Initial Frequency of Dirac Comb Angle 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%
✖Signal Angle is the direction from which the signal (e.g. radio, optical or acoustic) is received.ⓘ Signal Angle [θ]			+10% -10%

✖Initial Frequency refers to the frequency of damping coefficient when external force is exerted to reduce the frequency at which an object was in motion.ⓘ Initial Frequency of Dirac Comb Angle [f_o]

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Formula

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Initial Frequency of Dirac Comb Angle

Formula

`"f"_{"o"} = (2*pi*"f"_{"inp"})/"θ"`

Example

`"50.77219Hz"=(2*pi*"5.01Hz")/"0.62rad"`

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Initial Frequency of Dirac Comb Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Initial Frequency = (2*pi*Input Periodic Frequency)/Signal Angle
f_o = (2*pi*f_inp)/θ
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Initial Frequency - (Measured in Hertz) - Initial Frequency refers to the frequency of damping coefficient when external force is exerted to reduce the frequency at which an object was in motion.
Input Periodic Frequency - (Measured in Hertz) - Input Periodic Frequency is the number of complete cycles of a periodic phenomenon that occur in one second.
Signal Angle - (Measured in Radian) - Signal Angle is the direction from which the signal (e.g. radio, optical or acoustic) is received.

STEP 1: Convert Input(s) to Base Unit

Input Periodic Frequency: 5.01 Hertz --> 5.01 Hertz No Conversion Required
Signal Angle: 0.62 Radian --> 0.62 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_o = (2*pi*f_inp)/θ --> (2*pi*5.01)/0.62

Evaluating ... ...

f_o = 50.7721909499512

STEP 3: Convert Result to Output's Unit

50.7721909499512 Hertz --> No Conversion Required

FINAL ANSWER

50.7721909499512 ≈ 50.77219 Hertz <-- Initial Frequency

(Calculation completed in 00.004 seconds)

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Credits

Created by Rahul Gupta

Chandigarh University (CU), Mohali, Punjab

Rahul Gupta has created this Calculator and 25+ more calculators!

Verified by Ritwik Tripathi

Vellore Institute of Technology (VIT Vellore), Vellore

Ritwik Tripathi has verified this Calculator and 100+ more calculators!

< 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

Initial Frequency of Dirac Comb Angle Formula

Initial Frequency = (2*pi*Input Periodic Frequency)/Signal Angle
f_o = (2*pi*f_inp)/θ

What is the Dirac comb as a tempered distribution?

The Dirac comb function allows one to represent both continuous and discrete phenomena, such as sampling and aliasing, in a single framework of continuous Fourier analysis on tempered distributions, without any reference to Fourier series. The Fourier transform of a Dirac comb is another Dirac comb.

How to Calculate Initial Frequency of Dirac Comb Angle?

Initial Frequency of Dirac Comb Angle calculator uses Initial Frequency = (2*pi*Input Periodic Frequency)/Signal Angle to calculate the Initial Frequency, The Initial Frequency of Dirac Comb Angle formula is defined as as a periodic repetition of the Dirac impulse, where the distinct impulses are T apart. or equivalently as a sum of complex exponentials that have frequencies. Initial Frequency is denoted by f_o symbol.

How to calculate Initial Frequency of Dirac Comb Angle using this online calculator? To use this online calculator for Initial Frequency of Dirac Comb Angle, enter Input Periodic Frequency (f_inp) & Signal Angle (θ) and hit the calculate button. Here is how the Initial Frequency of Dirac Comb Angle calculation can be explained with given input values -> 50.77219 = (2*pi*5.01)/0.62.

FAQ

What is Initial Frequency of Dirac Comb Angle?

The Initial Frequency of Dirac Comb Angle formula is defined as as a periodic repetition of the Dirac impulse, where the distinct impulses are T apart. or equivalently as a sum of complex exponentials that have frequencies and is represented as f_o = (2*pi*f_inp)/θ or Initial Frequency = (2*pi*Input Periodic Frequency)/Signal Angle. Input Periodic Frequency is the number of complete cycles of a periodic phenomenon that occur in one second & Signal Angle is the direction from which the signal (e.g. radio, optical or acoustic) is received.

How to calculate Initial Frequency of Dirac Comb Angle?

The Initial Frequency of Dirac Comb Angle formula is defined as as a periodic repetition of the Dirac impulse, where the distinct impulses are T apart. or equivalently as a sum of complex exponentials that have frequencies is calculated using Initial Frequency = (2*pi*Input Periodic Frequency)/Signal Angle. To calculate Initial Frequency of Dirac Comb Angle, you need Input Periodic Frequency (f_inp) & Signal Angle (θ). With our tool, you need to enter the respective value for Input Periodic Frequency & Signal Angle 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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