All students are required to prove a good level of English (TOEFL: minimum 573pts paper-based, 230pts computer-based; 88pts internet-based or similar). If undergraduate studies have been held in English, it is sufficient to provide a certification by the university.

• Application form.
• Certified copies of BSc or a MSc Diploma of a high scientific level.
• Official transcript of records from each institution attended at University level.
• TOEFL score report or equivalent language certification.
• Curriculum Vitae.
• 2 Letters of Reference.
• Statement of purpose/description of your professional and academic background.
• Other documents that might clarify the qualifications of the applicant, e.g. GRE test (recommended but not mandatory) and a short summary of the BSc or MSc thesis work of the applicant.

• Application form with the approval of your home institution.
• Official transcript of records from each institution attended at University level.
• TOEFL score report or equivalent language certification.
• Curriculum Vitae.
• 2 Letters of Reference.

At least 110 UPC credits (88 ECTS) from the second cycle, including compulsory courses of 3B, 4A and 4B.
All students are required to prove a good level of English (TOEFL: minimum 573pts paper-based, 230pts computer-based; 88pts internet-based or Certificate in Advanced English, CAE).

• Application form
• TOEFL score report, or the Certificate in Advanced English.
• Curriculum Vitae

Mathematics
Linear algebra, analysis, and probability theory, e.g. corresponding to the following text: LEON-GARCIA, A. Probability and random processes for electrical engineering. 2nd. ed. Addison Wiley, 1994 or PAPOULIS, A. Probability random variables and stochastic processes. 3rd. ed. McGraw Hill, 1991.

Linear Systems
Time continuous and time discrete signals and systems, e.g. corresponding to the following text: OPPENHEIM, A.V. and SHAFER, R.W. Discrete-time signal processing. 2nd ed. Prentice Hall, 1999.

Electronic Design
For analog circuits it is assumed a good knowledge of bipolar and MOS devices and basic circuits(a good reference is the SEDRA & SMITH´s "Microelectronic circuits" 4th ed., Oxford University Press) and operational amplifier based circuits(FRANCO, SERGIO. "Design with operational ampifiers and analog integrated circuits", Mc Graw Hill). Knowledge on digital design is required too, corresponding to: M.D. ERCEGOVAC, T. LANG and MORENO,J.H., "Introduction to digital systems", John Wiley, 1999, chapters 1-11.

Network Communications
PETERSON, LARRY and DAVIES, BRUCE. "Computer networks: A system aproach", 3rd ed., Morgan Kauffman, 2003, or STALLINGS, W. "Data and computer communications. 5th ed. Prentice Hall, 1997.

Software engineering including programming (C or equivalent)
STALLINGS, W. Computer organization and architecture. Designing for performance. 5th. ed. Prentice Hall, 2000.

Fundamental classical electromagnetics in simple media
Corresponding to LORRAIN, P., CORSON, D.R. and LORRAINE, F. Electromagnetic fields. Freeman, 1988.