Extra credit 1pt. For x[n] and X[k] in Problem 3, verify that the following Parseval's theorem is satisfied: N-1 N-1 Σ[X[k]]2. Σ|x[n]? = n=0 k=0

1. Perform the required integrations to get the result in the notes ・ [² e² dr - 1/2₁ - [² e² že [001 (tt) Bu(t)dt = 2 fl e² dr e²t dr +2e-4t 2. Given that et dr 2e-4 f etdt Þ(1)x(0) = [ (2e-2t-e-41) -4e-2t+4e- Find the following result, and write the equations for x₁ (t) and x₂(t) seperately x(t) = Þ(t)x(0) + So (tt) Bu(t)dt

Derive the difference equation given the block diagram. Supply the missing term y[n]= a1 x[n-1]+ b1 y[n-1]

2) x[n] can be decomposed as an infinite sum of U[n - k] as follows: r[n] = BiU[n – k]. k=-00 Find the coefficients Bk. Hint: Use the equality: d[n- k] = U[n - k] – U[n -k- 1].

Explain step by step how they rearranged the equation Ne? What is G-H shift?

Please solve

10) What is the RC Time Constant for the following circuit?

We will use a magnitude comparator and a Quad 2-to-1 MUX. How? I need to drawing circuit and turn to the verilog code.

please solve step by step subject signal and systems

Thanks and please do the these. Thanks