Tone-independent orthogonalizing lattice per Concealer tone equalizer (TOL-PTEQ) is introduced and its convergence is analyzed.Cyclic-prefix redundancy, one of the major drawbacks of orthogonal frequency division multiplexing (OFDM), can be reduced by TOL-PTEQ.Fast convergence and low computational complexity of Cases TOL-PTEQ are also suitable properties for packet-based wireless communications and detections in which OFDM is widely deployed for their modulation technique.