Problem 1: Assume you have two signals: f = cos(27rt) and f2 (0 = sin(2irt). Use Matlab to:
- Plot f i (t) from —2T to 2T. 2. Plot P (1) from —2T to 2T. 3. If h (t) = fi (t) + j (t), determine the power of h (t) analytically and using Matlab. Do your answers match? 4. Consider Euler’s equation; how would you use it to rewrite the function f3 (t)? Would that make the analytical calculation of the power easier? 5. Prove that PL = P11 + PL.
Clarifications:
• You will assign a value for in your code, and use it to calculate T or vice-versa. (In other words, define one, and use it to calculate the other. Do not hard-code both of them.) • How does the power change if the functions have a non-unit magnitude? • These functions are called “quadrature functions”.
Problem 2:
Use Matlab to define and plot a series of dirac deltas with a period T = 1 s; plot from —10s to 10s.
Sample Solution
