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Results tagged with dct
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user 13659
The Discrete Cosine Transform expresses a sequence of finitely many data points in terms of a sum of cosine functions oscillating at different frequencies.
0
votes
0
answers
53
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Inverse DCT via DFT formula deduction
Context
I am reading this book Discrete Cosine Transform [...]. K.R. Rao and P.YIP. 1990.
Given That
From Equation (2.4.11.a)
$$
X^{C(2)}(m) = \left ( \frac{2}{N} \right )^{1/2} k_m \sum^{N-1}_{n= …
- 363
2
votes
0
answers
94
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DCT and Convolution, [1994, Martucci]
Here are some important parts that I am try to follow:
Eq 28 and Eq 29
I am using DCT-II as $T_a$ and $T_b$ and iDCT-I as $T_c$. … In short: How to properly interpret and demonstrate this correspondence between (28) and (29) this combination of $T_a = T_b = \text{DCT-II}$ and $T_c = \text{DCT-I}$? …
- 363
6
votes
1
answer
2k
views
Convolution Theorem using DCT
Could someone give a hand with DCT?
I am trying to reproduce the convolution theorem for DCT-I and DCT-II. But my results never match the same as the result I get with DFT and DHT. … But it puts the conv. theorem of DCT-II in other terms.
I have also read other works, such as
[1994] Martucci. Symmetric Convolution and the Discrete Sine and Cosine Transforms
[2011] Roma. …
- 363
3
votes
2
answers
449
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When to Apply Circular Convolution Formulas?
Context
I am studying the family of Discrete Trignometric Transforms (DTT): Discrete Cosine Transforms (DCT) and Discrete Sine Transforms (DST). …
- 363