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Overall Received Signal in Mobile Communication Formula

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Overall Received Signal is summation of transmitted signal which is reflected by many buildings and moving cars. Check FAQs

x R [t] = (\sum (x, 1, n, a j [t] \cdot \cos (θ j))) \cdot \cos (ω c \cdot t) - (\sum (x, 1, n, a j [t] \cdot \sin (θ j))) \cdot \sin (ω c \cdot t)

x_R[t] - Overall Received Signal?n - Index Variable?a_j[t] - Complex Valued Envelope?θ_j - Angle of Arrival?ω_c - Carrier Angular Frequency?t - Time Period of Signal?

Overall Received Signal in Mobile Communication Example

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Here is how the Overall Received Signal in Mobile Communication equation looks like with Values.

Here is how the Overall Received Signal in Mobile Communication equation looks like with Units.

Here is how the Overall Received Signal in Mobile Communication equation looks like.

-24.7486 = (\sum (x, 1, 7, 4 \cdot \cos (30))) \cdot \cos (45 \cdot 4) - (\sum (x, 1, 7, 4 \cdot \sin (30))) \cdot \sin (45 \cdot 4)

-24.7486 = (\sum (x, 1, 7, 4V \cdot \cos (30rad))) \cdot \cos (45Hz \cdot 4s) - (\sum (x, 1, 7, 4V \cdot \sin (30rad))) \cdot \sin (45Hz \cdot 4s)

-24.7486 = (\sum (x, 1, 7, 4 \cdot \cos (30))) \cdot \cos (45 \cdot 4) - (\sum (x, 1, 7, 4 \cdot \sin (30))) \cdot \sin (45 \cdot 4)

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Overall Received Signal in Mobile Communication Solution

Follow our step by step solution on how to calculate Overall Received Signal in Mobile Communication?

FIRST Step Consider the formula

x R [t] = (\sum (x, 1, n, a j [t] \cdot \cos (θ j))) \cdot \cos (ω c \cdot t) - (\sum (x, 1, n, a j [t] \cdot \sin (θ j))) \cdot \sin (ω c \cdot t)

Next Step Substitute values of Variables

∴

x R [t] = (\sum (x, 1, 7, 4V \cdot \cos (30rad))) \cdot \cos (45Hz \cdot 4s) - (\sum (x, 1, 7, 4V \cdot \sin (30rad))) \cdot \sin (45Hz \cdot 4s)

Next Step Prepare to Evaluate

∴

x R [t] = (\sum (x, 1, 7, 4 \cdot \cos (30))) \cdot \cos (45 \cdot 4) - (\sum (x, 1, 7, 4 \cdot \sin (30))) \cdot \sin (45 \cdot 4)

Next Step Evaluate

∴

x R [t] = -24.7485692491064

LAST Step Rounding Answer

∴

x R [t] = -24.7486

Overall Received Signal in Mobile Communication Formula Elements

Variables

Functions

Overall Received Signal

Overall Received Signal is summation of transmitted signal which is reflected by many buildings and moving cars.

Symbol: x_R[t]

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Overall Received Signal

Index Variable

Index Variable used to iterate over individual signal components or channels while summation is considered.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Index Variable

Complex Valued Envelope

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.

Symbol: a_j[t]

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Complex Valued Envelope

Angle of Arrival

Angle of Arrival represents the direction from which the signal is arriving at the receiver.

Symbol: θ_j

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Angle of Arrival

Carrier Angular Frequency

Carrier Angular Frequency typically represents the carrier frequency of the transmitted signal.

Symbol: ω_c

Measurement: FrequencyUnit: Hz

Note: Value can be positive or negative.

Formulas to find Carrier Angular Frequency

Time Period of Signal

Time Period of Signal refers to the duration it takes for the signal to repeat itself.

Symbol: t

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Time Period of Signal

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.

Syntax: sin(Angle)

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

sum

Summation or sigma (∑) notation is a method used to write out a long sum in a concise way.

Syntax: sum(i, from, to, expr)

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Go Frequency Deviation provided Modulation Index

Δf = β \cdot f mod

Go Frequency Deviation

Δf = K f \cdot A m(peak)

How to Evaluate Overall Received Signal in Mobile Communication?

Overall Received Signal in Mobile Communication evaluator 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 evaluate 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 evaluate Overall Received Signal in Mobile Communication using this online evaluator? To use this online evaluator 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.

FAQs on Overall Received Signal in Mobile Communication

What is the formula to find Overall Received Signal in Mobile Communication?

The formula of Overall Received Signal in Mobile Communication is expressed as 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). Here is an example- -24.748569 = (sum(x,1,7,4*cos(30)))*cos(45*4)-(sum(x,1,7,4*sin(30)))*sin(45*4).

How to calculate Overall Received Signal in Mobile Communication?

With Index Variable (n), Complex Valued Envelope (a_j[t]), Angle of Arrival (θ_j), Carrier Angular Frequency (ω_c) & Time Period of Signal (t) we can find Overall Received Signal in Mobile Communication using the 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). This formula also uses Sine (sin)Cosine (cos), Summation Notation (sum) function(s).

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Overall Received Signal in Mobile Communication Formula

Overall Received Signal in Mobile Communication Example

Overall Received Signal in Mobile Communication Solution

Overall Received Signal in Mobile Communication Formula Elements

Other formulas in Frequency Modulation category

How to Evaluate Overall Received Signal in Mobile Communication?

FAQs on Overall Received Signal in Mobile Communication

Variable Name