ind out the transfer function

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Find out the transfer function

The image illustrates a signal processing block diagram, commonly used in digital signal processing (DSP) applications. Here’s a detailed description:

1. **Input Signal (x[n])**: This is the discrete-time input signal entering the system.
   
2. **Summation Point (Σ)**: The block indicates a summation operation. It takes the current input signal, \( x[n] \), adds it to the feedback signal, and feeds the result forward. The summation is depicted with a plus sign at the top and a minus sign at the bottom, indicating the subtraction from y[n].

3. **Feedback Loop**: A portion of the output signal, \( y[n] \), is fed back into the summation point after passing through a delay unit. This feedback is represented by a line looping from the output back to the summation point.

4. **Unit Delay**: This block represents a delay of one sample period. It delays the input signal's transition by one discrete time unit, transforming present values into past values.

5. **Output Signal (y[n])**: After processing through the unit delay and feedback loop, the resultant output signal comes out as \( y[n] \).

This block diagram represents a basic recursive or feedback system, which can be used in filters or other DSP applications to modify signals based on previous outputs. The presence of the feedback loop characterizes it as an Infinite Impulse Response (IIR) system.
Transcribed Image Text:The image illustrates a signal processing block diagram, commonly used in digital signal processing (DSP) applications. Here’s a detailed description: 1. **Input Signal (x[n])**: This is the discrete-time input signal entering the system. 2. **Summation Point (Σ)**: The block indicates a summation operation. It takes the current input signal, \( x[n] \), adds it to the feedback signal, and feeds the result forward. The summation is depicted with a plus sign at the top and a minus sign at the bottom, indicating the subtraction from y[n]. 3. **Feedback Loop**: A portion of the output signal, \( y[n] \), is fed back into the summation point after passing through a delay unit. This feedback is represented by a line looping from the output back to the summation point. 4. **Unit Delay**: This block represents a delay of one sample period. It delays the input signal's transition by one discrete time unit, transforming present values into past values. 5. **Output Signal (y[n])**: After processing through the unit delay and feedback loop, the resultant output signal comes out as \( y[n] \). This block diagram represents a basic recursive or feedback system, which can be used in filters or other DSP applications to modify signals based on previous outputs. The presence of the feedback loop characterizes it as an Infinite Impulse Response (IIR) system.
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