### AE2M31ZRE / AE2M31RAT seminar LPC spectrum and formant estimation

• LPC spectrum and formant estimation
• For selected voiced short-time frame muz1-AA-frame.CS0 (raw data without header, fs=16000 Hz, for download into MATLAB use loadbin.m) estimate formant frequencies in the following steps:
• compute and observe DFT-based power spectrum
• compute LPC coefficients and LPC power spectrum (parameters of AR model compute on the basis of autocorrelation method using MATLAB function lpc or aryule. You can use also Burg algorthm using MATLAB function arburg.
• Observe the positions of zeros and poles of AR model transfer function.
• For related poles (p_1 and p_2) compute values of formant frequnecies (F1 and F2), see lecture slides slidy AE2M_LECTURE_spectral_char_lpc_HANDOUT.pdf.
• Display the values of formant frequencies vyneste into a figure and proove that they correspond to the peaks of smoothed LPC spectrum
• 1st checked result: Display for voiced frame muz1-AA-frame.CS0:
- waveform of the signal
- DFT and LPC spectrum
• 2nd checked result: Display for voiced frame muz1-AA-frame.CS0 :
- the diagram of zeros and poles for computed AR model,
- formant frequencies F1 and F2 in LPC spectrum.

• Analysis of formants of basic vowels
• Compute the 1st and 2nd formant for all 5 basic vowels (F1 and F2). Work with signals from the database zreratdb which is available for direct usage in CTU FEE computer rooms at the directory "G:\VYUKA\ZRERAT\signaly\zreratdb". For your work outside of CTU FEE, it is possible to download the archive zrerat_blocken_t02_cs0.zip which contains signals resampled to 16 kHz.
• Draw formant triangle, i.e. the graph of the dependency F1 = f ( F2 ). Use different colours for points corresponding to particular vowels.
• 3rd checked result: formant triangle for all available realization of 5 basic vowels pronounced by one speaker.
• On the basis of formant triangle of vowels pronounced by you correct the potentionally bad recordings of 5 basic vowels, i.e. remove possibly long pause at the beginning and the end of a record or rerecord complete bad vowel realizations.
• 4th checked result: formant traingle for all available short-time frames for your realizations of 5 basic vowels.
• Corrected records and whole 4th checked result respectively can be completed at home and deliver till the end of current week (i.e. till Su 23:59). Delivery can be done via Moodle, see DELIVERY seminar formants.