Question

7x32xCn-\\ x[n]\\ 7\\ -2\\ 3\\ -3\\ UNIT\\ DELAY\\ UNIT\\ DELAY\\ UNIT\\ DELAY\\ y[n]\\ A) Write a simple formula for the difference equation defined by the signal flow\\ graph.\\ B) For the following difference equation, draw a representation of this filter in a\\ signal flow graph structure.\\ y[n] = 2x[n] + 4x[n-1]-3x[n-2]+3x[n-3]-4x[n-4]-2x[n\\ -5]\\ C) Explain the difference between a general block-diagram structure and a\\ transposed form block diagram structure.\\ Q5) Suppose that S is a linear, time-invariant system whose exact form is\\ unknown. It needs to be tested by running some inputs into the system, and then\\ observing the output signals. Suppose that the following input/output pair is the\\ result of such a test:\\ x[n] = 7 cos (\frac{\pi n}{4} - \frac{\pi}{3}) \rightarrow y[n] = \sqrt{3}cos(\frac{\pi n}{4})\\ Use linearity and time-invariance to find the output when the input x[n] is\\ \\ x[n] = 4cos(\frac{\pi (n - 9)}{4})\\ 10:41 AM

          7x32xCn-\\
x[n]\\
7\\
-2\\
3\\
-3\\
UNIT\\
DELAY\\
UNIT\\
DELAY\\
UNIT\\
DELAY\\
y[n]\\
A) Write a simple formula for the difference equation defined by the signal flow\\
graph.\\
B) For the following difference equation, draw a representation of this filter in a\\
signal flow graph structure.\\
y[n] = 2x[n] + 4x[n-1]-3x[n-2]+3x[n-3]-4x[n-4]-2x[n\\
-5]\\
C) Explain the difference between a general block-diagram structure and a\\
transposed form block diagram structure.\\
Q5) Suppose that S is a linear, time-invariant system whose exact form is\\
unknown. It needs to be tested by running some inputs into the system, and then\\
observing the output signals. Suppose that the following input/output pair is the\\
result of such a test:\\
x[n] = 7 cos (\frac{\pi n}{4} - \frac{\pi}{3}) \rightarrow y[n] = \sqrt{3}cos(\frac{\pi n}{4})\\
Use linearity and time-invariance to find the output when the input x[n] is\\
\\
x[n] = 4cos(\frac{\pi (n - 9)}{4})\\
10:41 AM

7x32xCn-

x[n]

7

-2

3

-3

UNIT

DELAY

UNIT

DELAY

UNIT

DELAY

y[n]

A) Write a simple formula for the difference equation defined by the signal flow

graph.

B) For the following difference equation, draw a representation of this filter in a

signal flow graph structure.

y[n] = 2x[n] + 4x[n-1]-3x[n-2]+3x[n-3]-4x[n-4]-2x[n

-5]

C) Explain the difference between a general block-diagram structure and a

transposed form block diagram structure.

Q5) Suppose that S is a linear, time-invariant system whose exact form is

unknown. It needs to be tested by running some inputs into the system, and then

observing the output signals. Suppose that the following input/output pair is the

result of such a test:

x[n] = 7 cos ((πn)/(4) - (π)/(3)) →y[n] = √(3)cos((πn)/(4))

Use linearity and time-invariance to find the output when the input x[n] is

x[n] = 4cos((π(n - 9))/(4))

10:41 AM

Added by Lawrence Z.

Question

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