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This research examined the theory and application of using discrete multi-tone (DMT) frequency-domain equalization (FEQ) with communications systems that inherently posses null-tones in their respective transmission frequencies. DMT-FEQ relies on null-tones to equalize a non-ideal channel. A Hadamard encoded code division multiple access (CDMA) communications system with up to 32 synchronous users nd a transform domain communications system TDCS) with one user were investigated. Both communications systems were stimulated while operating with real channel data corrupted by noise. Simulation results showed that the Hadamard encoded CDMA system worked well with DMT-FEQ only when the transmission signal obeyed DMT-FEQ null-tone conditions in conjuction with a vector estimation method. Simulation results also showed that modifications to TDCS with a conjugate-symmetric phase component in conjunction with a modified spectral mask with consecutive null-tones and forced null-tones provided acceptable results when equalizing with DMT-FEQ. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally a