#'Plot the Periodogram
#'
#' This function plots the periodogram of a signal (e.g. a time
#' series or a series of observations) at the Fourier frequencys between 0 and \code{pi}.
#'
#' @param pd A numeric vector that contains the values of the periodogram of a
#' signal at the Fourier frequencies.
#' @return A graph of the periodogram at the Fourier frequencys.
#' @examples
#' n<- 1:1000
#' x <- rnorm(1:1000) + 2*sin(2*pi*n)
#' peri_x <- periodogram(x)
#' plot_periodogram(peri_x)
#' @export
plot_periodogram <- function(pd){
# 1. Check Inputs
if( !is.numeric(pd)) stop("pd must be numeric vector.")
# 2. Prepare the data
n <- length(pd)
if(n%%2==0) peri <- pd[((n/2)+1):n]
if(n%%2==1) peri <- pd[(floor(n/2)+1):n]
nr <- length(peri)
f <- 2*pi*(1:nr)/n
# 3. Plot Periodogram
ggplot2::ggplot() +
ggplot2::geom_point(mapping = ggplot2::aes(f,peri)) +
ggplot2::geom_line(mapping = ggplot2::aes(f,peri)) +
ggplot2::labs(title="Periodogramm der monatlichen Inflationsraten",
x="Frequenz", y = "I(w)") +
ggplot2::theme_classic()
}
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