In the given block diagram of the PLL circuit, the input reference frequency $f_{in} = 40 \ MHZ$. What is the value of output frequency $f_{out}$ when the PLL is operating in locked state?
In a Phase-Locked Loop (PLL) circuit, the output frequency \(f_{\text{out}}\) is determined by the input reference frequency \(f_{\text{in}}\) and the division factor of the counter in the feedback path.
Given:
- Input reference frequency, \(f_{\text{in}} = 40 \ \text{MHz}\)
- The feedback path includes a counter with a division factor of 4.
When the PLL is locked, the output frequency \(f_{\text{out}}\) can be derived using the formula:
\(f_{\text{out}} = N \times f_{\text{in}}\)
Where \(N\) is the division factor. Here, \(N = 4\), as given by the counter.
Therefore, the output frequency is calculated as:
\(\begin{align*} f_{\text{out}} &= 4 \times 40 \ \text{MHz} \\ &= 160 \ \text{MHz} \end{align*}\)
Thus, the value of the output frequency when the PLL is in a locked state is \(160 \ \text{MHz}\).
The correct answer is:
$160 \ MHZ$
Important Questions from Closed Loop Control Systems
In a closed loop automatic control system, the sequence of operations is as follows :
(i) Controlling unit
(ii) Correcting unit
(iii) Impact on the process
(iv) Measurement of process parametersThe block diagram of a control system in given below
A. The root of characteristics equation is 6
B. The root of characteristics equation is -6
C. The root of characteristics equation is 5
D. The root of characteristics equation is -10
E. The root of characteristics equation is -5
Choose the most appropriate answer from the options given below :
The location of closed loop poles of a LTI system is given as shown in the figure :
The system will be
A negative feedback control system whose open loop transfer function G(S) has feedback transfer function H(S) can be replaced by a single block with transfer function :
The effect of Tachometer feedback in a control system is to reduce -
