Digital Filters

Part I: Fundamentals and Filter Design (weeks 1-7)

Lecturer: Assoc. Prof. Dušan Kocur, PhD.

Part II: Realization and Implementation (weeks 8-13)

Lecturer: Assoc. Prof. Miloš Drutarovský, PhD.

Detailed Overview of Lectures
Detailed Overview of Lessons
Projects for Students

Credits: 5
Lectures/Exercises: 2/2e (The subject is taught in English)

Abstract:

Discrete-time signals and systems (time-domain, frequency-domain, transform-domain signal and system representation). Introduction to digital filter theory (definitions of basic terms, filter specifications, frequency response of linear phase FIR digital filters). Linear-phase FIR digital filter design (windows method, frequency-sampling methods, equiripple digital filter design). IIR digital filter design (method of approximation of derivatives, matched Z-transform method, impulse-invariant method, method of bilinear transformation). Frequency transformations. Digital filter (direct realizations, parallel realizations, cascade realizations, FFT-based realizations). Digital filter implementation (overview of hardware for digital filters implementation, finite word length problems, coefficient quantization, scaling in fixed-point arithmetic).

Fundamentals and Filter Design
Lectures

Discrete-Time Signals and Systems. Summary (PDF_1, PDF_2, slides_1)
Introduction to Digital Filters (PDF_2, slides_2)
FIR Digital Filter. Introduction (PDF_2)
Linear-Phase FIR Digital Filter Design (PDF_3, PDF_4, PDF_5, slides_3, slides_4,slides_5)
Design of IIR Digital Filters from Analogous Filters (PDF_5, PDF_6)
Frequency Transformations. A Review.

Lessons

Digital Filters. Subject Review.
MATLAB: A Tool for Digital Filter Design and Simulation I. (PDF_1, PDF_2_3)
Linear-Phase FIR Digital Filter Design by Windows (Windowing) Method. (PDF_3, PDF_4, PDF_4_app)
Linear-Phase FIR Digital Filter Design by Frequency-Sampling Methods. (PDF_5, PDF_6)
MATLAB: A Tool for Digital Filter Design and Simulation II.
IIR Digital Filter Design. Bilinear Transformation Method. (PDF_7)

Realization and Implementation
Lectures

Digital Filter Realization (direct, parallel,cascade) (PDF_8)
Digital Filter Realization (FFT-based realizations, robust digital filter structures) (PDF_9)
Digital Filter Implementation (PDF_10_11)

Lessons

Digital Filter Realization (PDF_8, PDF_9)
Digital Filter Implementation (PDF_10, PDF_11)
Hardware Implementation of Digital Filters (PDF_12)

Software:

FilterExpress (Digital Filter Synthesis v5.1) (free registration needed)
Matlab m-file for demonstration of instability of direct IIR filter realization in Matlab environment
Source codes for Matlab v.4.2.1 from the book [2]
Matlab IIR filter design (includes proper scaling and quatization)
Matlab functions for porting FIR and IIR filters to fixed-point Analog Devices DSPs

References:

[1] Proakis, J.G.-Manolakis, D.G.: Introduction to Digital Signal Processing. Macmillan Publishing Company, New York. Collier Macmillan Publishers, London. 1988. (pp. 35-88, 331-342, 559-580, 595-612, 631-635)
[2] Porat, B.: A Course I Digital Signal Processing. John Wiley&Sons, Inc.1996. (pp. 242-252, 263-264, 284-298).
[3] Mitra, S.K.-Kaiser, F.J.: Handbook for Digital Signal Processing. John Wiley&Sons, Inc.1993. (pp. 62-73, 101-123, 163-164, 174-189, 293-302).
[4] Rabiner, L.R.-Gold, B.: Theory and Application of Digital Signal Processing. Prentice-Hall, Englewood Cliffs, NJ, 1975. (pp. 75-77, 88-94, 105-110, 210-226).