idct_rate {tidynorm} | R Documentation |
Inverse Discrete Cosine Transform Rate
Description
The first derivative of the Inverse DCT
Usage
idct_rate(y, n = length(y))
Arguments
y |
DCT coefficients |
n |
The desired length of the idct |
Details
Returns the first derivative (rate of change) of the Inverse DCT (see dct for more details).
\frac{\delta x_j}{\delta j} = -2\frac{\pi k}{J}\sum_{k=1}^{N-1} y_k \sin\left(\frac{\pi k(2j+1)}{2J}\right)
Value
A vector with the first derivative of the inverse DCT
Examples
x <- seq(0, 1, length = 10)
y <- 5 + x + (2 * (x^2)) + (-2 * (x^4))
dct_coefs <- dct(y)
y_rate <- idct_rate(dct_coefs)
plot(y)
plot(y_rate)
[Package tidynorm version 0.3.0 Index]