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Inverse Transmittance Filtering Formula

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Inverse Transmittance Filtering in discrete signal processing involves applying a filter that replicates the inverse of a previously applied filter or system. Check FAQs

K n = {(\sin c (π \cdot \frac{f inp}{f e}))}^{- 1}

K_n - Inverse Transmittance Filtering?f_inp - Input Periodic Frequency?f_e - Sampling Frequency?π - Archimedes' constant?

Inverse Transmittance Filtering Example

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Here is how the Inverse Transmittance Filtering equation looks like with Values.

Here is how the Inverse Transmittance Filtering equation looks like with Units.

Here is how the Inverse Transmittance Filtering equation looks like.

1.3069 = {(\sin c (3.1416 \cdot \frac{5.01}{40.1}))}^{- 1}

1.3069 = {(\sin c (3.1416 \cdot \frac{5.01Hz}{40.1Hz}))}^{- 1}

1.3069 = {(\sin c (3.1416 \cdot \frac{5.01}{40.1}))}^{- 1}

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Inverse Transmittance Filtering Solution

Follow our step by step solution on how to calculate Inverse Transmittance Filtering?

FIRST Step Consider the formula

K n = {(\sin c (π \cdot \frac{f inp}{f e}))}^{- 1}

Next Step Substitute values of Variables

∴

K n = {(\sin c (π \cdot \frac{5.01Hz}{40.1Hz}))}^{- 1}

Next Step Substitute values of Constants

∴

K n = {(\sin c (3.1416 \cdot \frac{5.01Hz}{40.1Hz}))}^{- 1}

Next Step Prepare to Evaluate

∴

K n = {(\sin c (3.1416 \cdot \frac{5.01}{40.1}))}^{- 1}

Next Step Evaluate

∴

K n = 1.30690509596491

LAST Step Rounding Answer

∴

K n = 1.3069

Inverse Transmittance Filtering Formula Elements

Variables

Constants

Functions

Inverse Transmittance Filtering

Inverse Transmittance Filtering in discrete signal processing involves applying a filter that replicates the inverse of a previously applied filter or system.

Symbol: K_n

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Inverse Transmittance Filtering

Input Periodic Frequency

Input Periodic Frequency is the number of complete cycles of a periodic phenomenon that occur in one second.

Symbol: f_inp

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Input Periodic Frequency

Sampling Frequency

Sampling Frequency defines the number of samples per second (or per other unit) taken from a continuous signal to make a discrete or digital signal.

Symbol: f_e

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Sampling Frequency

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

sinc

The sinc function is a function that is frequently used in signal processing and the theory of Fourier transforms.

Syntax: sinc(Number)

Other formulas in Discrete Time Signals category

Go Cutoff Angular Frequency

ω co = \frac{M \cdot f ce}{W ss \cdot K}

Go Hanning Window

W hn = \frac{1}{2} - (\frac{1}{2}) \cdot \cos (\frac{2 \cdot π \cdot n}{W ss - 1})

Go Hamming Window

W hm = 0.54 - 0.46 \cdot \cos (\frac{2 \cdot π \cdot n}{W ss - 1})

Go Triangular Window

W tn = 0.42 - 0.52 \cdot \cos (\frac{2 \cdot π \cdot n}{W ss - 1}) - 0.08 \cdot \cos (\frac{4 \cdot π \cdot n}{W ss - 1})

How to Evaluate Inverse Transmittance Filtering?

Inverse Transmittance Filtering evaluator uses Inverse Transmittance Filtering = (sinc(pi*Input Periodic Frequency/Sampling Frequency))^-1 to evaluate the Inverse Transmittance Filtering, The Inverse Transmittance Filtering formula is defined as in the Fourier transform plane an inverse filter is made from two separate filters, an amplitude and a phase filter. Inverse Transmittance Filtering is denoted by K_n symbol.

How to evaluate Inverse Transmittance Filtering using this online evaluator? To use this online evaluator for Inverse Transmittance Filtering, enter Input Periodic Frequency (f_inp) & Sampling Frequency (f_e) and hit the calculate button.

FAQs on Inverse Transmittance Filtering

What is the formula to find Inverse Transmittance Filtering?

The formula of Inverse Transmittance Filtering is expressed as Inverse Transmittance Filtering = (sinc(pi*Input Periodic Frequency/Sampling Frequency))^-1. Here is an example- 1.306905 = (sinc(pi*5.01/40.1))^-1.

How to calculate Inverse Transmittance Filtering?

With Input Periodic Frequency (f_inp) & Sampling Frequency (f_e) we can find Inverse Transmittance Filtering using the formula - Inverse Transmittance Filtering = (sinc(pi*Input Periodic Frequency/Sampling Frequency))^-1. This formula also uses Archimedes' constant and Sinc (sinc) function(s).

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