Question

Q 15. Suppose a user wants to draw the signal flow graph for the system shown below.
x[n] = 13y[n] + 13y[n - 1] + 13y[n - 2]
Which of the following basic components will be required for the given purpose?
Ops: A. Adder
B. O All of the mentioned options
C. Unit delay
D. O Constant multiplier

Answer 1

Answer:

D. O Constant multiplier

Explanation:

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Answer 2

Answer:

The correct option is: B. O All of the mentioned options.

Explanation:

An algebraic equation can be represented graphically as a Signal Flow Graph. Signal flow diagrams are often used as visual representations of digital system signal processing routines. In order to describe the algorithm, we use a simple equation relationship.  

So to describe a signal flow graph we need three basic components, that are:

1. Multiplier - An input signal that has been multiplied or weighted will be represented by a circle having a × label. We can easily define the algorithm of the multiplier in the form of the equation which is given by: $y(n) = a.x(n)$

2. Adder - By labeling the addition of two input signals ⊕, we represent the addition of two input signals. The adder can be easily described in the form of an equation which is given by:  $y(n) = a_{1} .x_{1} (n) + a_{2} .x_{2} (n)$

3. Unit Delay - We can easily describe the delay in the form of an equation:  $y(n) = x(n-1)$.

So the general form of the equation can be given by adding a multiplier, an adder, and a unit delay.

So, the general form can be given by: $y(n) = a_{1} .x_{1} (n) + a_{2} .x_{2} (n) + x(n-1)$

So after comparing the given equation that is $x[n] = 13y[n] + 13y[n - 1] + 13y[n - 2]$ with the general form of the signal flow graph equation, we can see that we need all three elements.

Hence the correct option is: B. O All of the mentioned options

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