## 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)
xR[t] = (sum(x,1,n,aj[t]*cos(θj)))*cos(ωc*t)-(sum(x,1,n,aj[t]*sin(θj)))*sin(ωc*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
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
xR[t] = (sum(x,1,n,aj[t]*cos(θj)))*cos(ωc*t)-(sum(x,1,n,aj[t]*sin(θj)))*sin(ωc*t) --> (sum(x,1,7,4*cos(30)))*cos(45*4)-(sum(x,1,7,4*sin(30)))*sin(45*4)
Evaluating ... ...
xR[t] = -24.7485692491064
STEP 3: Convert Result to Output's Unit
-24.7485692491064 --> No Conversion Required
-24.7485692491064 -24.748569 <-- Overall Received Signal
(Calculation completed in 00.004 seconds)
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## Credits

Created by Zaheer Sheik
Seshadri Rao Gudlavalleru Engineering College (SRGEC), Gudlavalleru
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## Overall Received Signal in Mobile Communication Formula

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)
xR[t] = (sum(x,1,n,aj[t]*cos(θj)))*cos(ωc*t)-(sum(x,1,n,aj[t]*sin(θj)))*sin(ωc*t)

## 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 xR[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 (aj[t]), Angle of Arrival j), Carrier Angular Frequency 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 xR[t] = (sum(x,1,n,aj[t]*cos(θj)))*cos(ωc*t)-(sum(x,1,n,aj[t]*sin(θj)))*sin(ωc*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 (aj[t]), Angle of Arrival j), Carrier Angular Frequency 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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