<p fontName="Arial">filter</p>

b5cb01c6-9e3a-4516-a917-9fbca6e49790 14 4 5 false false 0 decimal

&[DATE] &[TIME] - &[FILENAME]

x rnd 109^random 109^/ 11 line :

a b n xd d b a - n 1 - / : v n 1 matrix : k 1 n range : v k el k 1 - (d * : 14 mat a v + eval 21 line :

filter (b,a,x) filters the input data x using a rational transfer function defined by the 
numerator and denominator coefficients b and a. b a X filter b a X a length b length 12 mat max eval 1 matrix filter 11 line :

filter (b,a,x,zi) uses initial conditions zi for the filter delays. 
The length of zi must equal max(length(a),length(b))-1.
Final values modify given z. b a X Z filter na a length : nb b length : n na nb 12 mat max eval : 13 mat m X length : Y m 1 matrix : Z Z 0 stack : 13 mat B b na 1 matrix stack a 1 el / eval : A a nb 1 matrix stack a 1 el / eval : 12 mat k 1 m range Y k el B 1 el X k el * Z 1 el + eval : j 2 n range Z j 1 - el B j el X k el * Z j el + A j el Y k el * - eval : for 21 line for Z Z 1 n 1 - (range el : Y eval 61 line :

conv(u,v) returns the convolution of vectors u and v. 
If u and v are vectors of polynomial coefficients, convolving them 
is equivalent to multiplying the two polynomials. a b conv na a length : nb b length : 12 mat na nb > nb 1 > A a : A na nb + 1 - el 0 : 12 mat A a : if b 111 mat A filter 21 line na 1 > B b : B na nb + 1 - el 0 : 12 mat B b : if a 111 mat B filter 21 line if 21 line :

simplest lowpass filter

https://uk.mathworks.com/help/matlab/ref/filter.html

N 10 :

T 1 N range :

X T :

b 1121 mat :

a 111 mat :

Y b a X filter :

T X augment T Y augment 2 1 sys

Y 135791113151719101 mat

This example filters a matrix of data with the following rational transfer function.

X Clear 1

N 15 :

T 1 N range :

X T el 1 rnd :

b 111 mat :

a 1 0.2 - 21 mat :

Y b a X filter :

T X augment T Y augment 2 1 sys

N 100 :

T π - π N xd :

X T sin 0.25 1 rnd * + vectorize :

ws 5 :

b 1 ws / 1 ws 1 matrix + (* :

a 111 mat :

Y b a X filter :

T X augment T Y augment 2 1 sys

Alvaro