Abstract: An apparatus and method for channel estimation comprising obtaining a response matrix G(l) using Q quantity pilots; constructing a sensing matrix Wsensing based on K quantity tones, L quantity symbols and P quantity multipaths; and using compressive sensing channel estimation to determine an equivalent channel matrix Gp(i) based on the response matrix G(l) and the sensing matrix Wsensing.

Abstract: An apparatus and method for compressive sensing tap identification for channel estimation comprising identifying a set of significant taps in the time domain; representing a time-flat channel response using a Taylor series expansion with the set of significant taps; converting the time-flat channel response to a vectorized channel response; transforming the vectorized channel response to a compressive sensing (CS) polynomial frequency response; aggregating the CS polynomial frequency response into a stacked frequency response; converting the stacked frequency response into a measured pilot frequency response; estimating a channel parameter vector based on the measured pilot frequency response; and generating a reconstructed channel response from the channel parameter vector.

Abstract: An apparatus and method for channel estimation comprising determining a channel impulse response using a Taylor series expansion with a plurality of Taylor series coefficients; determining a channel frequency response based on the channel impulse response; collecting the channel frequency response over a plurality of symbols to obtain a composite channel frequency response; generating a sensing matrix based on the Taylor series expansion; and determining the plurality of Taylor series coefficients based on the composite channel frequency response and the sensing matrix using compressive sensing channel estimation.

Abstract: An apparatus and method for compressive sensing tap identification for channel estimation comprising identifying a set of significant taps in the time domain; representing a time-flat channel response using a Taylor series expansion with the set of significant taps; converting the time-flat channel response to a vectorized channel response; transforming the vectorized channel response to a compressive sensing (CS) polynomial frequency response; aggregating the CS polynomial frequency response into a stacked frequency response; converting the stacked frequency response into a measured pilot frequency response; estimating a channel parameter vector based on the measured pilot frequency response; and generating a reconstructed channel response from the channel parameter vector.

Abstract: An apparatus and method for channel estimation comprising obtaining a response matrix G(l) using Q quantity pilots; constructing a sensing matrix Wsensing based on K quantity tones, L quantity symbols and P quantity multipaths; and using compressive sensing channel estimation to determine an equivalent channel matrix Gp(i) based on the response matrix G(l) and the sensing matrix Wsensing.

Abstract: An apparatus and method for channel estimation comprising determining a channel impulse response using a Taylor series expansion with a plurality of Taylor series coefficients; determining a channel frequency response based on the channel impulse response; collecting the channel frequency response over a plurality of symbols to obtain a composite channel frequency response; generating a sensing matrix based on the Taylor series expansion; and determining the plurality of Taylor series coefficients based on the composite channel frequency response and the sensing matrix using compressive sensing channel estimation.