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Digital signal processing and mathematics 4 (Fall 2012) |
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Course code : | EDSM4-U01 | ||
ECTS Credits : | 10 | Status : | Compulsory |
Placement : | 4. semester | Hours per week : | 8 |
Length : | 1 semester | Teaching Language : | English if English students are present |
Principal Content : | The main content is divided into four parts: A, B, C and D: A. Discrete time Fourier analysis: Discrete time Fourier transform (DTFT) and inverse (IDTFT). Discrete Fourier transform (DFT/FFT) and inverse (IDFT/IFFT). Practical spectral analysis: Spectrum analysers, frequency resolution, amplitude precision, window functions, leakage, zero padding. B. Probability and stochastic signals: Probability: definitions, calculus and Probability Functions. Stochastic Signals. Elementary Information Theory and Source Coding. C. Speech Coding in telecommunication: Quantization noise, linear Pulse Code Modulation (PCM) and companding. Differential PCM (DPCM) and linear prediction, adaptive DPCM (ADPCM), Pitch-excited linear predictictive coding (LPC). Possibly modern speech coding principles and standards (GSM , CELP etc). D. Automatic Speech Recognition: Cepstrum Analysis, Feature Extraction, Time Warping, Model Word production, Distance computation and Word Recognition. |
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Teaching method : | In the beginning of the semester the teaching will be a mixture of classroom lecturing and problem work solving, partly based on MATLAB as the simulation tool. This form makes up 50% to 75% of the scheduled time in the semester, distributed as 100% in the beginning of the semester and 0% towards the end of the semester. In relation to the contents items A and B two large course assignments have to be carried out and documented in writing. In relation to the contents item C and D a large course assignment involving speech coding practise and design of a speech recognizer has to be carried out and documented in a report. | ||
Required prequisites : | Documented knowledge similar to DSM2Documented knowledge similar to DSM2 | ||
Responsible teacher : | John Kryger Sørensen
, jksor@dtu.dk |