Octave Packages and Signals
Load octave extension
%load_ext oct2py.ipython
Check Octave version
%%octave
ver
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GNU Octave Version: 4.0.0
GNU Octave License: GNU General Public License
Operating System: Linux 3.5.0-27-generic #46~precise1-Ubuntu SMP Tue Mar 26 19:33:56 UTC 2013 i686
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no packages installed.
Check current directory for ‘image-2.4.1.tar.gz’ package
%ls
[0m[01;31mcontrol-2.8.4.tar.gz[0m [01;35mml1data.png[0m myfactorial.m
[01;35mCostContourPlot.png[0m ML1.ipynb OctaveFundamentals.ipynb
CostFunctionContour.m [01;35mml1prediction.png[0m OctavePackages.ipynb
CostFunction.m ml1x.dat octave-workspace
[01;35mCostSurfacePlot.png[0m ml1y.dat [01;31moptim-1.4.1.tar.gz[0m
GradientDescentLines.m ML2.ipynb plotData.m
GradientDescent.m ml2x.dat Prediction.m
[01;31mimage-2.4.1.tar.gz[0m ml2y.dat rms.m
[01;34mImages[0m/ ML3.ipynb [01;31msignal-1.3.2.tar.gz[0m
[01;31mio-2.2.9.tar.gz[0m ml3x.dat template.tex
Makefile ml3y.dat Testing4.0.ipynb
ML0.tex mydft.m
Install ‘image’ package
%%octave
pkg install image-2.4.1.tar.gz
For information about changes from previous versions of the image package, run 'news image'.
Check install
%%octave
pkg list
Package Name | Version | Installation directory
--------------+---------+-----------------------
image | 2.4.1 | /home/cobalt/octave/image-2.4.1
Install ‘io’ package
%octave pkg install io-2.2.9.tar.gz
For information about changes from previous versions of the io package, run 'news io'.
0.0
Install ‘optim’ package ( w/ struct dependency)
%octave pkg install struct-1.0.11.tar.gz optim-1.4.1.tar.gz
For information about changes from previous versions of the struct package, run 'news struct'.
['Algorithm',
'AutoScaling',
'complex_step_derivative_equc',
'complex_step_derivative_f',
'complex_step_derivative_inequc',
'complex_step_derivative_objf',
'ComplexEqn',
'covd',
'cpiv',
'cstep',
'debug',
'df_equc_idx',
'df_equc_pstruct',
'df_inequc_idx',
'df_inequc_pstruct',
'df_pstruct',
'dfdp',
'diff_onesided',
'diffp',
'Display',
'equc',
'f_equc_idx',
'f_equc_pstruct',
'f_inequc_idx',
'f_inequc_pstruct',
'f_pstruct',
'FinDiffType',
'fixed',
'fract_prec',
'FunValCheck',
'grad_objf_pstruct',
'GradObj',
'hessian_objf_pstruct',
'inequc',
'inverse_hessian',
'iters_fixed_T',
'Jacobian',
'lbound',
'lm_svd_feasible_alt_s',
'max_fract_change',
'max_rand_step',
'MaxFunEvals',
'MaxIter',
'mu_T',
'objf_grad',
'objf_hessian',
'objf_pstruct',
'objf_type',
'octave_sqp_tolerance',
'OutputFcn',
'parallel_local',
'param_config',
'param_dims',
'param_order',
'plot_cmd',
'recover_state',
'residuals',
'ret_corp',
'ret_covd',
'ret_covp',
'ret_dfdp',
'save_state',
'SearchDirections',
'siman_log',
'stoch_regain_constr',
'T_init',
'T_min',
'TolFun',
'TolX',
'trace_steps',
'TypicalX',
'ubound',
'Updating',
'user_interaction',
'weights']
%octave pkg install control-2.8.4.tar.gz
For information about changes from previous versions of the control package, run 'news control'.
%octave pkg install signal-1.3.2.tar.gz
For information about changes from previous versions of the signal package, run 'news signal'.
Check install
%octave pkg list
Package Name | Version | Installation directory
--------------+---------+-----------------------
control | 2.8.4 | /home/cobalt/octave/control-2.8.4
image | 2.4.1 | /home/cobalt/octave/image-2.4.1
io | 2.2.9 | /home/cobalt/octave/io-2.2.9
optim | 1.4.1 | /home/cobalt/octave/optim-1.4.1
signal | 1.3.2 | /home/cobalt/octave/signal-1.3.2
struct | 1.0.11 | /home/cobalt/octave/struct-1.0.11
Testing plot
%%octave -f svg
t=0:0.1:3;
x=exp(-t).*sin(6*t);
stem(t,x,'fill')
xlabel('time index t')
ylabel('x(t)')
title('Example of discrete-time signal')
grid on
Unit impulse sequence
%%octave -f svg
N=25;
delta = [1;zeros(N-1,1)];
stem(delta,':diamondr','filled')
xlabel('time index n')
ylabel('delta[n]')
title('Unit sample sequence with N = 25')
grid on
Unit step sequence
%%octave -f svg
N = 25;
unit = ones(N,1);
stem(unit,':g','filled')
xlabel('time index n')
ylabel('unit[n]')
title('Unit step sequence with N =25')
grid on
Exponential sequence
%%octave -f svg
N = 25;
x = (1/2).^([0:N-1]');
stem(x,':m','filled')
xlabel('time index n')
ylabel('x[n]')
title('Exponential sequence x[n] = (1/2)^n u[n], with N = 25.')
grid on
Sinusoidal sequence
%%octave -f svg
N = 25;
x = sin(2*pi*400*[0:N-1]'/8000);
stem(x,':g','filled')
xlabel('time index n')
ylabel('x[n]')
title('Sinusoidal sequnce, x[n] = sin(800π n / 8000) u[n], with N = 25.')
grid on
Uniformly distributed random signal
%%octave -f svg
N = 25;
x = rand(N,1);
stem(x,':diamondr','filled')
xlabel('time index n')
ylabel('x[n]')
title('Uniformly distributed random signal')
grid on
%%octave -f svg
N = 25;
x = randn(N,1);
stem(x,':diamondg','filled')
xlabel('time index n')
ylabel('x[n]')
title('Normally distributed random signal')
grid on
Audio Operations in Octave
from IPython.display import Audio
Audio('https://ccrma.stanford.edu/workshops/mir2014/audio/Stairway%20To%20Heaven.mp3')
<audio controls="controls" >
<