2. [24 points] Consider an LTI system described the following input-output relationship y[n] = 3x[n] + 2x[n − 1] − 4x[n

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2 24 Points Consider An Lti System Described The Following Input Output Relationship Y N 3x N 2x N 1 4x N 1 (61.97 KiB) Viewed 28 times

2. [24 points] Consider an LTI system described the following input-output relationship y[n] = 3x[n] + 2x[n − 1] − 4x[n - 2]. a. [4 pts] Find the impulse response h[n]. b. [6 pts] Determine whether this system is causal, memoryless, and stable. Justify your answers. c. [8 pts] Determine the response of the system, y[n], when the input x[n] : 28[n] [n 2] using convolution. d. [6 pts] Consider the interconnection of the LTI systems given below where h[n] is the impulse response found in part (a). h₁ [n] = -8[n] + 8[n 1] and h₂ [n] = 8[n-3]. Find the impulse response of the total system. h₁[n] h[n] h₂[n]