I’ve been given the formula below to apply to a signal. I’m not sure how to plug this into Matlab, can anyone explain?
y(n) =1/8[2x(n) + x(n − 1) − x(n − 3) − 2x(n − 4)]
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I’ve been given the formula below to apply to a signal. I’m not sure how to plug this into Matlab, can anyone explain?
y(n) =1/8[2x(n) + x(n − 1) − x(n − 3) − 2x(n − 4)]
If
xis your input signal andyis your output, the expression you have can be regarded as an FIR filter. You can write the coefficients ofxin a vector asb = (1/8)*[2, 1, 0, -1, -2];(the 0 in the middle is the coefficient ofx(n-2)). Then you can apply it to your input data vectorxusing thefilterfunction:y = filter(b, 1, x);(the 1 in the middle represents the coefficient ofy(n)).It may also be of interest to see the frequency response of the filter. To do so, you can use the
freqzcommand:freqz(b,1);. See the documentation for more details, including how to calibrate the x-axis of the plot in Hz. Use of this function requires the Signal Processing Toolbox from the Mathworks.