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HW2_ece220_2007 - Homework 2(ECE220 Fall 2007 Due Thursday...

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Homework 2 (ECE220 - Fall 2007) Due: Thursday, September 13 at the beginning of lecture. Reasoning and work must be shown to gain full/partial credit. WRITE YOUR NAME AND NET ID ON ALL PAGES HANDED IN! 1. (20 points) We need the concept of a signal to describe measurements from dynamic phenom- ena, which change as a function of an independent variable (temporal, spatial, etc.). This concept is much more powerful if complemented with the concept of systems . Observing signals we often are drawn to see cause and effect relationships. We can control a parameter dynamically (this would be our input signal ) and observe a certain measurement change as a result (this would be our output signal ). Many of us, seeing an apple falling down the tree, feel a compulsory instinct to lay down the foundation of calculus so as to be able to write a theory that explains gravitation. You can imagine that the force of the chemical bond that keeps the branch together is a signal that goes to zero as the branch is torn and the trajectory of the apple is the output. The position of the apple can be derived solving a differential equation; the latter provides an instance of a system. A system is the abstraction (conceptual container) of a mapping transforming input signals in specific output signals.
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