Create an input signal composed of three sinusoidal components of frequencies 770 \(\mathrm{Hz}, 852 \mathrm{~Hz}\), and \(941 \mathrm{~Hz}\), in MATLAB with \(\Omega_{\mathrm{s}}=8 \mathrm{kHz}\). Use the three filters designed in Exercise 6.7 to isolate each component in a different signal.

Exercise 6.7

Design three bandpass digital filters, one with a central frequency of \(770 \mathrm{~Hz}\), a second of \(852 \mathrm{~Hz}\), and a third of \(941 \mathrm{~Hz}\). For the first filter, the stopband edges are at frequencies 697 and \(852 \mathrm{~Hz}\). For the second filter, the stopband edges are 770 and \(941 \mathrm{~Hz}\). For the third filter, the edges are at 852 and \(1209 \mathrm{~Hz}\). In all three filters, the minimum stopband attenuation is \(40 \mathrm{~dB}\) and use \(\Omega_{\mathrm{s}}=8 \mathrm{kHz}\).