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Transmittance Filtering Calculator

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Discrete Time Signals Continuous Time Signals

✖Input Periodic Frequency is the number of complete cycles of a periodic phenomenon that occur in one second.ⓘ Input Periodic Frequency [f_inp]			+10% -10%
✖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.ⓘ Sampling Frequency [f_e]			+10% -10%

✖Transmittance Filtering is a linear filter which attenuates the transmittance over a broad range of wavelengths.ⓘ Transmittance Filtering [K_f]

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Transmittance Filtering Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transmittance Filtering = sinc(pi*(Input Periodic Frequency/Sampling Frequency))
K_f = sinc(pi*(f_inp/f_e))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sinc - The sinc function is a function that is frequently used in signal processing and the theory of Fourier transforms., sinc(Number)

Variables Used

Transmittance Filtering - Transmittance Filtering is a linear filter which attenuates the transmittance over a broad range of wavelengths.
Input Periodic Frequency - (Measured in Hertz) - Input Periodic Frequency is the number of complete cycles of a periodic phenomenon that occur in one second.
Sampling Frequency - (Measured in Hertz) - 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.

STEP 1: Convert Input(s) to Base Unit

Input Periodic Frequency: 5.01 Hertz --> 5.01 Hertz No Conversion Required
Sampling Frequency: 40.1 Hertz --> 40.1 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_f = sinc(pi*(f_inp/f_e)) --> sinc(pi*(5.01/40.1))

Evaluating ... ...

K_f = 0.765166501444914

STEP 3: Convert Result to Output's Unit

0.765166501444914 --> No Conversion Required

FINAL ANSWER

0.765166501444914 ≈ 0.765167 <-- Transmittance Filtering

(Calculation completed in 00.004 seconds)

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< Discrete Time Signals Calculators

Triangular Window

LaTeX Go Triangular Window = 0.42-0.52*cos((2*pi*Number of Samples)/(Sample Signal Window-1))-0.08*cos((4*pi*Number of Samples)/(Sample Signal Window-1))

Cutoff Angular Frequency

LaTeX Go Cutoff Angular Frequency = (Maximal Variation*Central Frequency)/(Sample Signal Window*Clock Count)

Hanning Window

LaTeX Go Hanning Window = 1/2-(1/2)*cos((2*pi*Number of Samples)/(Sample Signal Window-1))

Hamming Window

LaTeX Go Hamming Window = 0.54-0.46*cos((2*pi*Number of Samples)/(Sample Signal Window-1))

Transmittance Filtering Formula

LaTeX Go

Transmittance Filtering = sinc(pi*(Input Periodic Frequency/Sampling Frequency))
K_f = sinc(pi*(f_inp/f_e))

What is the importance of transmittance?

When a light beam is focused on an optically clear surface, a part of the light gets absorbed by the surface, some of it gets scattered and the remaining gets transmitted through the material.

How to Calculate Transmittance Filtering?

Transmittance Filtering calculator uses Transmittance Filtering = sinc(pi*(Input Periodic Frequency/Sampling Frequency)) to calculate 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 calculate Transmittance Filtering using this online calculator? To use this online calculator for Transmittance Filtering, enter Input Periodic Frequency (f_inp) & Sampling Frequency (f_e) and hit the calculate button. Here is how the Transmittance Filtering calculation can be explained with given input values -> 0.765167 = sinc(pi*(5.01/40.1)).

FAQ

What is 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 and is represented as K_f = sinc(pi*(f_inp/f_e)) or Transmittance Filtering = sinc(pi*(Input Periodic Frequency/Sampling Frequency)). Input Periodic Frequency is the number of complete cycles of a periodic phenomenon that occur in one second & 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.

How to calculate 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 is calculated using Transmittance Filtering = sinc(pi*(Input Periodic Frequency/Sampling Frequency)). To calculate Transmittance Filtering, you need Input Periodic Frequency (f_inp) & Sampling Frequency (f_e). With our tool, you need to enter the respective value for Input Periodic Frequency & Sampling Frequency 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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