Data Converters


In the field of baseband circuit design, the course will focus the study on two important analog functions: analog-digital / digital-analog conversion, and phase-lock capture.


In the area of analog to digital conversion, and vice-versa, Nyquist and Sigma-Delta type converters are analyzed and projected.


The student will develop the ability to solve problems, work in a team and autonomously. Students also will learn how to improve their ability to manage the available time. Special attention is given to the ability of written and oral presentation of the work.

General characterization





Responsible teacher

Nuno Filipe Silva Veríssimo Paulino


Weekly - 4

Total - 56

Teaching language



Basic knowledge on MOS devices and switched capacitor circuit operation is required, also background on analog filters and amplifiers.

Laplace and Z transform.


“Analog Integrated Circuit Design” by David Johns and Ken Martin ISBN: 0471144487

      “Understanding Delta-Sigma Data Converters” by Richard Schreier and Gabor C. Temes ISBN: 0471465852


      IEEE data base

Teaching method

Theoretical exposition of the subjects complemented by problem solving. Audiovisual aids are used. Laboratorial work about A/D, D/A and sigma delta systems, using  software implementations.

Evaluation method

Evaluation Methods

 The stundents are evaluated based on two components: theory (T) and laboratory (T). The final grade is calculated using the formula Gf=0.6*T+0.4*P. The grade ranges from 0 to 20 values where 9.5 is considered a positive grade. In order to have a positive grade it is necessary for both T and L to be greater than 9.5 values.

 The students must have a positive grade in the lab components in order to be evaluated in the theory component. This means that the student must do 3 lab projects and write the corresponding reports.

 The theory component is obtained either by a final exam or by 3 tests. The students cannot use any books or notes during the tests or exam, they can only use computing devices with a memory smaller than 1MB and without networking capabilities. The grade of the last test must be larger than 8 values.

Subject matter

The syllabus of the course is:

      Data conversion

¨     Principles of A/D and D/A

¨     Sampling

¨     Useful metrics

     Nyquist data converters

¨     Digital to analog converter architectures

¨     Analog to digital converter architectures

    Oversampling data converters

¨     First and second order sigma delta modulators modulators

¨     Cascaded SD architectures

¨     Interpolation and decimation filters



Programs where the course is taught: