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Topic: MDCT Window (Read 3237 times)
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## MDCT Window

##### 2015-01-01 00:27:01
Opus Celt uses Vorbis window (Modified_discrete_cosine_transform)
or this formula is used only from 60 to 180 and from 300 to 420 sample (whole window has 480 samples) as is in Fig. 3 in aes135_opus_celt.pdf ? I have written program which uses this window and results are not so good, the best results give me Dolph-Chebyshev Window (but if this window has features for overlapping?)

## MDCT Window

##### Reply #1 – 2015-01-01 12:05:07
The window formula only generates the smooth transition from 0 to 1, samples 60 to 180 for example in fig 3.

What do you mean with "not so good"? What are the criteria?
"I hear it when I see it."

## MDCT Window

##### Reply #2 – 2015-01-01 12:22:41
I have written program which uses this window and results are not so good, the best results give me Dolph-Chebyshev Window (but if this window has features for overlapping?)

Do you know the Princen-Bradley condition for MDCT windows? www.hydrogenaud.io/forums/index.php?showtopic=86431

Chris

## MDCT Window

##### Reply #3 – 2015-01-01 14:44:36
Code: [Select]
`n = 0:119;L = 120;w = sin(pi/2*sin(pi*(n+1/2) / (2*L)).^2);plot(n, w, n, w(end:-1:1), n, w.^2, n, w.^2+w(end:-1:1).^2)`

with cheb:
Code: [Select]
`w = chebwin(L*2); w = w(1:L);`

"I hear it when I see it."

## MDCT Window

##### Reply #4 – 2015-01-04 14:01:13
The window formula only generates the smooth transition from 0 to 1, samples 60 to 180 for example in fig 3.

What do you mean with "not so good"? What are the criteria?

clt_mdct_forward uses (unlike aes135_opus_celt.pdf ) near square window: from 0 to 1/4-delta windows function is equal zero, from 1/4+delta to 3/4-delta is equal 1, from 3/4+delta to 1 is equal again zero, where delta is very small = 1/32.
This follows from: all window has 1920 points, is 1080 non zero points, and 120 is length Vorbis function.
That window generates big side lobes.
KBD is many better than Vorbis i see. Dolph-Chebychev not satisfy Princen-Bradley condition

2. h(k) = h(2N-1-k)
This condition disable non asymmetric windows?

## MDCT Window

##### Reply #5 – 2015-01-04 14:25:58
The condition is for a symmetric window to overlap resulting in a power sum of 1 at each point.

Fig. 3 shows the lengths of the parts of the window pretty clearly.
0-60 = 0
60-180 = Vorbis power-complementary window
180-300 = 1
...

Alse see https://www.xiph.org/vorbis/doc/Vorbis_I_sp...l#x1-230001.3.2
"I hear it when I see it."

## MDCT Window

##### Reply #6 – 2015-01-04 14:35:51
Also, the window code used in libcelt is:
Code: [Select]
` for (i=0;i<mode->overlap;i++)    window[i] = Q15ONE*sin(.5*M_PI* sin(.5*M_PI*(i+.5)/mode->overlap) * sin(.5*M_PI*(i+.5)/mode->overlap));`
"I hear it when I see it."