imput output Using the following subsystem S 2. consider the following global system S -1- -2 What are the zeros of this global system ? no zeros single zero 2 zeros -1 and 2 zeros -1 and zeros 1 and -2 1 zeros 1 and – O zeros -1 and -2 O zeros - 1 and O None of the above O O

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### Using the Subsystem in Signal Processing

#### Subsystem Diagram
The subsystem \( S \) is depicted in a dashed box with an input and output. Inside, there is a summation point (denoted by a circle with a plus sign) feeding into a delay block \( D \), followed by a multiplier by 2.

#### Global System Description
Consider the global system described by the equation: 
\[ x[n] \rightarrow S \rightarrow \text{output branches} \rightarrow y[n] \]

- **Path 1:** Input \( x[n] \) enters the first subsystem \( S \). Its output is multiplied by \(-1\).
- **Path 2:** Simultaneously, input \( x[n] \) also passes into a second parallel subsystem \( S \). Its output here is multiplied by \(-2\).
  
These two paths are summed together, leading to the global system's output \( y[n] \).

#### Question
**What are the zeros of this global system?**

Options:
- \( \text{o} \) no zeros
- \( \text{o} \) single zero 2
- \( \text{o} \) zeros \(-1\) and \(2\)
- \( \text{o} \) zeros \(-1\) and \(\frac{1}{2}\)
- \( \text{o} \) zeros \(1\) and \(-2\)
- \( \text{o} \) zeros \(1\) and \(\frac{1}{2}\)
- \( \text{o} \) zeros \(-1\) and \(-2\)
- \( \text{o} \) zeros \(-1\) and \(\frac{1}{2}\)
- \( \text{o} \) None of the above

#### Explanation
This question involves analyzing the zeros of a global system created by combining subsystems with specific modifications (scaling and summing paths). The correct selection requires knowledge of zero analysis in system functions.

#### Note
Understanding the subsystem and zero calculation is crucial for signal processing tasks such as system design and analysis.
Transcribed Image Text:### Using the Subsystem in Signal Processing #### Subsystem Diagram The subsystem \( S \) is depicted in a dashed box with an input and output. Inside, there is a summation point (denoted by a circle with a plus sign) feeding into a delay block \( D \), followed by a multiplier by 2. #### Global System Description Consider the global system described by the equation: \[ x[n] \rightarrow S \rightarrow \text{output branches} \rightarrow y[n] \] - **Path 1:** Input \( x[n] \) enters the first subsystem \( S \). Its output is multiplied by \(-1\). - **Path 2:** Simultaneously, input \( x[n] \) also passes into a second parallel subsystem \( S \). Its output here is multiplied by \(-2\). These two paths are summed together, leading to the global system's output \( y[n] \). #### Question **What are the zeros of this global system?** Options: - \( \text{o} \) no zeros - \( \text{o} \) single zero 2 - \( \text{o} \) zeros \(-1\) and \(2\) - \( \text{o} \) zeros \(-1\) and \(\frac{1}{2}\) - \( \text{o} \) zeros \(1\) and \(-2\) - \( \text{o} \) zeros \(1\) and \(\frac{1}{2}\) - \( \text{o} \) zeros \(-1\) and \(-2\) - \( \text{o} \) zeros \(-1\) and \(\frac{1}{2}\) - \( \text{o} \) None of the above #### Explanation This question involves analyzing the zeros of a global system created by combining subsystems with specific modifications (scaling and summing paths). The correct selection requires knowledge of zero analysis in system functions. #### Note Understanding the subsystem and zero calculation is crucial for signal processing tasks such as system design and analysis.
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