This window function returns a vector of weights with means of a Nuttall-window.
win.nutt(n, a = c(0.355768, 0.487396, 0.144232, 0.012604, 0))data vector to be windowed
coefficients default a = c(0.355768, 0.487396, 0.144232, 0.012604,0)
This window function provides a continuous first derivative everywhere, like the Hann window. Adopted from the idea of Hann this window consists of up to 5 trigonometric polynominial terms, i.e.
$$w_{n} = a_1 - a_2 \cos(2\pi n/M) + a_3 \cos(4\pi n/M) - a_4 \cos(6\pi n/M) + a_5 \cos(8\pi n/M) $$
Different sets of coefficients:
| Nuttall(Default) | c(0.355768, 0.487396, 0.144232, 0.012604,0) |
| Blackman-Nuttall | c(0.3635819, 0.4891775, 0.1365995, 0.0106411,0) |
| Blackman-Harris | c(0.35875, 0.48829, 0.14128, 0.01168,0) |
| Flat-Top | c(0.211557895, 0.41663158, 0.277263158, 0.083578947, 0.006947368) |