Question 3: This question relates to discrete Fourier transform. a) Consider two discrete-time LTI systems with impulse responses h₁[n] = u[n]u[-n + 2] h₂[n] = 8[n] 8 [n - 3] (i) Draw the impulse responses h₁ [n] and h₂[n]. (ii) Consider now a new discrete-time LTI system as the series connection of h[n] and h₂[n]. Obtain the impulse response h[n] of this new system and draw it. (iii) Obtain the frequency response H(2) of the LTI system defined by the impulse response h[n].

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Question 3: This question relates to discrete Fourier transform.
a) Consider two discrete-time LTI systems with impulse responses
h₁[n] = u[n]u[-n + 2]
h₂[n] = 8[n] 8 [n - 3]
(i) Draw the impulse responses h₁ [n] and h₂[n].
(ii) Consider now a new discrete-time LTI system as the series connection of
h[n] and h₂[n]. Obtain the impulse response h[n] of this new system and
draw it.
(iii) Obtain the frequency response H(2) of the LTI system defined by the
impulse response h[n].
Transcribed Image Text:Question 3: This question relates to discrete Fourier transform. a) Consider two discrete-time LTI systems with impulse responses h₁[n] = u[n]u[-n + 2] h₂[n] = 8[n] 8 [n - 3] (i) Draw the impulse responses h₁ [n] and h₂[n]. (ii) Consider now a new discrete-time LTI system as the series connection of h[n] and h₂[n]. Obtain the impulse response h[n] of this new system and draw it. (iii) Obtain the frequency response H(2) of the LTI system defined by the impulse response h[n].
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