Most common departmental structure for degrees in EE, CE, and ECE
CE program has actually been formed to address the digital-electronic-driven technologies, considerably, related to the computer technology, such as computer architecture, parallel processing, VLSI, CAD, etc. 

EE program points to the electrical-driven stuffs like power engineering, analog electronics and semi-conductors, telecommunications and so on.

ECE program would often be considered as a mixture of the above cases. As a matter of fact, some minor interdisciplinary programs like robotics, neural engineering and bio-medical engineering could be covered under the aegis of such program.

Above clarifications might be fuzzy and even interchangeable in many cases. One could contend that the applicant must opt among the aforeaid programs, solely, based on the faculty members' research, are who affiliated with the responsible department of each program, are which mostly-aligned with his/her interests.