The ionosphere has a time-varying electron content. The electron content has a significant effect on the signals emitted in the ionosphere. For this effect to be examined, it is important to estimate and map the total electron content. In addition, historical archiving is important in terms of the typical behaviors shown by the ionosphere with long-term examinations and the extraction of instant disturbances at certain days and times. Although compressive sensing has application in many areas, the studies on the ionosphere are negligible. In addition to the studies for estimating the total electron content, compressive sensing method was used in this study. It has been shown that the ionosphere maps are sparsely structured and are estimated by compressive sensing methods. The estimation performances of random and clustered observation methods is compared.