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Part 1. Continuous-Time Signals The convolution of two signals is defined by f?(t) * f?(t) = \int_{-?}^{?} f?(?)f?(t - ?)d? -? < t < ? Consider the continuous-time signals f?(t) = p?(t); p?(t) = A?(t); f?(t) = [u(t) - u(t - 5)] Write a MATLAB program to perform and verify the continuous-time convolution commutativity and associativity properties: f?(t) * f?(t) = f?(t) * f?(t) f?(t) * (f?(t) + f?(t)) = f?(t) * f?(t) + f?(t) * f?(t) While writing the program you must discretize the convolution integral given above; that integral must be approximated by a finite sum of the form: f?[kT] * f?[kT] ? T \sum_{i=k?}^{k} f?[i T]f?[(k - i)T] Take T = 0.1, plot the results obtained, and comment on the durations of the signals obtained through the convolution procedure. Observe that the commutativity and distributivity properties hold for the approximate continuous time convolution and conclude that when T ? 0 these properties also hold for the convolution integral

          Part 1. Continuous-Time Signals
The convolution of two signals is defined by
f?(t) * f?(t) = \int_{-?}^{?} f?(?)f?(t - ?)d?  -? < t < ?
Consider the continuous-time signals
f?(t) = p?(t); p?(t) = A?(t); f?(t) = [u(t) - u(t - 5)]
Write a MATLAB program to perform and verify the continuous-time convolution commutativity and associativity
properties:
f?(t) * f?(t) = f?(t) * f?(t)
f?(t) * (f?(t) + f?(t)) = f?(t) * f?(t) + f?(t) * f?(t)
While writing the program you must discretize the convolution integral given above; that integral must be
approximated by a finite sum of the form:
f?[kT] * f?[kT] ? T \sum_{i=k?}^{k} f?[i T]f?[(k - i)T]
Take T = 0.1, plot the results obtained, and comment on the durations of the signals obtained through the
convolution procedure. Observe that the commutativity and distributivity properties hold for the approximate
continuous time convolution and conclude that when T ? 0 these properties also hold for the convolution integral

Part 1. Continuous-Time Signals
The convolution of two signals is defined by
f?(t) * f?(t) = ∫-?^? f?(?)f?(t - ?)d? -? < t < ?
Consider the continuous-time signals
f?(t) = p?(t); p?(t) = A?(t); f?(t) = [u(t) - u(t - 5)]
Write a MATLAB program to perform and verify the continuous-time convolution commutativity and associativity
properties:
f?(t) * f?(t) = f?(t) * f?(t)
f?(t) * (f?(t) + f?(t)) = f?(t) * f?(t) + f?(t) * f?(t)
While writing the program you must discretize the convolution integral given above; that integral must be
approximated by a finite sum of the form:
f?[kT] * f?[kT] ? T ∑i=k?^k f?[i T]f?[(k - i)T]
Take T = 0.1, plot the results obtained, and comment on the durations of the signals obtained through the
convolution procedure. Observe that the commutativity and distributivity properties hold for the approximate
continuous time convolution and conclude that when T ? 0 these properties also hold for the convolution integral

Added by Ivan T.

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