Initial Frequency of Dirac Comb Angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Initial Frequency = (2*pi*Input Periodic Frequency)/Signal Angle
fo = (2*pi*finp)/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
fo = (2*pi*finp)/θ --> (2*pi*5.01)/0.62
Evaluating ... ...
fo = 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)

Credits

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Created by Rahul Gupta
Chandigarh University (CU), Mohali, Punjab
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Verified by Ritwik Tripathi
Vellore Institute of Technology (VIT Vellore), Vellore
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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))

Initial Frequency of Dirac Comb Angle Formula

​LaTeX ​Go
Initial Frequency = (2*pi*Input Periodic Frequency)/Signal Angle
fo = (2*pi*finp)/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 fo 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 (finp) & 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 fo = (2*pi*finp)/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 (finp) & 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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