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# Copyright (c) 2015 Santiago Barreda
# All rights reserved.
makeFIR = function (frequency, dB, order = 200, signal = NULL, window = 'hann', verify = FALSE, interpolation = 'linear'){
frequency = sort(frequency)
if (order %% 2) order = order + 1
if ((frequency[1]) != 0) stop ('First frequency point must be 0.')
if (length(dB) != length (frequency)) stop ('Frequenecy and dB specifications of unequal length.')
if (order < 10) stop ('Filter order must be at least 10 taps.')
n = length (frequency)
if (n < 2) stop ('At least two points are required to specify the filter.')
dB = dB - max (dB)
ylim = range (dB); ylim[1] = ylim[1]-20; ylim[2] = ylim[2]+5;
spots = seq (0, tail(frequency,1), length.out = order/2 + 1)
for (i in 1:length (frequency)) frequency[i] = spots[order (abs(spots - frequency[i]))[1]]
incr = spots[2] - spots[1]
dBs = interpolate (dB, frequency, steps = 20, increment = incr, show = F, type = interpolation)[,2]
l = length (dBs)
dBs = c(dBs, rev(dBs[-c(1,l)]))
dBs = 10^(dBs/20)
response = Re(fft (dBs, inverse = TRUE))
response = c(response[l:1], rev(response[l:1][-l]))
response = (response / max(response)) * windowfunc(response, type = window)
if (!is.null(signal)) output = FIRfilter (signal, impulse = response)
oldpar = par()
if (verify){
oldpar = par()
if(is.null(signal)){
par (mfrow = c(2,1), mar = c(4.5,4.5,3,1))
plot (response, main = 'Filter Impulse Response', xlab = 'Tap',
ylab = 'Amplitude', xaxs='i', type = 'b')
spectralslice (response, fs = max(frequency)*2, padding = 15000, main = 'Filter Frequency Response',
ylim = ylim, window = window)
points (frequency, dB, cex = 1.3, col = 4, pch = 16)
}
if (verify & !is.null(signal)){
par (mfrow = c(2,2), mar = c(4.5,4.5,3,1))
plot (response, main = 'Filter Impulse Response', xlab = 'Tap',
ylab = 'Amplitude', xaxs='i', type = 'b')
spectralslice (response, fs = max(frequency)*2, padding = 15000, main = 'Filter Frequency Response',
ylim = ylim, window = window)
points (frequency, dB, cex = 1.3, col = 4, pch = 16)
spectralslice (signal, fs = max(frequency)*2, padding = 5000, main = 'Pre-Filtering',
ylim = ylim, window = window)
spectralslice (output, fs = max(frequency)*2, padding = 5000, main = 'Post-Filtering',
ylim = ylim, window = window)
spectralslice (response, fs = max(frequency)*2, padding = 15000, main = 'Filter Frequency Response',
ylim = ylim, window = window, add = TRUE, lty = 'dotted', col = 4)
par(mfrow=c(1,1),mar=c(5.1,4.1,4.1,2.1));
}
suppressWarnings (par (oldpar))
}
if (is.null(signal)) return (response)
if (!is.null(signal)) return (signal)
}
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