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Inverse of System Function Formula

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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). Check FAQs

H inv = \frac{1}{H s}

H_inv - Inverse System Function?H_s - System Function?

Inverse of System Function Example

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With units

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Here is how the Inverse of System Function equation looks like with Values.

Here is how the Inverse of System Function equation looks like with Units.

Here is how the Inverse of System Function equation looks like.

0.4167 = \frac{1}{2.4}

0.4167 = \frac{1}{2.4}

0.4167 = \frac{1}{2.4}

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Inverse of System Function Solution

Follow our step by step solution on how to calculate Inverse of System Function?

FIRST Step Consider the formula

H inv = \frac{1}{H s}

Next Step Substitute values of Variables

∴

H inv = \frac{1}{2.4}

Next Step Prepare to Evaluate

∴

H inv = \frac{1}{2.4}

Next Step Evaluate

∴

H inv = 0.416666666666667

LAST Step Rounding Answer

∴

H inv = 0.4167

Inverse of System Function Formula Elements

Variables

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).

Symbol: H_inv

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Inverse System Function

System Function

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

Symbol: H_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find System Function

Other formulas in Continuous Time Signals category

Go Transfer Function

H = \frac{S out}{S in}

Go Natural Frequency

f n = \sqrt{f in \cdot f h}

Go Damping Co-efficient

ζ = \frac{1}{2 \cdot A o} \cdot \sqrt{\frac{f in}{f h}}

Go Coupling Co-efficient

γ = \frac{C o}{C + C o}

How to Evaluate Inverse of System Function?

Inverse of System Function evaluator uses Inverse System Function = 1/System Function to evaluate 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 evaluate Inverse of System Function using this online evaluator? To use this online evaluator for Inverse of System Function, enter System Function (H_s) and hit the calculate button.

FAQs on Inverse of System Function

What is the formula to find Inverse of System Function?

The formula of Inverse of System Function is expressed as Inverse System Function = 1/System Function. Here is an example- 0.416667 = 1/2.4.

How to calculate Inverse of System Function?

With System Function (H_s) we can find Inverse of System Function using the formula - Inverse System Function = 1/System Function.

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