Inverse 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%

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

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Formula

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Inverse Transmittance Filtering

Formula

`"K"_{"n"} = (sinc(pi*"f"_{"inp"}/"f"_{"e"}))^-1`

Example

`"1.306905"=(sinc(pi*"5.01Hz"/"40.1Hz"))^-1`

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Inverse Transmittance Filtering Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inverse Transmittance Filtering = (sinc(pi*Input Periodic Frequency/Sampling Frequency))^-1
K_n = (sinc(pi*f_inp/f_e))^-1
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

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.
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_n = (sinc(pi*f_inp/f_e))^-1 --> (sinc(pi*5.01/40.1))^-1

Evaluating ... ...

K_n = 1.30690509596491

STEP 3: Convert Result to Output's Unit

1.30690509596491 --> No Conversion Required

FINAL ANSWER

1.30690509596491 ≈ 1.306905 <-- Inverse Transmittance Filtering

(Calculation completed in 00.004 seconds)

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Created by Rahul Gupta

Chandigarh University (CU), Mohali, Punjab

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< 14 Discrete Time Signals Calculators

Triangular Window

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))

Damping Coefficient of Second Order Transmittance

Go Damping Coefficient = (1/2)*Input Resistance*Initial Capacitance*sqrt((Transmittance Filtering*Input Inductance)/(Sample Signal Window*Initial Capacitance))

Fourier Transform of Rectangular Window

Go Rectangular Window = sin(2*pi*Unlimited Time Signal*Input Periodic Frequency)/(pi*Input Periodic Frequency)

Sampling Frequency of Bilinear

Go Sampling Frequency = (pi*Distortion Frequency)/arctan((2*pi*Distortion Frequency)/Bilinear Frequency)

Bilinear Transformation Frequency

Go Bilinear Frequency = (2*pi*Distortion Frequency)/tan(pi*Distortion Frequency/Sampling Frequency)

Natural Angular Frequency of Second Order Transmittance

Go Natural Angular Frequency = sqrt((Transmittance Filtering*Input Inductance)/(Sample Signal Window*Initial Capacitance))

Cutoff Angular Frequency

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

Maximal Variation of Cutoff Angular Frequency

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

Inverse Transmittance Filtering

Go Inverse Transmittance Filtering = (sinc(pi*Input Periodic Frequency/Sampling Frequency))^-1

Hanning Window

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

Hamming Window

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

Transmittance Filtering

Go Transmittance Filtering = sinc(pi*(Input Periodic Frequency/Sampling Frequency))

Initial Frequency of Dirac Comb Angle

Go Initial Frequency = (2*pi*Input Periodic Frequency)/Signal Angle

Frequency Dirac Comb Angle

Go Signal Angle = 2*pi*Input Periodic Frequency*1/Initial Frequency

Inverse Transmittance Filtering Formula

Inverse Transmittance Filtering = (sinc(pi*Input Periodic Frequency/Sampling Frequency))^-1
K_n = (sinc(pi*f_inp/f_e))^-1

What are limitations of inverse filtering in image processing?

If there is noise in the degradation process, the noise terms will be greatly increased by the inverse filter and it will intensively distort the image. This is the reason that inverse filtering is not a good technique for image restoration.

How to Calculate Inverse Transmittance Filtering?

Inverse Transmittance Filtering calculator uses Inverse Transmittance Filtering = (sinc(pi*Input Periodic Frequency/Sampling Frequency))^-1 to calculate 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 calculate Inverse Transmittance Filtering using this online calculator? To use this online calculator for Inverse Transmittance Filtering, enter Input Periodic Frequency (f_inp) & Sampling Frequency (f_e) and hit the calculate button. Here is how the Inverse Transmittance Filtering calculation can be explained with given input values -> 1.306905 = (sinc(pi*5.01/40.1))^-1.

FAQ

What is 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 and is represented as K_n = (sinc(pi*f_inp/f_e))^-1 or Inverse Transmittance Filtering = (sinc(pi*Input Periodic Frequency/Sampling Frequency))^-1. 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 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 is calculated using Inverse Transmittance Filtering = (sinc(pi*Input Periodic Frequency/Sampling Frequency))^-1. To calculate Inverse 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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