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The input sequence, x[n] to a finite impulse response system and its corresponding output sequence, discrete-time y[n], are: x[]=2,3,3,0,0,... []=2,7,15,19,15,6,0,0... Propose TWO methods to

The input sequence, x[n] to a finite impulse response system and its corresponding output sequence,

The input sequence, x[n] to a finite impulse response system and its corresponding output sequence, discrete-time y[n], are: x[]=2,3,3,0,0,... []=2,7,15,19,15,6,0,0... Propose TWO methods to determine the impulse response, h[n] of the system. Using the proposed methods, calculate the h[n] while showing the workings clearly.

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