Audio Signal Generation. Young Won Lim 1/29/18
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1 Generation
2 Copyright (c) Young W. Lim. Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled "GNU Free Documentation License". Please send corrections (or suggestions) to youngwlim@hotmail.com. This document was produced by using OpenOffice.
3 Based on Signal Processing with Free Software : Practical Experiments F. Auger 3
4 SOX information o-files/ 4
5 Audacity information
6 Visual Analyser 6
7 S1.wav # Prevent Octave from thinking that this # is a function file: 1; # # n : time index vector # x : time domain signal vector # k : frequency index vector # X : frequency domain signal vector # function TimeFreqPlot(n, x, k, X, mode) NF = length(n); if (strmatch(typeinfo(mode), "range")) trange = mode; frange = mode; else if (strmatch(mode, "half")) trange = 1:NF; frange = 1:NF/2; elseif (strmatch(mode, "full")) trange = 1:NF; frange = 1:NF; X = fftshift(x); else trange = 1:NF; frange = 1:NF; endif endif subplot(3,1,1); p = stem(n(trange), x(trange), 'k'); grid on; xlabel('time, t (s)'); ylabel('x(t)'); subplot(3,1,2); p = stem(k(frange), abs(x(frange)), 'k'); set(p,'linewidth',2,'markersize',4); grid on; xlabel('harmonic number, k'); ylabel(' X(k) '); subplot(3,1,3); p = stem(k(frange), angle(x(frange)), 'k'); set(p,'linewidth',2,'markersize',4); grid on; xlabel('harmonic Number, k'); ylabel('ang{x[k]}'); endfunction 7
8 S1.wav function wavplot(fname) [x, fs, nbits] = wavread(fname); nn = length(x); n = (1 : nn) / fs; k = fs * (0 : nn-1) / nn; X = fft( x ); source "util.m" #TimeFreqPlot(n, x, k, X, "half") TimeFreqPlot(n, x, k, X, (1:256)+1024*1.5) endfunction 8
9 Generating signals using sox sox -n s1.wav synth 3.5 sine 440 sox -n s2.wav synth 90000s sine 660:1000 sox -n s3.wav synth 1:20 triangle 440 sox -n s4.wav synth 1:20 trapezium 440 sox -n s5.wav synth 6 square sox -n s6.wav synth 5 noise time duration frequency -V0, -V1, -V2, -V3, -V4 : verbosity levels -n (null) : absence of an input signal 9
10 Generating signals using sox f s =1/ 48000=2.0833e-05 (sample/sec) T s = msec/sample s1.wav s2.wav s3.wav s4.wav s5.wav s6.wav 3.5 sec T /T s = T f s = = samples s samples 80 sec T /T s = T f s = = samples 80 sec T /T s = T f s = = samples 6 sec T /T s = T f s = = samples 5 sec T /T s = T f s = = samples 10
11 Generating signals using sox f s =1/ 48000=2.0833e-05 (sample/sec) T s = msec/sample s1.wav N = pt FFT f s / N = 48000/ s2.wav N = pt FFT f s / N = 48000/90000 s3.wav N = pt FFT f s / N = 48000/ s4.wav N = pt FFT f s / N = 48000/ s5.wav N = pt FFT f s / N = 48000/ s6.wav N = pt FFT f s / N = 48000/
12 S1.wav 12
13 S1.wav 13
14 S2.wav 14
15 S3.wav 15
16 S4.wav 16
17 S5.wav 17
18 S6.wav 18
19 References [1] F. Auger, Signal Processing with Free Software : Practical Experiments
Audio Signal Generation. Young Won Lim 2/2/18
Generation Copyright (c) 2016-2018 Young W. Lim. Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version
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