Analysis and Synthesis of Audio Signals

Data is displayed for academic year: 2023./2024.

Lecturers

Prof.
Siniša Fajt
Prof.
Antonio Petošić

Course Description

Analysis and synthesis of audio signals is significant in all aspects of modern communication audio systems and audio technologies. Therefore it is necessary to know: Detection and classification of acoustic audio signals. Time and frequency presentation of audio signals and audio systems. Theory and application of frequency analysis (MLSSA, TDS, ETC, etc.). Autocorrelation function and acoustic audio spectrum. Filters and filtering techniques. Rapid Fourier transform and filter analysis of transient audio signals. Cross spectrum. Coherence. Frequency response functions. Correlation functions. Impulse response functions. Kepstral analysis. Impact of space parameters on impulse response in acoustic audio technologies. Sound field visualization. Synthesis of acoustic audio.

Study Programmes

University graduate
[FER3-HR] Audio Technologies and Electroacoustics - profile
Elective Courses (2. semester)
Elective Courses of the Profile (2. semester)
[FER3-HR] Communication and Space Technologies - profile
Elective Courses (2. semester)
[FER3-HR] Computational Modelling in Engineering - profile
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[FER3-HR] Computer Engineering - profile
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[FER3-HR] Computer Science - profile
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[FER3-HR] Control Systems and Robotics - profile
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[FER3-HR] Data Science - profile
Elective Courses (2. semester)
[FER3-HR] Electrical Power Engineering - profile
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[FER3-HR] Electric Machines, Drives and Automation - profile
Elective Courses (2. semester)
[FER3-HR] Electronic and Computer Engineering - profile
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[FER3-HR] Electronics - profile
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[FER3-HR] Information and Communication Engineering - profile
Elective Courses (2. semester)
[FER3-HR] Network Science - profile
Elective Courses (2. semester)
[FER3-HR] Software Engineering and Information Systems - profile
Elective Courses (2. semester)
[FER2-HR] Electronics - profile
Specialization Course (2. semester)

Learning Outcomes

  1. analyze different types of audio signals
  2. analyze the electroacoustic system using the input and output audio signal
  3. apply different filters and filtering techniques
  4. apply the coherence of the audio signal
  5. apply the frequency response function
  6. analyze the space parameter impact on impulse response in acoustic technologies
  7. describe the visualization of sound field
  8. evaluate the synthesis of audio signals

Forms of Teaching

Lectures

Theoretical foundations of audio signal analysis and synthesis are discussed. The theoretical part is supplemented by demonstrations, when possible.

Seminars and workshops

Students will write a seminar in the field of audio signal analysis and synthesis.

Exercises

Students will solve mathematical tasks of analysis and synthesis of audio signals.

Laboratory

Students will analyze the elements of audio signal analysis and synthesis through laboratory exercises in small groups.

Grading Method

Continuous Assessment Exam
Type Threshold Percent of Grade Threshold Percent of Grade
Laboratory Exercises 0 % 15 % 0 % 15 %
Seminar/Project 0 % 15 % 0 % 15 %
Mid Term Exam: Written 0 % 20 % 0 %
Final Exam: Written 0 % 20 %
Final Exam: Oral 30 %
Exam: Written 0 % 40 %
Exam: Oral 30 %

Week by Week Schedule

  1. Probability density function; Frequency spectra; Rate of change
  2. Use of transformations in extraction of audio signals features, Use of signal processing in extraction of audio signals features
  3. Analysis and extraction of audio signals features, Musical signal in the time and frequency domain
  4. Acoustical systems with digital waveguide architecture; Acoustical tube; Vibrating string, Border conditions; Nonlinear parameters
  5. Model of string instruments; Piano, Model of wind instruments
  6. Model of electronic instrument; Electric guitar; Modelling with FIR filters; Nonlinear distortion, Additive synthesis; Subtractive synthesis; FM synthesis; Granular synthesis
  7. Acoustic modelling of sound sources (physical modelling synthesis), Hidden Markov Model for speech recognition
  8. Midterm exam
  9. Gaussian Mixture Model for speech recognition, Acoustical and lexical models
  10. Training procedures, Parametric models; Parameter estimation
  11. Speech feature vectors, Cepstral analysis
  12. Hommomorphic analysis, Diphonic
  13. Threephonic, Normalization and modification
  14. Estimation of speech intelligibility and speech quality, Diagnostics and rehabilitation of speech disorders
  15. Final exam

Literature

(.), Frequency analysis,
Mark Kahrs, Karlheinz Brandenburg (2006.), Applications of Digital Signal Processing to Audio and Acoustics, Springer Science & Business Media
Saeed V. Vaseghi (2008.), Advanced Digital Signal Processing and Noise Reduction, John Wiley & Sons
G. Longo, B. Picinbono (2014.), Time and Frequency Representation of Signals and Systems, Springer
Jens Trampe Broch (1981.), Principles of Analog and Digital Frequency Analysis,

For students

General

ID 222457
  Summer semester
5 ECTS
L2 English Level
L3 e-Learning
30 Lectures
0 Seminar
15 Exercises
10 Laboratory exercises
0 Project laboratory

Grading System

Excellent
Very Good
Good
Sufficient

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