1. Write MATLAB code to obtain the following ideal waveform

2. a. Express the voltage waveform v(t) shown in Figure, as a sum of unit step functions for the time interval 0 < t < 7 s.b. Using the result of part (a), compute the derivative of v(t), and sketch its waveform.

3. Using MATLAB Compute the Fourier Transform of

4. The RC network shown in Figure is a basic analog high-pass filter. Derive expressions and plot for its magnitude and phase using MATLAB.

5. Using MATLAB, fi nd the signal energy or power of the signals

a)

b) A periodic signal of fundamental period 10 described over one period by Then compare the results with analytical calculations.6. Obtain Fourier Series representations and approximations for the given sawtooth signal shown,

7. DTFT of x[n] = ( -0.5)nu[n] is

8. Obtain the output response, suppose that the transfer function and the Laplace transform of the input are given asandusing lsim.