equalize the sound. You have an equalizer system composed of several fixed frequency bands: (a) (1) 0 a 299.99 Hz; (II) 300 a 899.99 Hz; (III) 900 a 2,799.99 Hz; (IV) 2,800 a 4,999.99 Hz, (V) 5,000 a 7,999.99 Hz y (VI) 8,000 a 9,999.99 Hz (b) Each band has an amplitude gain range that goes from 0 (elimination of the signal) to 1000 (maximum amplification), passing through the attenuation of a signal (0.001 to 0.9999 of amplification); Above 10,000 Hz, the gain of the amplifier is 0. (c) The equalizer system can be used as a low pass filter, a band pass filter, a high pass filter or a filter rejected band. 2 Signals Equalization and Filtering Exercise The input signal fi(t) you want to equalize is given by: fi(t)=2sen (200t) + 0.5cos(1500t) + 4sen (2500t) + 2sen(7600t) + 3sen(15000t) The graphic diagram of the system is given by: f,(t) Ecualizado Where f(t) is the output signal the person will hear after the equalization process. Question 1: f(t) Provide (a) the spectral plot of the function f1(t); (b) Provide the graph of the transfer function H(w) that provides output only signals that have complex values in the spectral domain, respecting their amplitude; (c) the temporal mathematical equation as well as the frequency equation and the spectral graph of the signal f(t). Question 2: Provide (a) the spectral plot of the function f1(t); (b) Provide the graph of the transfer function H(w) that gives the output a signal f(t) that eliminates the first three and leaves the last two with an amplitude of 10; (c) the temporal mathematical equation as well as the frequency equation and the spectral graph of the signal f(t). Provide the mathematical processing of the input signals in the equalizer, by working those signals in the time and frequency domain; finally, provide the mathematical expression of the output signal f(t) for each case.