Method for estimating time-varying and frequency-selective channels

A method for estimating time-varying and frequency-selective channels in an orthogonal frequency division multiplexing (OFDM) network, comprising:

• storing, in a buffer at a receiver, a received signal corresponding to a set of pilot tones of a set of OFDM symbols, wherein the pilot tones are predetermined and inserted in frequency subcarriers and time slots of the OFDM symbol;
• estimating a covariance matrix of the received signal;
• estimating, using a compressed sensing, a diagonal matrix Q based on the covariance matrix and a variance of noise in the received signal, wherein the diagonal matrix indicates delays of non-zero paths in a time domain;
• estimating jointly over multiple OFDM symbols a channel impulse response (CIR) h[k] for each OFDM symbol k using the diagonal matrix, and the received, signal according to
• h[k]=Qr[k],
• wherein r[k] is a vector of an actual coefficient gain at the OFDM symbol, k;
• and
• transforming the CIR to the frequency domain to obtain a channel frequency response (CFR).