Methods of compensating for source signature effects in seismic data are described. One method includes a step of receiving seismic data recorded with a receiver; a step of receiving source data of the seismic waves generated by the moving source; a step of receiving position data of the source while generating the seismic waves; a step of determining a transform operator using the source data, the position data, and a selected domain-transform operator; a step of determining a seismic model by mathematically optimizing a relationship between the transform and the seismic data; and a step of compensating for the source signature effects in the seismic data using the seismic model. A method for generating an image of a subsurface of a geographical area using seismic data includes compensating the seismic data for source signature effects using a model which assumes a moving, non-impulsive source.