User:Harishmukundan

About Me

Harish Mukundan. Originally from Thrissur, Kerala, India. Currently resides at Cambridge, Massachusetts, United States. Active since November, 2005.

Articles Created

• St. Thomas College, Thrissur
• Ocean Engineering & Ocean Science
• List of commercial airlines in India
• Deshpande Center for Technological Innovation
• Vortex Induced Vibration

Articles Significantly Modified

• Thrissur
• IIT Madras
• Arts and entertainment in India
• Sand festival

See Also

• Personal Website

My Personal Stuff

Example

The following definition is a moving (or "sliding") average of input data $s(x)\,$. A constant factor of 1/2 is omitted for simplicity:

$f(x)=\int _{x-1}^{x+1-\mu }s(\tau )\,d\tau \ =\int _{-1}^{+1}s(x+\tau )\,d\tau \,$

$f_{s}\approx {\frac {U}{D}},$

where x could represent a spatial coordinate, as in image processing. But if $x\,$ represents time $(t)\,$, then a moving average defined that way is non-causal (also called non-realizable), because $f(t)\,$ depends on future inputs, such as $s(t+1)\,$. A realizable output is

$f(t-1)=\int _{-2}^{0}s(t+\tau )\,d\tau =\int _{0}^{+2}s(t-\tau )\,d\tau \,$

which is a delayed version of the non-realizable output.