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Convolution of Finite Discrete Signals Tutorial

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Convolution Of Finite Discrete Signals Tutorial 

Assoc. Prof. Rahidzab Talib
Faculty of Electrical Engineering
Department of Computer Engineering
Universiti Teknologi MARA
40450 Shah Alam
Selangor, MALAYSIA
rahidzabtalib@yahoo.com 

 

The convolution summation of two discrete signals is defined as  This interactive online tutorial can be use as part of computer aided teaching in the classroom or as can be use by students as a guided tutorial  for the Signals and System course.  The tutorial displays the concept of finite discrete signal convolution by calculating the convolution sum, plotting the graphical concept of the convolution as well as the formula expansion from the definition.  To use the tutorial, make sure the discrete signals are in the form of and the sequence of steps must follow the blue colored numbers. 

 

R E S E T  

Enter a finite discrete signal x(n) 

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Zeroth position of x(n) 

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Enter another finite discrete signal h(n) 

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Zeroth position of h(n) 

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Evaluate the convolution(5) 

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The zeroth position of `⊗`(x(n), h(n)) 

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Move the slider to show the calculation of the nth terms of the convolution. (6) 

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This plot shows the positions of the two finite discrete signals in the calculation of their convolution based on the definition of discrete convolution.  The solid blue color lines with circular tops are x(m) while h(n-m) are represented by the red dash lines with square tops. 

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This plot shows the result of the convolution of the two finite discrete signals (in magenta) as well as the current calculation of the convolution (in black) as shown by the ploting on the left. 

 

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The display on the right is the expansion of the formula to evaluate the n-th term of the convolution based on the equation `⊗`(x(n), h(n)) = sum(x(m)*h(n-m), m = -infinity .. infinity) 

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