Matlab

1. Generate a sinusodal sequence with sampling frequency Fs=b 1000 N c, bc is floor function. N is last two digits of your roll number. For example if your roll number is : 2016yy or 2017yy, then N = yy
2. Plot sin(x) vs cos(x) graph with axes font ‘Times New Roman’, fontsize ‘20 ’and properly labelled axes. Mention all the specifications in MATLAB code. ‘x ’to be taken in range [−π π].
3. For a series RLC circuit, plot impedance ‘Z ’vs frequency plot (f), reactances ‘X0 c and ‘X0 l vs frequency plot (f ). Values of R=yy Ohms, as discussed in Question 1, L = 0.01 H, and C = 10−6 F. Range of frequency to be used [0 1000] Hz with step size of 10.
4. Plot magnitude and phase responses of Butterworth low pass filter. Use the equations for magnitude and phase of transfer function of filter from slides.
5. Generate (a) shifted unit impulse δ(n−5), (b) unit step with length equal to 10, (c) decaying exponential with decaying factor ‘yy ’as discussed in Q. 1. Length of x = 100 starting from 0.