Periodic Signal of Time Fourier Calculator

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✖Time Periodic Signal s one that repeats the sequence of values exactly after a fixed length of time.ⓘ Time Periodic Signal [t]

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✖Periodic Signal is one that repeats the sequence of values exactly after a fixed length of time, known as the period.ⓘ Periodic Signal of Time Fourier [x_p]

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Formula

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Periodic Signal of Time Fourier

Formula

`"x"_{"p"} = sin((2*pi)/"t")`

Example

`"0.642788"=sin((2*pi)/"9")`

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Periodic Signal of Time Fourier Solution

STEP 0: Pre-Calculation Summary

Formula Used

Periodic Signal = sin((2*pi)/Time Periodic Signal)
x_p = sin((2*pi)/t)
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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)

Variables Used

Periodic Signal - Periodic Signal is one that repeats the sequence of values exactly after a fixed length of time, known as the period.
Time Periodic Signal - Time Periodic Signal s one that repeats the sequence of values exactly after a fixed length of time.

STEP 1: Convert Input(s) to Base Unit

Time Periodic Signal: 9 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

x_p = sin((2*pi)/t) --> sin((2*pi)/9)

Evaluating ... ...

x_p = 0.642787609686539

STEP 3: Convert Result to Output's Unit

0.642787609686539 --> No Conversion Required

FINAL ANSWER

0.642787609686539 ≈ 0.642788 <-- Periodic Signal

(Calculation completed in 00.004 seconds)

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Created by Rahul Gupta

Chandigarh University (CU), Mohali, Punjab

Rahul Gupta has created this Calculator and 25+ more calculators!

Verified by Ritwik Tripathi

Vellore Institute of Technology (VIT Vellore), Vellore

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< 15 Continuous Time Signals Calculators

Current for Loaded Admittance

Go Current for Loaded Admittance = Current for Internal Admittance*Loaded Admittance/(Internal Admittance+Loaded Admittance)

Open Loop Gain of Signal

Go Open Loop Gain = 1/(2*Damping Co-efficient)*sqrt(Input Frequency/High Frequency)

Damping Co-efficient

Go Damping Co-efficient = 1/(2*Open Loop Gain)*sqrt(Input Frequency/High Frequency)

Voltage for Loaded Admittance

Go Voltage of Loaded Admittance = Current for Internal Admittance/(Internal Admittance+Loaded Admittance)

Damping Co-efficient in State-Space Form

Go Damping Co-efficient = Initial Resistance*sqrt(Capacitance/Inductance)

Resistance with respect to Damping Coefficient

Go Initial Resistance = Damping Co-efficient/(Capacitance/Inductance)^(1/2)

Coupling Co-efficient

Go Coupling Coefficient = Input Capacitance/(Capacitance+Input Capacitance)

Natural Frequency

Go Natural Frequency = sqrt(Input Frequency*High Frequency)

Periodic Signal of Time Fourier

Go Periodic Signal = sin((2*pi)/Time Periodic Signal)

Output of Time Invariant Signal

Go Time Invariant Output Signal = Time Invariant Input Signal*Impulse Response

Transfer Function

Go Transfer Function = Output Signal/Input Signal

Angular Frequency of Signal

Go Angular Frequency = 2*pi/Time Period

Time Period of Signal

Go Time Period = 2*pi/Angular Frequency

Frequency of Signal

Go Frequency = 2*pi/Angular Frequency

Inverse of System Function

Go Inverse System Function = 1/System Function

Periodic Signal of Time Fourier Formula

Periodic Signal = sin((2*pi)/Time Periodic Signal)
x_p = sin((2*pi)/t)

What is periodicity of a time series?

A periodicity is a pattern in a time series that occurs at regular time inter- vals. More precisely, the time series is said cyclical, if the time intervals at which the pattern repeats itself can't be precisely defined and is not constant.

How to Calculate Periodic Signal of Time Fourier?

Periodic Signal of Time Fourier calculator uses Periodic Signal = sin((2*pi)/Time Periodic Signal) to calculate the Periodic Signal, The Periodic Signal of Time Fourier formula is defined as a signal is considered to be periodic signal when it is repeated over cycle of time or regular interval of time. This means periodic signal repeats its pattern over a period. Periodic Signal is denoted by x_p symbol.

How to calculate Periodic Signal of Time Fourier using this online calculator? To use this online calculator for Periodic Signal of Time Fourier, enter Time Periodic Signal (t) and hit the calculate button. Here is how the Periodic Signal of Time Fourier calculation can be explained with given input values -> 0.642788 = sin((2*pi)/9).

FAQ

What is Periodic Signal of Time Fourier?

The Periodic Signal of Time Fourier formula is defined as a signal is considered to be periodic signal when it is repeated over cycle of time or regular interval of time. This means periodic signal repeats its pattern over a period and is represented as x_p = sin((2*pi)/t) or Periodic Signal = sin((2*pi)/Time Periodic Signal). Time Periodic Signal s one that repeats the sequence of values exactly after a fixed length of time.

How to calculate Periodic Signal of Time Fourier?

The Periodic Signal of Time Fourier formula is defined as a signal is considered to be periodic signal when it is repeated over cycle of time or regular interval of time. This means periodic signal repeats its pattern over a period is calculated using Periodic Signal = sin((2*pi)/Time Periodic Signal). To calculate Periodic Signal of Time Fourier, you need Time Periodic Signal (t). With our tool, you need to enter the respective value for Time Periodic 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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