One dimensional Dicrete Cosine Transform. More...
Functions | |
| ITPP_EXPORT bool | itpp::have_cosine_transforms () |
| Run-time test if library is built with cosine transforms enabled. | |
| ITPP_EXPORT void | itpp::dct (const vec &in, vec &out) |
| Discrete Cosine Transform (DCT) | |
| ITPP_EXPORT vec | itpp::dct (const vec &in) |
| Discrete Cosine Transform (DCT) | |
| ITPP_EXPORT vec | itpp::dct (const vec &in, const int N) |
| Discrete Cosine Transform (DCT) with zero-padding up to size N. | |
| ITPP_EXPORT void | itpp::idct (const vec &in, vec &out) |
| Inverse Discrete Cosine Transform (IDCT) | |
| ITPP_EXPORT vec | itpp::idct (const vec &in) |
| Inverse Discrete Cosine Transform (IDCT) | |
| ITPP_EXPORT vec | itpp::idct (const vec &in, const int N) |
| Inverse Discrete Cosine Transform (IDCT) with zero-padding up to size N. | |
One dimensional Dicrete Cosine Transform.
The functions
and
are the dicrete cosine and inverse discrete cosine transforms of size N defined as:
![\[
X(k) = w(k) \sum_{j=0}^{N-1} x(j) \cos \left(\frac{(2j+1)k \pi}{2N} \right)
\]](form_275.png)
![\[
x(j) = \sum_{k=0}^{N-1} w(k) X(k) \cos \left(\frac{(2j+1)k \pi}{2N} \right)
\]](form_276.png)
where 



The implementation is built upon one of the following libraries:
| ITPP_EXPORT vec itpp::dct | ( | const vec & | in, |
| const int | N ) |
Discrete Cosine Transform (DCT) with zero-padding up to size N.
First N points of input vector are used to perform the transform if N < length(in). Padding with 0's is performed if N > length(in).
| ITPP_EXPORT vec itpp::idct | ( | const vec & | in, |
| const int | N ) |
Inverse Discrete Cosine Transform (IDCT) with zero-padding up to size N.
First N points of input vector are used to perform the transform if N < length(in). Padding with 0's is performed if N > length(in).
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