Advanced Filter Design ET2402 (ETD015)

The purpose of the course is to give profound knowledge regarding properties and the design of digital filters, as well as giving an understanding to the term optimal filter design. Emphasis is given to the least squares- (LS) and the minimax-criterion for designing nonrecursive, Finite Impulse Response (FIR) filters. For example, the optimal window is defined by a compromise of the LS and minimax criterions. The course also covers filters with minimum delay, i.e. minimum phase filters and filters with arbitrarily specified amplitude and phase response.

Methods such as least squares, Remes exchange algorithm, linear and quadratic programming, and spectral factorization for designing FIR filters are parts of this course. The optimization methods are considered general design tools for construction of filters with arbitrary frequency specifications, i.e. by using design constraints on amplitude function, phase function, and group delay function. Other methods are also included in the course, such as a Cepstrum based method for minimum phase FIR filter design. The course focus on giving profound knowledge of the mathematical formulations and their solutions. A number of excercises are presented to illustrate the theory. These excersises constitute mandatory parts of the course, and tasks in the excercises should be presented in the final report.

Course objective is to prepare students to research within the field or a specialized industrial application in the field.

For more information view the Advanced Filter Design course homepage.

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