Triangular Window Calculator

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Discrete Time Signals

Continuous Time Signals

✖Number of Samples is the total count of individual data points in a discrete signal or dataset. In the context of the Hanning window function and signal processing.ⓘ Number of Samples [n]			+10% -10%
✖Sample Signal Window typically refers to a specific section or range within a signal where sampling or analysis is performed. In various fields like signal processing.ⓘ Sample Signal Window [W_ss]			+10% -10%

✖Triangular Window is the 2nd-order B-spline window.ⓘ Triangular Window [W_tn]

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Formula

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Triangular Window

Formula

`"W"_{"tn"} = 0.42-0.52*cos((2*pi*"n")/("W"_{"ss"}-1))-0.08*cos((4*pi*"n")/("W"_{"ss"}-1))`

Example

`"0.753159"=0.42-0.52*cos((2*pi*"2.11")/("7"-1))-0.08*cos((4*pi*"2.11")/("7"-1))`

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Triangular Window Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
W_tn = 0.42-0.52*cos((2*pi*n)/(W_ss-1))-0.08*cos((4*pi*n)/(W_ss-1))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Triangular Window - Triangular Window is the 2nd-order B-spline window.
Number of Samples - Number of Samples is the total count of individual data points in a discrete signal or dataset. In the context of the Hanning window function and signal processing.
Sample Signal Window - Sample Signal Window typically refers to a specific section or range within a signal where sampling or analysis is performed. In various fields like signal processing.

STEP 1: Convert Input(s) to Base Unit

Number of Samples: 2.11 --> No Conversion Required
Sample Signal Window: 7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_tn = 0.42-0.52*cos((2*pi*n)/(W_ss-1))-0.08*cos((4*pi*n)/(W_ss-1)) --> 0.42-0.52*cos((2*pi*2.11)/(7-1))-0.08*cos((4*pi*2.11)/(7-1))

Evaluating ... ...

W_tn = 0.753159478737678

STEP 3: Convert Result to Output's Unit

0.753159478737678 --> No Conversion Required

FINAL ANSWER

0.753159478737678 ≈ 0.753159 <-- Triangular Window

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electronics » Signal and Systems » Discrete Time Signals » Triangular Window

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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

Triangular Window Formula

What is window size in signal processing?

The window size represents a number of samples, and a duration. It is the main parameter of the analysis. The window size depends on the fundamental frequency, intensity and changes of the signal.

How to Calculate Triangular Window?

Triangular Window calculator uses 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)) to calculate the Triangular Window, The Triangular Window formula is defined as the 2nd-order B-spline window. The L = N form can be seen as the convolution of two N⁄2-width rectangular windows. Triangular Window is denoted by W_tn symbol.

How to calculate Triangular Window using this online calculator? To use this online calculator for Triangular Window, enter Number of Samples (n) & Sample Signal Window (W_ss) and hit the calculate button. Here is how the Triangular Window calculation can be explained with given input values -> 0.753159 = 0.42-0.52*cos((2*pi*2.11)/(7-1))-0.08*cos((4*pi*2.11)/(7-1)).

FAQ

What is Triangular Window?

The Triangular Window formula is defined as the 2nd-order B-spline window. The L = N form can be seen as the convolution of two N⁄2-width rectangular windows and is represented as W_tn = 0.42-0.52*cos((2*pi*n)/(W_ss-1))-0.08*cos((4*pi*n)/(W_ss-1)) or 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)). Number of Samples is the total count of individual data points in a discrete signal or dataset. In the context of the Hanning window function and signal processing & Sample Signal Window typically refers to a specific section or range within a signal where sampling or analysis is performed. In various fields like signal processing.

How to calculate Triangular Window?

The Triangular Window formula is defined as the 2nd-order B-spline window. The L = N form can be seen as the convolution of two N⁄2-width rectangular windows is calculated using 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)). To calculate Triangular Window, you need Number of Samples (n) & Sample Signal Window (W_ss). With our tool, you need to enter the respective value for Number of Samples & Sample Signal Window 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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