Overall Received Signal in Mobile Communication Calculator

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Frequency Modulation

Amplitude Modulation Characteristics

Analog Noise and Power Analysis

DSBSC Modulation

Fundamentals of Analog Communications

Sideband and Frequency Modulation

✖Index Variable used to iterate over individual signal components or channels while summation is considered.ⓘ Index Variable [n]			+10% -10%
✖Complex Valued Envelope represents the complex-valued envelope of the received signal at time t, where j denotes the specific signal or channel being considered.ⓘ Complex Valued Envelope [a_j[t]]			+10% -10%
✖Angle of Arrival represents the direction from which the signal is arriving at the receiver.ⓘ Angle of Arrival [θ_j]			+10% -10%
✖Carrier Angular Frequency typically represents the carrier frequency of the transmitted signal.ⓘ Carrier Angular Frequency [ω_c]			+10% -10%
✖Time Period of Signal refers to the duration it takes for the signal to repeat itself.ⓘ Time Period of Signal [t]			+10% -10%

✖Overall Received Signal is summation of transmitted signal which is reflected by many buildings and moving cars.ⓘ Overall Received Signal in Mobile Communication [x_R[t]]

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Formula

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Overall Received Signal in Mobile Communication

Formula

`("x"_{"R"}"[t]") = (sum(x,1,"n",("a"_{"j"}"[t]")*cos("θ"_{"j"})))*cos("ω"_{"c"}*"t")-(sum(x,1,"n",("a"_{"j"}"[t]")*sin("θ"_{"j"})))*sin("ω"_{"c"}*"t")`

Example

`"-24.748569"=(sum(x,1,"7","4V"*cos("30rad")))*cos("45Hz"*"4s")-(sum(x,1,"7","4V"*sin("30rad")))*sin("45Hz"*"4s")`

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Overall Received Signal in Mobile Communication Solution

STEP 0: Pre-Calculation Summary

Formula Used

Overall Received Signal = (sum(x,1,Index Variable,Complex Valued Envelope*cos(Angle of Arrival)))*cos(Carrier Angular Frequency*Time Period of Signal)-(sum(x,1,Index Variable,Complex Valued Envelope*sin(Angle of Arrival)))*sin(Carrier Angular Frequency*Time Period of Signal)
x_R[t] = (sum(x,1,n,a_j[t]*cos(θ_j)))*cos(ω_c*t)-(sum(x,1,n,a_j[t]*sin(θ_j)))*sin(ω_c*t)
This formula uses 3 Functions, 6 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
sum - Summation or sigma (∑) notation is a method used to write out a long sum in a concise way., sum(i, from, to, expr)

Variables Used

Overall Received Signal - Overall Received Signal is summation of transmitted signal which is reflected by many buildings and moving cars.
Index Variable - Index Variable used to iterate over individual signal components or channels while summation is considered.
Complex Valued Envelope - (Measured in Volt) - Complex Valued Envelope represents the complex-valued envelope of the received signal at time t, where j denotes the specific signal or channel being considered.
Angle of Arrival - (Measured in Radian) - Angle of Arrival represents the direction from which the signal is arriving at the receiver.
Carrier Angular Frequency - (Measured in Hertz) - Carrier Angular Frequency typically represents the carrier frequency of the transmitted signal.
Time Period of Signal - (Measured in Second) - Time Period of Signal refers to the duration it takes for the signal to repeat itself.

STEP 1: Convert Input(s) to Base Unit

Index Variable: 7 --> No Conversion Required
Complex Valued Envelope: 4 Volt --> 4 Volt No Conversion Required
Angle of Arrival: 30 Radian --> 30 Radian No Conversion Required
Carrier Angular Frequency: 45 Hertz --> 45 Hertz No Conversion Required
Time Period of Signal: 4 Second --> 4 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

x_R[t] = (sum(x,1,n,a_j[t]*cos(θ_j)))*cos(ω_c*t)-(sum(x,1,n,a_j[t]*sin(θ_j)))*sin(ω_c*t) --> (sum(x,1,7,4*cos(30)))*cos(45*4)-(sum(x,1,7,4*sin(30)))*sin(45*4)

Evaluating ... ...

x_R[t] = -24.7485692491064

STEP 3: Convert Result to Output's Unit

-24.7485692491064 --> No Conversion Required

FINAL ANSWER

-24.7485692491064 ≈ -24.748569 <-- Overall Received Signal

(Calculation completed in 00.004 seconds)

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Created by Zaheer Sheik

Seshadri Rao Gudlavalleru Engineering College (SRGEC), Gudlavalleru

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< 12 Frequency Modulation Calculators

Overall Received Signal in Mobile Communication

Go Overall Received Signal = (sum(x,1,Index Variable,Complex Valued Envelope*cos(Angle of Arrival)))*cos(Carrier Angular Frequency*Time Period of Signal)-(sum(x,1,Index Variable,Complex Valued Envelope*sin(Angle of Arrival)))*sin(Carrier Angular Frequency*Time Period of Signal)

