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Hamming Window Formula

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Hamming Window is a taper formed by using a raised cosine with non-zero endpoints, optimized to minimize the nearest side lobe. Check FAQs

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

W_hm - Hamming Window?n - Number of Samples?W_ss - Sample Signal Window?π - Archimedes' constant?

Hamming Window Example

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

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

Here is how the Hamming Window equation looks like.

0.8143 = 0.54 - 0.46 \cdot \cos (\frac{2 \cdot 3.1416 \cdot 2.11}{7 - 1})

0.8143 = 0.54 - 0.46 \cdot \cos (\frac{2 \cdot 3.1416 \cdot 2.11}{7 - 1})

0.8143 = 0.54 - 0.46 \cdot \cos (\frac{2 \cdot 3.1416 \cdot 2.11}{7 - 1})

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Hamming Window Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

W hm = 0.54 - 0.46 \cdot \cos (\frac{2 \cdot π \cdot 2.11}{7 - 1})

Next Step Substitute values of Constants

∴

W hm = 0.54 - 0.46 \cdot \cos (\frac{2 \cdot 3.1416 \cdot 2.11}{7 - 1})

Next Step Prepare to Evaluate

∴

W hm = 0.54 - 0.46 \cdot \cos (\frac{2 \cdot 3.1416 \cdot 2.11}{7 - 1})

Next Step Evaluate

∴

W hm = 0.814263442484183

LAST Step Rounding Answer

∴

W hm = 0.8143

Hamming Window Formula Elements

Variables

Constants

Functions

Hamming Window

Hamming Window is a taper formed by using a raised cosine with non-zero endpoints, optimized to minimize the nearest side lobe.

Symbol: W_hm

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Hamming 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 Triangular Window

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})

Go Inverse Transmittance Filtering

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

How to Evaluate Hamming Window?

Hamming Window evaluator uses Hamming Window = 0.54-0.46*cos((2*pi*Number of Samples)/(Sample Signal Window-1)) to evaluate the Hamming Window, The Hamming Window formula is defined as a taper formed by using a raised cosine with non-zero endpoints, optimized to minimize the nearest side lobe. Hamming Window is denoted by W_hm symbol.

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

FAQs on Hamming Window

What is the formula to find Hamming Window?

The formula of Hamming Window is expressed as Hamming Window = 0.54-0.46*cos((2*pi*Number of Samples)/(Sample Signal Window-1)). Here is an example- 0.814263 = 0.54-0.46*cos((2*pi*2.11)/(7-1)).

How to calculate Hamming Window?

With Number of Samples (n) & Sample Signal Window (W_ss) we can find Hamming Window using the formula - Hamming Window = 0.54-0.46*cos((2*pi*Number of Samples)/(Sample Signal Window-1)). This formula also uses Archimedes' constant and Cosine (cos) function(s).

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Hamming Window Formula

Hamming Window Example

Hamming Window Solution

Hamming Window Formula Elements

Other formulas in Discrete Time Signals category

How to Evaluate Hamming Window?

FAQs on Hamming Window

Variable Name