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Transmittance Filtering Formula

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Transmittance Filtering is a linear filter which attenuates the transmittance over a broad range of wavelengths. Check FAQs

K f = \sin c (π \cdot (\frac{f inp}{f e}))

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

Transmittance Filtering Example

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

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

Here is how the Transmittance Filtering equation looks like.

0.7652 = \sin c (3.1416 \cdot (\frac{5.01}{40.1}))

0.7652 = \sin c (3.1416 \cdot (\frac{5.01Hz}{40.1Hz}))

0.7652 = \sin c (3.1416 \cdot (\frac{5.01}{40.1}))

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Transmittance Filtering Solution

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

FIRST Step Consider the formula

K f = \sin c (π \cdot (\frac{f inp}{f e}))

Next Step Substitute values of Variables

∴

K f = \sin c (π \cdot (\frac{5.01Hz}{40.1Hz}))

Next Step Substitute values of Constants

∴

K f = \sin c (3.1416 \cdot (\frac{5.01Hz}{40.1Hz}))

Next Step Prepare to Evaluate

∴

K f = \sin c (3.1416 \cdot (\frac{5.01}{40.1}))

Next Step Evaluate

∴

K f = 0.765166501444914

LAST Step Rounding Answer

∴

K f = 0.7652

Transmittance Filtering Formula Elements

Variables

Constants

Functions

Transmittance Filtering

Transmittance Filtering is a linear filter which attenuates the transmittance over a broad range of wavelengths.

Symbol: K_f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find 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 Transmittance Filtering?

Transmittance Filtering evaluator uses Transmittance Filtering = sinc(pi*(Input Periodic Frequency/Sampling Frequency)) to evaluate the Transmittance Filtering, The Transmittance Filtering formula is defined as the ratio of the light passing through to the light incident on the specimens and the reflectance of the light. Transmittance Filtering is denoted by K_f symbol.

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

FAQs on Transmittance Filtering

What is the formula to find Transmittance Filtering?

The formula of Transmittance Filtering is expressed as Transmittance Filtering = sinc(pi*(Input Periodic Frequency/Sampling Frequency)). Here is an example- 0.765167 = sinc(pi*(5.01/40.1)).

How to calculate Transmittance Filtering?

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

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Transmittance Filtering Formula

Transmittance Filtering Example

Transmittance Filtering Solution

Transmittance Filtering Formula Elements

Other formulas in Discrete Time Signals category

How to Evaluate Transmittance Filtering?

FAQs on Transmittance Filtering

Variable Name