Coupling Factor of AM Receiver Solution

STEP 0: Pre-Calculation Summary
Formula Used
Coupling Factor = (Image Frequency/Radio Frequency)-(Radio Frequency/Image Frequency)
cf = (fimg/frf)-(frf/fimg)
This formula uses 3 Variables
Variables Used
Coupling Factor - Coupling Factor is a measure of the amount of energy that is transferred from one circuit to another.
Image Frequency - (Measured in Hertz) - Image Frequency is defined as the sum of received signal and twice the intermediate frequency.
Radio Frequency - (Measured in Hertz) - Radio Frequency is the oscillation rate of an alternating electric current or voltage or of a magnetic, electric or electromagnetic field or mechanical system.
STEP 1: Convert Input(s) to Base Unit
Image Frequency: 195 Hertz --> 195 Hertz No Conversion Required
Radio Frequency: 55 Hertz --> 55 Hertz No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
cf = (fimg/frf)-(frf/fimg) --> (195/55)-(55/195)
Evaluating ... ...
cf = 3.26340326340326
STEP 3: Convert Result to Output's Unit
3.26340326340326 --> No Conversion Required
FINAL ANSWER
3.26340326340326 3.263403 <-- Coupling Factor
(Calculation completed in 00.004 seconds)

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18 Amplitude Modulation Characteristics Calculators

Pre Detection Signal to Noise Ratio of AM
​ Go Pre Detection SNR of SSB = (Amplitude of Carrier Signal^2*(1+Amplitude Sensitivity of Modulator^2*Total Power))/(2*Noise Density*Transmission Bandwidth)
Post Detection Signal to Noise Ratio of AM
​ Go Post Detection SNR of AM = (Amplitude of Carrier Signal^2*Amplitude Sensitivity of Modulator^2*Total Power)/(2*Noise Density*Transmission Bandwidth)
Coupling Factor of AM Receiver
​ Go Coupling Factor = (Image Frequency/Radio Frequency)-(Radio Frequency/Image Frequency)
Phase Deviation of AM Receiver
​ Go Phase Deviation = Proportionality Constant*Amplitude of Modulating Signal*Modulating Signal Frequency
Quality Factor of AM Receiver
​ Go Quality Factor = 1/(2*pi)*sqrt(Inductance/Capacitance)
Total Current of AM Wave
​ Go Total Current of AM Wave = Carrier Current*sqrt(1+((Modulation Index^2)/2))
Total Power of AM wave
​ Go Total Power = Carrier Power+Upper Sideband Power+Lower Sideband Power
Magnitude of Modulating Signal
​ Go Modulating Signal Magnitude = (Maximum Amplitude of AM Wave-Minimum Amplitude of AM Wave)/2
Maximum Amplitude of AM Wave
​ Go Maximum Amplitude of AM Wave = Amplitude of Carrier Signal*(1+Modulation Index^2)
Minimum Amplitude of AM Wave
​ Go Minimum Amplitude of AM Wave = Amplitude of Carrier Signal*(1-Modulation Index^2)
Amplitude of Each Sideband
​ Go Amplitude of each Sideband = (Modulation Index*Amplitude of Carrier Signal)/2
Image Frequency Bandwidth of AM Receiver
​ Go Image Frequency Bandwidth = Radio Frequency Bandwidth/Bandwidth Improvement
Radio Frequency Bandwidth of AM Receiver
​ Go Radio Frequency Bandwidth = Bandwidth Improvement*Image Frequency Bandwidth
Bandwidth Improvement of AM Receiver
​ Go Bandwidth Improvement = Radio Frequency Bandwidth/Image Frequency Bandwidth
Local Oscillation Frequency of AM Receiver
​ Go Local Oscillation Frequency = Radio Frequency+Intermediate Frequency
Average Total Power of AM Wave
​ Go Total Power = Carrier Power*(1+(Modulation Index^2)/2)
Amplitude Sensitivity of Modulator
​ Go Amplitude Sensitivity of Modulator = 1/Amplitude of Carrier Signal
Bandwidth of AM wave
​ Go Bandwidth of AM Wave = 2*Maximum Frequency

Coupling Factor of AM Receiver Formula

Coupling Factor = (Image Frequency/Radio Frequency)-(Radio Frequency/Image Frequency)
cf = (fimg/frf)-(frf/fimg)

What are some of the applications of coupling factor in receivers?

Coupling factor is an important parameter of a receiver, as it affects its performance in a number of ways, including image frequency rejection ratio (IMRR), noise figure, and sensitivity.

Image rejection: The image frequency is a frequency that is reflected around the local oscillator frequency and can interfere with the desired signal. The coupling factor can be adjusted to optimize the IMRR of the receiver, which is the ability of the receiver to reject the image signal. This is important for applications where the image signal is likely to be strong, such as in urban areas.
Sensitivity: The sensitivity of a receiver is its ability to detect weak signals. The coupling factor can be adjusted to improve the sensitivity of the receiver. This is important for applications where the incoming signal is likely to be weak, such as in rural areas.

How to Calculate Coupling Factor of AM Receiver?

Coupling Factor of AM Receiver calculator uses Coupling Factor = (Image Frequency/Radio Frequency)-(Radio Frequency/Image Frequency) to calculate the Coupling Factor, The Coupling Factor of AM Receiver formula is defined as a measure of how much of the incoming signal is coupled to the local oscillator. It is typically expressed as a percentage, with a higher coupling factor indicating more energy transfer. Coupling Factor is denoted by cf symbol.

How to calculate Coupling Factor of AM Receiver using this online calculator? To use this online calculator for Coupling Factor of AM Receiver, enter Image Frequency (fimg) & Radio Frequency (frf) and hit the calculate button. Here is how the Coupling Factor of AM Receiver calculation can be explained with given input values -> 3.263403 = (195/55)-(55/195).

FAQ

What is Coupling Factor of AM Receiver?
The Coupling Factor of AM Receiver formula is defined as a measure of how much of the incoming signal is coupled to the local oscillator. It is typically expressed as a percentage, with a higher coupling factor indicating more energy transfer and is represented as cf = (fimg/frf)-(frf/fimg) or Coupling Factor = (Image Frequency/Radio Frequency)-(Radio Frequency/Image Frequency). Image Frequency is defined as the sum of received signal and twice the intermediate frequency & Radio Frequency is the oscillation rate of an alternating electric current or voltage or of a magnetic, electric or electromagnetic field or mechanical system.
How to calculate Coupling Factor of AM Receiver?
The Coupling Factor of AM Receiver formula is defined as a measure of how much of the incoming signal is coupled to the local oscillator. It is typically expressed as a percentage, with a higher coupling factor indicating more energy transfer is calculated using Coupling Factor = (Image Frequency/Radio Frequency)-(Radio Frequency/Image Frequency). To calculate Coupling Factor of AM Receiver, you need Image Frequency (fimg) & Radio Frequency (frf). With our tool, you need to enter the respective value for Image Frequency & Radio Frequency and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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