Figure in the below presents the direct form II realization of a difference equation. Assume that the resulting system is linear and time-invariant. x[n] v[n] y[n] z1 1/3 -2 a) Find the direct form I realization. b) Find the difference equation described by the direct form I realization. c) Find the relation between v[n] and y[n]. Find the relation between v[n] and x[n]. Using these relations, verify that the relation between y[n] and x[n] in the direct form II realiza- tion is the same as your answer to part (b).

Using the Nyquist criterion, find the range of K for stability of the system in Figure (a) below. The Nyquist diagram for the system with K = 1 is shown in Figure (b). Imaginary Ass 3 R(s) -1.6 4 K(S-1) (8-2) (a) Nyquist Diagram 05 Real A 0 C(s)

What are the functions of capacitors C1 and C2 shown?

Pllleeaasseeee sir soolvveeee thiss questionnnnnnn thanxxxx

Given F = AB'D' + A'B + A'C + CD. (a) Use a Karnaugh map to find the maxterm expression for F (express your answer in both decimal and algebric notation). (b) Use a Karnaugh map to find the minimum sum-of-products form for F'. (c) Find the minimum product of sums for F.

Signals and systems