Error Vector Magnitude using RMS Voltage

Go Error Vector Magnitude Using Rms Voltage = (1/Rms Voltage of the Signal)*sqrt((1/Number of Error Vectors)*sum(x,1,Number of Error Vectors,(Magnitude of Each Error Vector)^2))

Error Vector Magnitude using Average Power

Go Error Vector Magnitude Using Average Power = (1/Average Signal Power)*(1/Number of Error Vectors)*sum(x,1,Number of Error Vectors,(Magnitude of Each Error Vector)^2)

Bandwidth with respect to Modulation Index of FM

Go Bandwidth of FM Wave = (2*Frequency Deviation)*(1+(1/Modulation Index in FM))

Bandwidth of FM by Carson Rule with Beta

Go Bandwidth of FM Wave = 2*(1+Modulation Index in FM)*Modulating Frequency

Frequency Sensitivity

Go Frequency Sensitivity = Frequency Deviation/Peak Amplitude of Message

Frequency Deviation

Go Frequency Deviation = Frequency Sensitivity*Peak Amplitude of Message

Bandwidth of FM wave by Carson Rule

Go Bandwidth of FM Wave = 2*(Frequency Deviation+Modulating Frequency)

Frequency Deviation provided Modulation Index

Go Frequency Deviation = Modulation Index in FM*Modulating Frequency

Modulation Index of FM Wave

Go Modulation Index in FM = Frequency Deviation/Modulating Frequency

Modulating Frequency

Go Modulating Frequency = Angular Frequency/(2*pi)

Carrier Swing

Go Carrier Swing = 2*Frequency Deviation

Overall Received Signal in Mobile Communication Formula

What is Overall Received Signal in Mobile Communication?

The overall received signal is crucial for designing and optimizing mobile communication systems, as it directly affects the system's performance in terms of signal quality, capacity, and reliability. Techniques such as diversity reception, equalization, and interference cancellation are often employed to mitigate the effects of channel impairments and improve the overall performance of the communication system.

How to Calculate Overall Received Signal in Mobile Communication?

Overall Received Signal in Mobile Communication calculator uses Overall Received Signal = (sum(x,1,Index Variable,Complex Valued Envelope*cos(Angle of Arrival)))*cos(Carrier Angular Frequency*Time Period of Signal)-(sum(x,1,Index Variable,Complex Valued Envelope*sin(Angle of Arrival)))*sin(Carrier Angular Frequency*Time Period of Signal) to calculate the Overall Received Signal, The Overall Received Signal in Mobile Communication formula is the summation of reflected signal by many buildings and moving cars after transmission. Overall Received Signal is denoted by x_R[t] symbol.

How to calculate Overall Received Signal in Mobile Communication using this online calculator? To use this online calculator for Overall Received Signal in Mobile Communication, enter Index Variable (n), Complex Valued Envelope (a_j[t]), Angle of Arrival (θ_j), Carrier Angular Frequency (ω_c) & Time Period of Signal (t) and hit the calculate button. Here is how the Overall Received Signal in Mobile Communication calculation can be explained with given input values -> -24.748569 = (sum(x,1,7,4*cos(30)))*cos(45*4)-(sum(x,1,7,4*sin(30)))*sin(45*4).

FAQ

What is Overall Received Signal in Mobile Communication?

The Overall Received Signal in Mobile Communication formula is the summation of reflected signal by many buildings and moving cars after transmission and is represented as x_R[t] = (sum(x,1,n,a_j[t]*cos(θ_j)))*cos(ω_c*t)-(sum(x,1,n,a_j[t]*sin(θ_j)))*sin(ω_c*t) or Overall Received Signal = (sum(x,1,Index Variable,Complex Valued Envelope*cos(Angle of Arrival)))*cos(Carrier Angular Frequency*Time Period of Signal)-(sum(x,1,Index Variable,Complex Valued Envelope*sin(Angle of Arrival)))*sin(Carrier Angular Frequency*Time Period of Signal). Index Variable used to iterate over individual signal components or channels while summation is considered, Complex Valued Envelope represents the complex-valued envelope of the received signal at time t, where j denotes the specific signal or channel being considered, Angle of Arrival represents the direction from which the signal is arriving at the receiver, Carrier Angular Frequency typically represents the carrier frequency of the transmitted signal & Time Period of Signal refers to the duration it takes for the signal to repeat itself.

How to calculate Overall Received Signal in Mobile Communication?

The Overall Received Signal in Mobile Communication formula is the summation of reflected signal by many buildings and moving cars after transmission is calculated using Overall Received Signal = (sum(x,1,Index Variable,Complex Valued Envelope*cos(Angle of Arrival)))*cos(Carrier Angular Frequency*Time Period of Signal)-(sum(x,1,Index Variable,Complex Valued Envelope*sin(Angle of Arrival)))*sin(Carrier Angular Frequency*Time Period of Signal). To calculate Overall Received Signal in Mobile Communication, you need Index Variable (n), Complex Valued Envelope (a_j[t]), Angle of Arrival (θ_j), Carrier Angular Frequency (ω_c) & Time Period of Signal (t). With our tool, you need to enter the respective value for Index Variable, Complex Valued Envelope, Angle of Arrival, Carrier Angular Frequency & Time Period of Signal 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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