Inverse of System Function Calculator

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✖System Function refers to the function used to study the conditions under which a system is causal, stable, and can be inverted.ⓘ System Function [H_s]

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✖Inverse System Function means that we have a continuous time LTI system with impulse response h(t) and its inverse system with impulse response h1(t) which results in an output equal to x(t).ⓘ Inverse of System Function [H_inv]

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Formula

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Inverse of System Function

Formula

`"H"_{"inv"} = 1/"H"_{"s"}`

Example

`"0.416667"=1/"2.4"`

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Inverse of System Function Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inverse System Function = 1/System Function
H_inv = 1/H_s
This formula uses 2 Variables

Variables Used

Inverse System Function - Inverse System Function means that we have a continuous time LTI system with impulse response h(t) and its inverse system with impulse response h1(t) which results in an output equal to x(t).
System Function - System Function refers to the function used to study the conditions under which a system is causal, stable, and can be inverted.

STEP 1: Convert Input(s) to Base Unit

System Function: 2.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_inv = 1/H_s --> 1/2.4

Evaluating ... ...

H_inv = 0.416666666666667

STEP 3: Convert Result to Output's Unit

0.416666666666667 --> No Conversion Required

FINAL ANSWER

0.416666666666667 ≈ 0.416667 <-- Inverse System Function

(Calculation completed in 00.020 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

Inverse of System Function Formula

Inverse System Function = 1/System Function
H_inv = 1/H_s

What is the stability of LTI system Laplace transform?

An LTI system is stable if and only if the ROC of the transfer function's Laplace transform includes the imaginary axis.

How to Calculate Inverse of System Function?

Inverse of System Function calculator uses Inverse System Function = 1/System Function to calculate the Inverse System Function, The Inverse of System Function formula is defined as an LTI system is invertible then it will have a LTI inverse system. This means that we have a continuous time LTI system with impulse response h(t) and its inverse system with impulse response h1(t) which results in an output equal to x(t). Inverse System Function is denoted by H_inv symbol.

How to calculate Inverse of System Function using this online calculator? To use this online calculator for Inverse of System Function, enter System Function (H_s) and hit the calculate button. Here is how the Inverse of System Function calculation can be explained with given input values -> 0.416667 = 1/2.4.

FAQ

What is Inverse of System Function?

The Inverse of System Function formula is defined as an LTI system is invertible then it will have a LTI inverse system. This means that we have a continuous time LTI system with impulse response h(t) and its inverse system with impulse response h1(t) which results in an output equal to x(t) and is represented as H_inv = 1/H_s or Inverse System Function = 1/System Function. System Function refers to the function used to study the conditions under which a system is causal, stable, and can be inverted.

How to calculate Inverse of System Function?

The Inverse of System Function formula is defined as an LTI system is invertible then it will have a LTI inverse system. This means that we have a continuous time LTI system with impulse response h(t) and its inverse system with impulse response h1(t) which results in an output equal to x(t) is calculated using Inverse System Function = 1/System Function. To calculate Inverse of System Function, you need System Function (H_s). With our tool, you need to enter the respective value for System Function 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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