Module 2.3 – Fundamentals (Convolution)

content

  • LTI systems
  • convolution
  • filter examples

1. A Moving Average Filter of length N is applied two times (in series) to an audio signal. The impulse response of an FIR filter resulting in the same output when only applied once has the following shape:

 
 
 
 

2. Two pairs of signals are convolved. Are the two results identical or not?

 
 

3. For the system described by the following equation, select all properties that apply.
y(t) = 3x(t)cos(t)

 
 

4. For the system described by the following equation, select all properties that apply.
y(n) = x^2(n) + x(n)

 
 

5. For the system described by the following equation, select all properties that apply.
y(t) = 5x(t)

 
 

6. Select the signals for which it is possible to get a non-trivial Fourier Series representation (all signals are infinite in time).

 
 
 
 

7. Mark the true statements.

 
 

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