(c) A discrete-time LTI system is characterised by the impulse response h(n) [64 32 16 8 4 2 1] (i) Determine the response of the system to an input signal x(n) [1 1 1 1 1 1 1 1] %3D (ii) What is the dc gain of the system? (iii) Determine the response of the system to an input signal x(n) = [1 0 -1 0 1 0 – 1 0 1 0 – 1 0]

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(c) A discrete-time LTI system is characterised by the impulse response
h(n)
[64 32 16 8 4 2 1]
(i)
Determine the response of the system to an input signal
x(n) = [1 1 1 1 1 1 1 1]
(ii)
What is the dc gain of the system?
(iii) Determine the response of the system to an input signal
x (п)
[1 0 - 1 0 1 0 - 1 0 1 0
- 1 0]
(iv) Based on the result in Q1(c)(iii), or otherwise, plot the output signal
as a function
the sequence number. Estimate roughly the
magnitude of the gain of the system at a normalised frequency of
T/2 radians.
Transcribed Image Text:(c) A discrete-time LTI system is characterised by the impulse response h(n) [64 32 16 8 4 2 1] (i) Determine the response of the system to an input signal x(n) = [1 1 1 1 1 1 1 1] (ii) What is the dc gain of the system? (iii) Determine the response of the system to an input signal x (п) [1 0 - 1 0 1 0 - 1 0 1 0 - 1 0] (iv) Based on the result in Q1(c)(iii), or otherwise, plot the output signal as a function the sequence number. Estimate roughly the magnitude of the gain of the system at a normalised frequency of T/2 radians.
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