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Triangular Window Formula

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Triangular Window is the 2nd-order B-spline window. Check FAQs

W tn = 0.42 - 0.52 \cdot \cos (\frac{2 \cdot π \cdot n}{W ss - 1}) - 0.08 \cdot \cos (\frac{4 \cdot π \cdot n}{W ss - 1})

W_tn - Triangular Window?n - Number of Samples?W_ss - Sample Signal Window?π - Archimedes' constant?

Triangular Window Example

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Here is how the Triangular Window equation looks like with Values.

Here is how the Triangular Window equation looks like with Units.

Here is how the Triangular Window equation looks like.

0.7532 = 0.42 - 0.52 \cdot \cos (\frac{2 \cdot 3.1416 \cdot 2.11}{7 - 1}) - 0.08 \cdot \cos (\frac{4 \cdot 3.1416 \cdot 2.11}{7 - 1})

0.7532 = 0.42 - 0.52 \cdot \cos (\frac{2 \cdot 3.1416 \cdot 2.11}{7 - 1}) - 0.08 \cdot \cos (\frac{4 \cdot 3.1416 \cdot 2.11}{7 - 1})

0.7532 = 0.42 - 0.52 \cdot \cos (\frac{2 \cdot 3.1416 \cdot 2.11}{7 - 1}) - 0.08 \cdot \cos (\frac{4 \cdot 3.1416 \cdot 2.11}{7 - 1})

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Triangular Window Solution

Follow our step by step solution on how to calculate Triangular Window?

FIRST Step Consider the formula

W tn = 0.42 - 0.52 \cdot \cos (\frac{2 \cdot π \cdot n}{W ss - 1}) - 0.08 \cdot \cos (\frac{4 \cdot π \cdot n}{W ss - 1})

Next Step Substitute values of Variables

∴

W tn = 0.42 - 0.52 \cdot \cos (\frac{2 \cdot π \cdot 2.11}{7 - 1}) - 0.08 \cdot \cos (\frac{4 \cdot π \cdot 2.11}{7 - 1})

Next Step Substitute values of Constants

∴

W tn = 0.42 - 0.52 \cdot \cos (\frac{2 \cdot 3.1416 \cdot 2.11}{7 - 1}) - 0.08 \cdot \cos (\frac{4 \cdot 3.1416 \cdot 2.11}{7 - 1})

Next Step Prepare to Evaluate

∴

W tn = 0.42 - 0.52 \cdot \cos (\frac{2 \cdot 3.1416 \cdot 2.11}{7 - 1}) - 0.08 \cdot \cos (\frac{4 \cdot 3.1416 \cdot 2.11}{7 - 1})

Next Step Evaluate

∴

W tn = 0.753159478737678

LAST Step Rounding Answer

∴

W tn = 0.7532

Triangular Window Formula Elements

Variables

Constants

Functions

Triangular Window

Triangular Window is the 2nd-order B-spline window.

Symbol: W_tn

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Triangular 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.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Samples

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.

Symbol: W_ss

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Sample Signal Window

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Discrete Time Signals category

Go Cutoff Angular Frequency

ω co = \frac{M \cdot f ce}{W ss \cdot K}

Go Hanning Window

W hn = \frac{1}{2} - (\frac{1}{2}) \cdot \cos (\frac{2 \cdot π \cdot n}{W ss - 1})

Go Hamming Window

W hm = 0.54 - 0.46 \cdot \cos (\frac{2 \cdot π \cdot n}{W ss - 1})

Go Inverse Transmittance Filtering

K n = {(\sin c (π \cdot \frac{f inp}{f e}))}^{- 1}

How to Evaluate Triangular Window?

Triangular Window evaluator 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 evaluate 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 evaluate Triangular Window using this online evaluator? To use this online evaluator for Triangular Window, enter Number of Samples (n) & Sample Signal Window (W_ss) and hit the calculate button.

FAQs on Triangular Window

What is the formula to find Triangular Window?

The formula of Triangular Window is expressed as 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)). Here is an example- 0.753159 = 0.42-0.52*cos((2*pi*2.11)/(7-1))-0.08*cos((4*pi*2.11)/(7-1)).

How to calculate Triangular Window?

With Number of Samples (n) & Sample Signal Window (W_ss) we can find Triangular Window using the formula - 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)). This formula also uses Archimedes' constant and Cosine (cos) function(s).

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Triangular Window Formula

Triangular Window Example

Triangular Window Solution

Triangular Window Formula Elements

Other formulas in Discrete Time Signals category

How to Evaluate Triangular Window?

FAQs on Triangular Window

Variable Name