(Answered) Q1 use matlab to plot each sum of complex sinusoids over

Engineering

Q1. Use MATLAB to plot each sum of complex sinusoids over the time period indicated.

2216_Sum of complex sinusoids.png

Q2. Use CTFS tables and properties to find the CTFS coefficients for the periodic signal given below (use the representation period T_F indicated).

Q3. A signal x(t) is described over one fundamental period by

2218_Sum of complex sinusoids2.png

Find the CTFS coefficients of x(t) (using direct calculations), and those of its integral (using CTFS properties). Use the found CTFS coefficients to generate and plot the integral signal of x(t).

Q4. Find and plot (as a function of F) the magnitude of the response, y[n], to the periodic excitation x[n] = cos(2πFn) for the system described by

y[n]= x[n] + 0.9 y[n-1].

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