To find out if a wave or signal has a Half Wave Symmetry or not, we first need to look at a single time period of that particular wave or signal. Let us assume that a signal has a time period of “L”. Copy the link given below and paste it in new browser window to get more information on Half Wave Symmetry:- http://www.transtutors.com/homework-help/networks-systems/fourier-series/half-wave-symmetry.aspx

1. HALF WAVE SYMMETRY

2. DEFINITION OF HALF WAVE SYMMETRY
 As the name implies, half wave symmetry means two halves of a
wave should exactly look opposite to each other when divided
 This property of a wave is exactly observed only in periodic
waves which maintain a certain time period between two
consecutive nodes of a wave
Half wave symmetry can be of either even or odd depending
upon the geometry of two half waves of a periodic wave

3. VARIANTS IN HALF WAVE SYMMETRY
Even half wave symmetry is that if one half of the wave looks as a
mirror image of another half
Odd half wave symmetry is that if one half lies in one of the four
quadrants of a graph. The other would be in the opposite
quadrant of the first half

4. HALF WAVE VS QUARTER WAVE SYMMETRY

5. DIFFERENCE BETWEEN QUARTER WAVE AND
HALF WAVE SYMMETRY
 As discussed earlier, we have an idea of what a half wave
symmetry is
 A quarter wave symmetry is a combination of a half wave
symmetry with an even or odd symmetry and is shown in the
diagram above.

6. SUMMARY
• What is Half wave symmetry?
• Types of half wave symmetry.
• Diagrammatic representation of a half wave symmetry
• Difference between Quarter wave symmetry
and half wave symmetry.

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