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Consider the LTI system described by the difference equation 3 y[n]+N[‘ – 1] = x[n] + 5x[n – 2]. a) Find the impulse response of t

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Consider the LTI system described by the difference equation 3 y[n]+N[‘ – 1] = x[n] + 5x[n – 2]. a) Find the impulse response of this system using the DTFT. b) Explain why this system can be considered as a lowpass filter. c) Prove that the response of a discrete-time LTI system to any arbitrary input x[n] is the convolution sum of x[n] and its impulse response.

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Aaliyah

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