Programmer Guide/Command Reference/EVAL/dct: Difference between revisions

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:;<var>dir</var>:the direction of the dct (default=0)
:;<var>dir</var>:the direction of the dct (default=0)
:::{|class="keinrahmen"
:::{|class="keinrahmen"
|''dir''='''0''' ||-> forward dct
|''dir''='''0''' ||&rarr; forward dct
|-
|-
|otherwise ||-> inverse (or backward) dct
|otherwise ||&rarr; inverse (or backward) dct
|}
|}
;Result: A vector ''y'' containing the result of the transformation. In the following table NX is equal to <code>nrow(''x'')</code>.
;Result: A vector ''y'' containing the result of the transformation. In the following table NX is equal to <code>nrow(''x'')</code>.
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|'''0'''
|'''0'''
|data samples
|data samples
|<code>0<''n''<=NX</code>
|<code>0<''n''&le;NX</code>
|NX
|NX
|dct coefficients
|dct coefficients
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|'''1'''
|'''1'''
|dct coefficients
|dct coefficients
|<code>0<''n''<=NX</code>
|<code>0<''n''&le;NX</code>
|NX
|NX
|data samples
|data samples

Latest revision as of 20:24, 21 April 2011

Compute the forward or inverce discrete cosine transform (dct) of the input vector x. This function was implemented for the computation of the MFCC (mel-cepstrum coefficients).

Usage
dct(x {, n {, dir)
x
the data or coefficient vector
n
the number of dct coefficients to compute or to use (default=nrow(x)); the meaning of this argument depends on the value of dir
dir
the direction of the dct (default=0)
dir=0 → forward dct
otherwise → inverse (or backward) dct
Result
A vector y containing the result of the transformation. In the following table NX is equal to nrow(x).
dir x n dct-
length
y nrow(y) description
0 data samples 0<n≤NX NX dct coefficients n forward dct; if n<NX only the first n coefficients are computed
1 dct coefficients 0<n≤NX NX data samples NX inverse dct; if n<NX only the first n coefficients of x are used, all other are set to 0 (smoothing or liftering)
1 dct coefficients n>NX n data samples n inverse dct; the vector x is expanded with zeros to length n and the inverse transform is applied to the expanded vector (smoothing or liftering)
See also
fft, ifft, dft, cepstrum, lpc

<function list>

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