A mixer circuit using an ideal operational amplifier (op-amp), A is shown in Figure 1
below. Signal y(t) represents the output signal whilst signals x_(1)(t) and x_(2)(t) represent the
input signals. All the resistors are ideal with the same resistance which is 10kOmega .
(a) Determine the expression of the output signal, y|t| in terms of the input signals x_(1)|t|
and x_(2)(t).
[5 Marks]
(b) Determine whether the output signal, y|t| belongs to the system classifications
below against the input signals x_(1)|t| and x_(2)|t| :
i. Time-varying or Time-invariant
ii. Linear or Nonlinear
iii. Instantaneous or Dynamic
iv. Causal or Non-causal
v. Open loop of Closed loop
Provide the necessary mathematical calculations or statements to support your
arguments.
below. Signal y (t) represents the output signal whilst signals x,(t) andx,(t) represent the input signals. All the resistors are ideal with the same resistance which is 10k.
y(t)
A
x(t)
Ri WW
W R
x(t)
R WW
Figure 1
(a) Determine the expression of the output signal, y (t) in terms of the input signals x,(t and x,(t). [5Marks] (b) Determine whether the output signal, yt) belongs to the system classifications below against the input signals xt andx,t:
i.
Time-varying or Time-invariant
[5 Marks]
ii.
Linear or Nonlinear
[5 Marks]
iii.
Instantaneous or Dynamic
[5 Marks]
iv.
Causal or Non-causal
[5 Marks]
"A
Open loop of Closed loop
[5Marks] Provide the necessary mathematical calculations or statements to support your arguments.