inventive precoder reduces the cost of precoding by an order of magnitude and eliminates the need for a cyclic prefix in DMT and related communication systems. Related multicarrier transmitter and receiver structures and methods which reduce computation, increase transmission bandwidth and reduce transmission power are also developed.
1. An apparatus comprising:
a first unit operatively enabled to establish a set of precoder parameters based at least in part from a parametric channel model for a bandlimited wireline communication channel carrying a sequence of N-element time domain signal vectors where N is an integer, and where the signal vectors do not include respective cyclic prefixes;
a second unit operatively enabled to establish one or more frequency-domain encoded data blocks to be transformed to one or more precoded data vectors, wherein the precoded data vectors cause a measure of inter-vector distortion to be reduced at a receiver, the second unit using the set of precoder parameter to compute a precoding mathematical operation in an orthogonal transform domain wherein a plurality of precoding cross terms are eliminated to reduce computational requirements during one or more order-of-N-squared matrix multiplication operations; and
a third unit operatively enabled to establish a time domain signal vector based at least in part on at least one of the one or more precoded data vectors.
2. The apparatus of claim 1 , wherein the first unit is operatively enabled to establish a vector of complex integer moduli for use by a point-wise modulo reduction function.
3. The apparatus of claim 1 , wherein the second unit further comprises a frequency domain up-sampling function operatively enabled to transform an N-element frequency domain vector to a 2N-element frequency domain vector.
4. The apparatus of claim 1 , wherein the second unit further comprises a feed-forward point-wise multiply function and a feedback point-wise multiply function, and the feed-forward and feedback point-wise multiply functions operate on length 2N element vectors.
5. The apparatus of claim 1 , wherein the one or more precoded data vectors comprises a precoder feed-forward parameter vector and a precoder feedback parameter vector, and wherein the precoder feed-forward parameter vector and the feedback parameter vector each have 2N elements.