Signal Processing with Free Software: Practical Experiments by François Auger

By François Auger

A fantastic source for college students, business engineers, and researchers, Signal Processing with unfastened software program useful Experiments provides useful experiments in sign processing utilizing loose software program. The textual content introduces effortless signs via effortless waveform, sign garage records and basic operations on indications after which offers the 1st instruments to sign research comparable to temporal and frequency features resulting in Time-frequency research. Non-parametric spectral research can be mentioned in addition to sign processing via sampling, resampling, quantification, and analog and electronic filtering.

Table of Contents:

1. iteration of straightforward Signals.
Generation of simple Waveform. – straight forward Operations on
the signs. – structure of sign garage Files.
2. First instruments of sign Analysis.
Measurement of Temporal and Frequency features of a
Signal. Time-Frequency research of a Signal.
3. Non-parametric Spectral Analysis.
4. sign Processing.
Sampling. – Resampling. – Quantification. – “Analog” Filtering.
Digital Filtering

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Example text

3) Is it still possible if we take an acquisition on two channels with the same timebase? How will the transitory phenomena then appear? – We wish to sample a real signal whose energy is located solely in a frequency band of bandwidth B, centered on the frequency fc , so between fc −B/2 and fc +B/2. 1) Given the normal rules of sampling, how must we choose the sample rate Fs so that this signal is correctly sampled? For fc = 10 kHz and B = 80 Hz, why is this solution undesirable? 2) By application of the principle of frequency translation, what sample rate Fs must we choose so that the component of the signal with frequency fc − B/2 appears in the same way as a constant signal (zero frequency)?

The program offers the possibility of resampling signals by changing the sampling rate; this constitutes one of the highlights of SoX. 1 kHz. 1 kHz, 32 kHz, 24 kHz, 22, 050 Hz, 16 kHz, 12 kHz, 11, 025 Hz and 8 kHz. – What operations does S O X need to carry out in order to correctly resample a signal with an original sampling rate of 40 kHz using a new sampling rate of: (1) Fs2 = 10 kHz? (2) Fs2 =16 kHz? mp3 to determine the number of samples it contains and the original sample rate. wav file. – Resample this new signal using smaller and smaller sampling rate values, and produce a table showing the number of samples and the size of the obtained file (in bytes) as a function of the new sampling rate.

2. dat format containing a 20 s recording of a sinusoid with a frequency that varies from fi = 400 Hz to ff = 6, 000 Hz. // // // Programme permettant de generer la version echantillonnee d’une sinusoide de frequence croissante F. 9 cos(ϕ(t)), with Ω(t) ϕ(t) = ωi t + α t2 /2. Calculate Ω(t) = dϕ dt (t) and 2π . How does the frequency vary as a function of time? Launch the program with a sampling period of Ts = 40 μs and listen to the result. mp3 rem F. Auger, IUT Saint-Nazaire , dep. MP, jan. wav Relaunch the program with a sampling period of 125 μs, and listen to the results again.

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