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Frequency 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%
✖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 [f_o]			+10% -10%

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

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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*f_inp*1/f_o
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*f_inp*1/f_o --> 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 00.020 seconds)

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Created by Rahul Gupta

Chandigarh University (CU), Mohali, Punjab

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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))

Frequency Dirac Comb Angle Formula

LaTeX Go

Signal Angle = 2*pi*Input Periodic Frequency*1/Initial Frequency
θ = 2*pi*f_inp*1/f_o

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 (f_inp) & Initial Frequency (f_o) 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*f_inp*1/f_o 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 (f_inp) & Initial Frequency (f_o). 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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