idct_accel {tidynorm} | R Documentation |
Inverse Discrete Cosine Transform Acceleration
Description
The second derivative of the Inverse DCT
Usage
idct_accel(y, n = length(y))
Arguments
y |
DCT coefficients |
n |
The desired length of the idct |
Details
Returns the second derivative (acceleration) of the Inverse DCT (see dct for more details).
\frac{\delta^2 x_j}{\delta j^2} = -2\left(\frac{\pi k}{J}\right)^2\sum_{k=1}^{N-1} y_k \cos\left(\frac{\pi k(2j+1)}{2J}\right)
Value
A vector with the second 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_accel <- idct_accel(dct_coefs)
plot(y)
plot(y_accel)
[Package tidynorm version 0.3.0 Index]