include/it/source_func.h File Reference
#include <it/vec.h>#include <it/mat.h>Go to the source code of this file.
Functions | |
| double | entropy (vec pdf) |
| double | entropy_markov (mat pt) |
| double | entropy_bin (double p) |
| ivec | histogram (int omega, ivec S) |
| vec | histogram_normalized (int omega, ivec S) |
| imat | histogram_cond (int omega, ivec S) |
| double | source_expectation (vec pdf, vec symbols) |
| double | source_variance (vec pdf, vec symbols) |
| int | is_valid_pdf (vec pdf, double tol) |
| int | is_valid_markov_matrix (mat pt, double tol) |
| vec | markov_marg_pdf (mat pt) |
Function Documentation
| double entropy | ( | vec | ) |
Return the entropy of a memoryless discrete source
Definition at line 33 of file source_func.c.
References vec_length().
Referenced by entropy_markov(), main(), and test_quantizer().
| double entropy_bin | ( | double | p | ) |
Return the entropy of a binary source source
Definition at line 47 of file source_func.c.
References log2.
| double entropy_markov | ( | mat | pt | ) |
Entropy rate of a Markov chain defined by transition matrix pt
Definition at line 80 of file source_func.c.
References entropy(), is_valid_markov_matrix(), it_assert, IT_EPSILON, markov_marg_pdf(), mat_width(), and vec_delete().
Return the histogram of the realization S. The source is assumed to take its values between 0 and omega-1
Definition at line 133 of file source_func.c.
References ivec_length(), and ivec_new_zeros().
Referenced by main().
Return the conditionnal (i.e., bi-dimensional) histogram of a source realization
Definition at line 166 of file source_func.c.
References imat_new_zeros(), and ivec_length().
Same as histogram return a normalized histogram, i.e. a pdf
Definition at line 151 of file source_func.c.
References ivec_length(), and vec_new_zeros().
Referenced by main(), and test_quantizer().
| int is_valid_markov_matrix | ( | mat | pt, | |
| double | tol | |||
| ) |
Check if pt is a valid matrix of transition probabilities (Markov chain)
Definition at line 189 of file source_func.c.
References mat_col_sum(), and mat_width().
Referenced by entropy_markov().
| int is_valid_pdf | ( | vec | pdf, | |
| double | tol | |||
| ) |
Verify if the input vector is a valid probability density function
Definition at line 179 of file source_func.c.
References vec_sum().
Referenced by source_memoryless(), source_variance(), and vec_distance_kullback_leibler().
Return the stationary probability of a Markov chain defined by transition matrix pt
Definition at line 103 of file source_func.c.
References it_error(), mat_clone(), mat_delete(), mat_height(), mat_new_mul(), mat_rows_sum(), mat_width(), vec_normalize(), and vec_null.
Referenced by entropy_markov().
Return the expectation of a source defined by the pdf and the symbols values
Definition at line 56 of file source_func.c.
References vec_inner_product(), and vec_length().
Referenced by source_variance().
Return the variance of a source defined by its pdf and its symbols
Definition at line 65 of file source_func.c.
References is_valid_pdf(), source_expectation(), and vec_length().
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