Frequency Dirac Comb Angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Signal Angle = 2*pi*Input Periodic Frequency*1/Initial Frequency
θ = 2*pi*finp*1/fo
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Signal Angle - (Measured in Radian) - Signal Angle is the direction from which the signal (e.g. radio, optical or acoustic) is received.
Input Periodic Frequency - (Measured in Hertz) - Input Periodic Frequency is the number of complete cycles of a periodic phenomenon that occur in one second.
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.
STEP 1: Convert Input(s) to Base Unit
Input Periodic Frequency: 5.01 Hertz --> 5.01 Hertz No Conversion Required
Initial Frequency: 50 Hertz --> 50 Hertz No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
θ = 2*pi*finp*1/fo --> 2*pi*5.01*1/50
Evaluating ... ...
θ = 0.629575167779394
STEP 3: Convert Result to Output's Unit
0.629575167779394 Radian --> No Conversion Required
FINAL ANSWER
0.629575167779394 0.629575 Radian <-- Signal Angle
(Calculation completed in 00.004 seconds)

Credits

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Created by Rahul Gupta
Chandigarh University (CU), Mohali, Punjab
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Chandigarh University (CU), 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

Frequency Dirac Comb Angle Formula

Signal Angle = 2*pi*Input Periodic Frequency*1/Initial Frequency
θ = 2*pi*finp*1/fo

What is a comb function in sampling?

A comb function is an infinite series of equidistant Dirac impulses, where adjacent impulses are a distant of w apart.

How to Calculate Frequency Dirac Comb Angle?

Frequency Dirac Comb Angle calculator uses Signal Angle = 2*pi*Input Periodic Frequency*1/Initial Frequency to calculate the Signal Angle, The Frequency Dirac Comb Angle formula is defined 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. Signal Angle is denoted by θ symbol.

How to calculate Frequency Dirac Comb Angle using this online calculator? To use this online calculator for Frequency Dirac Comb Angle, enter Input Periodic Frequency (finp) & Initial Frequency (fo) and hit the calculate button. Here is how the Frequency Dirac Comb Angle calculation can be explained with given input values -> 0.629575 = 2*pi*5.01*1/50.

FAQ

What is Frequency Dirac Comb Angle?
The Frequency Dirac Comb Angle formula is defined 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 θ = 2*pi*finp*1/fo or Signal Angle = 2*pi*Input Periodic Frequency*1/Initial Frequency. Input Periodic Frequency is the number of complete cycles of a periodic phenomenon that occur in one second & 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.
How to calculate Frequency Dirac Comb Angle?
The Frequency Dirac Comb Angle formula is defined 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 Signal Angle = 2*pi*Input Periodic Frequency*1/Initial Frequency. To calculate Frequency Dirac Comb Angle, you need Input Periodic Frequency (finp) & Initial Frequency (fo). With our tool, you need to enter the respective value for Input Periodic Frequency & Initial 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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