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7. Convolution implementation Write a Matlab function that per- | 7. Convolution implementation Write a Matlab function that per- | ||
forms convolution of two discrete-time input signals. Note that the | forms convolution of two discrete-time input signals. Note that the | ||
| − | theoretical convolution defined in class has signals x[n] defined for | + | theoretical convolution defined in class has signals <math>x[n]</math> defined for |
| − | n | + | <math> n \in ( -\infty , \infty )</math>. Since this is not practically realizable, have your code |
assume that a finite-length input signal is such that it is zero outside of | assume that a finite-length input signal is such that it is zero outside of | ||
| − | the specified range. For example, both signals | + | the specified range. For example, both signals <math>x_1[n]</math> and <math>x_2[n]</math> plotted |
below can be represented by a vector in Matlab as [2, 3, 1]. Compare | below can be represented by a vector in Matlab as [2, 3, 1]. Compare | ||
your code’s functionality against the builtin Matlab function conv (type | your code’s functionality against the builtin Matlab function conv (type | ||
“help conv” on the command line for more information). | “help conv” on the command line for more information). | ||
| − | So, are you saying that our code cannot call the function conv, but can use for loops even though they are slow. Just clarifying-- Adam Frey | + | * So, are you saying that our code cannot call the function conv, but can use for loops even though they are slow. Just clarifying-- Adam Frey |
| − | + | * Yes, your function may use loops, but should not call the conv function. I simply want you to write a function that works identically to conv. If you are feeling ambitious, you can try this without loops, though I would strongly recommend writing it using for-loops first. [[User:Huffmalm|Huffmalm]] | |
Back to [[Homework]] | Back to [[Homework]] | ||
Revision as of 07:50, 30 June 2009
Problem 1
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Problem 7
Adam has posted some Helpful Youtube videos which will be very helpful in working this problem. Nice find! - Landis
7. Convolution implementation Write a Matlab function that per- forms convolution of two discrete-time input signals. Note that the theoretical convolution defined in class has signals $ x[n] $ defined for $ n \in ( -\infty , \infty ) $. Since this is not practically realizable, have your code assume that a finite-length input signal is such that it is zero outside of the specified range. For example, both signals $ x_1[n] $ and $ x_2[n] $ plotted below can be represented by a vector in Matlab as [2, 3, 1]. Compare your code’s functionality against the builtin Matlab function conv (type “help conv” on the command line for more information).
- So, are you saying that our code cannot call the function conv, but can use for loops even though they are slow. Just clarifying-- Adam Frey
- Yes, your function may use loops, but should not call the conv function. I simply want you to write a function that works identically to conv. If you are feeling ambitious, you can try this without loops, though I would strongly recommend writing it using for-loops first. Huffmalm
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