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Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Question
Decompose into time-shifted weighted sum of step signals

Transcribed Image Text:The image depicts a step function graph. This type of graph represents a function that increases in discrete steps rather than following a continuous curve.
### Description of the Graph:
- **Axes**:
- The horizontal axis (x-axis) is labeled with numbers from 1 to 5.
- The vertical axis (y-axis) is labeled with numbers from 1 to 4.
- **Graph Characteristics**:
- The graph starts at the point (1,0) and remains constant up to (1,1).
- From (1,1), the function increases vertically to (2,1).
- It continues horizontally from (2,1) to (2,2), then makes another vertical step to (3,2).
- The pattern repeats, with the next step from (3,2) to (3,3), and then (4,3).
- Finally, it steps from (4,3) to (4,4) and continues horizontally till (5,4).
### Explanation:
This step graph is a visual representation of a function with specific intervals where the output value remains constant until it jumps, or "steps," to a higher value. This kind of function is useful in real-world scenarios where changes occur at set intervals or stages, such as pricing tiers or tax brackets.
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