Step impulse response

  • Thread starter cutesteph
  • Start date
  • #1
63
0
y(n) = a * y(n-1) + K * b * x(n-1) + K * x(n), where |a| < 1.

(a) Calculate its impulse response, h(n).
the homogenous equation is l^n-1(l-a) = 0 => 1 = a
so h(n) = [ka^n ] u(n)

(b) Calculate its step response.


I can't seem to find any examples online and my book says nothing about step responses. I am not sure where to start.
 

Answers and Replies

  • #2
rbj
2,226
9
1. learn to use [itex]\LaTeX[/itex] here.
2. looks like homework.
3. except for [itex]x[0][/itex], if all other [itex]x[n][/itex] is zero, what would [itex]y[n][/itex] look like? (that might give you a hint about what [itex]h[n][/itex] might be.)
4. integrate [itex]h[n][/itex] to get the step response.
 

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