Linear prediction: mathematics and engineering

Linear prediction: mathematics and engineering

We present an introduction to some aspects of digital signal processing and time series analysis which are not always covered in classical textbooks. One of the objectives is to illustrate how mathematics and engineering can be combined in a fruitful interplay, resulting in many new techniques and methods in many different fields. We shall illustrate how the prediction problem is related to lin...

Engineering, Computing and Mathematics

s of Postgraduate Dissertations ................................................................................ 19 Abstracts of Final Year Project Dissertations .......................................................................... 22 s of Final Year Project Dissertations .......................................................................... 22 

Reverse-engineering Reverse Mathematics

An important open problem in Reverse Mathematics ([16, 25]) is the reduction of the first-order strength of the base theory from IΣ1 to I∆0 + exp. The system ERNA, a version of Nonstandard Analysis based on the system I∆0 + exp, provides a partial solution to this problem. Indeed, Weak König’s lemma and many of its equivalent formulations from Reverse Mathematics can be ‘pushed down’ into ERNA,...

Mathematics in Chemical Engineering

Mathematics of Engineering Systems

Instructor: Serdar Yüksel, Jeffrey Hall 415, Phone: 533–2429, E-mail: [email protected] Marker and TA: TBA Office Hour: Thursdays 13:30-14:20 Supplemental Text: Supplemental Notes will be posted on the course web site References: Modern Signals and Systems, by H. Kwakernaak and R. Sivan, Fourier Analysis and Applications, by C. Gasquet and P. Witomski, Applied Analysis, by J. K. Hunter and...