Hamming Window Solution

STEP 0: Pre-Calculation Summary
Formula Used
Hamming Window = 0.54-0.46*cos((2*pi*Number of Samples)/(Sample Signal Window-1))
Whm = 0.54-0.46*cos((2*pi*n)/(Wss-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
Hamming Window - Hamming Window is a taper formed by using a raised cosine with non-zero endpoints, optimized to minimize the nearest side lobe.
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
Whm = 0.54-0.46*cos((2*pi*n)/(Wss-1)) --> 0.54-0.46*cos((2*pi*2.11)/(7-1))
Evaluating ... ...
Whm = 0.814263442484183
STEP 3: Convert Result to Output's Unit
0.814263442484183 --> No Conversion Required
FINAL ANSWER
0.814263442484183 0.814263 <-- Hamming Window
(Calculation completed in 00.004 seconds)

Credits

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Created by Rahul Gupta
Chandigarh University (CU), Mohali, Punjab
Rahul Gupta has created this Calculator and 25+ more calculators!
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Verified by Ritwik Tripathi
Vellore Institute of Technology (VIT Vellore), Vellore
Ritwik Tripathi has verified this Calculator and 100+ more calculators!

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))

Hamming Window Formula

​LaTeX ​Go
Hamming Window = 0.54-0.46*cos((2*pi*Number of Samples)/(Sample Signal Window-1))
Whm = 0.54-0.46*cos((2*pi*n)/(Wss-1))

Why is Hamming window better?

The Hamming window is preferred by many due to its relatively narrow main lobe width and good attenuation of the first few side lobes.

How to Calculate Hamming Window?

Hamming Window calculator uses Hamming Window = 0.54-0.46*cos((2*pi*Number of Samples)/(Sample Signal Window-1)) to calculate 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 Whm symbol.

How to calculate Hamming Window using this online calculator? To use this online calculator for Hamming Window, enter Number of Samples (n) & Sample Signal Window (Wss) and hit the calculate button. Here is how the Hamming Window calculation can be explained with given input values -> 0.814263 = 0.54-0.46*cos((2*pi*2.11)/(7-1)).

FAQ

What is 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 and is represented as Whm = 0.54-0.46*cos((2*pi*n)/(Wss-1)) or Hamming Window = 0.54-0.46*cos((2*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 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 is calculated using Hamming Window = 0.54-0.46*cos((2*pi*Number of Samples)/(Sample Signal Window-1)). To calculate Hamming Window, you need Number of Samples (n) & Sample Signal Window (Wss). 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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