Feedforward Systems

The questions below are due on Monday February 18, 2019; 11:00:00 PM.

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Music for this Problem

1) System 1

Consider the system described by the following difference equation:

y[n] = 3x[n-1] + 6x[n-2]

What will be the output of this system when its input is the unit sample signal?

x[n] = \delta[n] = \begin{cases} 1, & \text{if}~n=0 \\ 0, & \text{otherwise} \end{cases}

Enter the first 5 samples of the output in the boxes below. Enter a single number in each box, and assume the system starts at rest.

y[0]~=~

y[1]~=~

y[2]~=~

y[3]~=~

y[4]~=~

2) System 2

Consider a system that produces the following output when given the unit sample signal as input:

A difference equation is in the form: y[n] = c_0 y[n-1] + c_1 y[n-2] + \ldots + c_{k-1} y[n-k] + d_0 x[n] + d_1 x[n-1] + \ldots + d_j x[n-j]

Specify the dCoeffs: d_0 \ldots d_j and the cCoeffs: c_0 \ldots c_{k-1} as Python lists below. If one set of coefficients is empty, enter the empty list, [].

Difference Equation:
dCoeffs (input):
cCoeffs (output):