What is the duty cycle of a radar with pulse width 0.3 µs and pulse repetation rate of 1 ms ?
Radar Duty Cycle Calculation
This solution explains how to calculate the duty cycle of a radar system using its pulse width and pulse repetition rate (which we interpret as Pulse Repetition Interval, PRI, based on the units given).
Understanding Radar Duty Cycle
The duty cycle ($D$) in radar technology is defined as the ratio of the time the radar transmitter is active (transmitting a pulse) to the total time period allocated for one pulse cycle. It essentially tells us what fraction of time the radar is transmitting.
- Mathematically, it's represented as: $ D = \frac{\text{Pulse Width (} T_p \text{)}}{\text{Pulse Repetition Interval (PRI)}} $
- The Pulse Repetition Rate (PRR) is the number of pulses per second, while the Pulse Repetition Interval (PRI) is the time between the start of consecutive pulses. They are reciprocals: $ \text{PRR} = \frac{1}{\text{PRI}} $.
- Since the question provides the value in milliseconds (ms), it's commonly interpreted as the Pulse Repetition Interval (PRI).
Given Information
The problem provides the following details:
- Pulse Width ($T_p$): $ 0.3 \text{ µs} $
- Pulse Repetition Interval (PRI): $ 1 \text{ ms} $
Step-by-Step Calculation
To find the duty cycle, follow these steps:
-
Standardize Units: Convert both the pulse width and the PRI to the same base unit, typically seconds (s).
- Pulse Width ($T_p$): $ 0.3 \text{ µs} = 0.3 \times 10^{-6} \text{ s} $
- PRI: $ 1 \text{ ms} = 1 \times 10^{-3} \text{ s} $
- Apply the Duty Cycle Formula: Substitute the standardized values into the duty cycle equation. $ D = \frac{T_p}{\text{PRI}} $ $ D = \frac{0.3 \times 10^{-6} \text{ s}}{1 \times 10^{-3} \text{ s}} $
- Compute the Result: Perform the division. $ D = 0.3 \times 10^{-6 - (-3)} $ $ D = 0.3 \times 10^{-3} $ $ D = 0.0003 $
The duty cycle is a dimensionless quantity. Therefore, the calculated duty cycle for this radar is 0.0003.
Final Answer Summary
By converting the given pulse width and pulse repetition interval to seconds and applying the duty cycle formula, we find the duty cycle to be 0.0003.
Important Questions from Modulation
- An advantage of modulation is the use of _____.
In an AM with m=1, the power in one sideband is:
Match the following lists :
List – I List – II a. PCM i. Slope overload distortion b. DM ii. Constant carrier frequency c. AM iii. Encoding d. TDM iv. Commutator The correct match is :
Match the following :
List – I List – II a. DSB-SC modulation i. envelope detection b. SSB-modulation ii. Foster Seeley c. AM-demodulation iii. Weaver's method d. Phase-shift detection iv. Balanced modulator Codes :
Match the following :
List – I List – II a. Power efficient transmission i. SSB-SC b. Most bandwidth efficient transmission of voice signal ii. VSB c. Simplest receiver iii. FM d. Bandwidth efficient transmission of signals with significant d.c. component iv. AM Codes :
