Least-squares linear-phase FIR filter design
Produce a linear phase filter such that the integral of the weighted mean squared error in the specified bands is minimized.
firls(n, f, a, w = rep(1L, length(a)/2))
n |
filter order (1 less than the length of the filter). Must be even. If odd, it is incremented by one. |
f |
vector of frequency points in the range from 0 to 1, where 1 corresponds to the Nyquist frequency. Each band is specified by two frequencies, so the vector must have an even length. . |
a |
vector of the same length as |
w |
weighting function that contains one value for each band that
weights the mean squared error in that band. |
The least squares optimization algorithm for computing FIR filter coefficients is derived in detail in [1].
The FIR filter coefficients, a vector of length n + 1, of
class Ma.
Quentin Spencer, qspencer@ieee.org.
Conversion to R by Geert van Boxtel, G.J.M.vanBoxtel@gmail.com.
[1] I. Selesnick, "Linear-Phase FIR Filter Design by Least Squares", https://cnx.org/contents/6x7LNQOp@7/Linear-Phase-Fir-Filter-Design-By-Least-Squares
freqz(firls(255, c(0, 0.25, 0.3, 1), c(1, 1, 0, 0)))
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