Signals & Systems - what's the output?

In summary, a signal in Signals & Systems is a function that represents a physical quantity and can have different properties such as amplitude, frequency, and phase. A system is a mathematical representation of a physical process that takes an input signal and produces an output signal and can have different characteristics such as stability, causality, and memory. The output of a system is determined by applying the input signal and using mathematical operations or transformations. Factors such as the input signal properties, system characteristics, and external influences can affect the output of a system. The output of a system is analyzed and evaluated using techniques like time-domain analysis, frequency-domain analysis, and stability analysis to understand its behavior and meet specific requirements.
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Angello90
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Homework Statement


Input and system response is as follow:

[tex]x[n] = r[n] - 2r[n - 1] + r[n - 2][/tex]
[tex]h[n] = \delta[n - 2][/tex]

The output is:
[tex]y[n] = u[n - 3][/tex]

Is that true?


Homework Equations





The Attempt at a Solution


I draw the h[n] and x[n] and they looked as follows:
attachment.php?attachmentid=30426&stc=1&d=1291631179.jpg


As for me when these two are multiplied, it will become [tex]y[n]=0[/tex].
Am I right?

Thanks
 

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Can anyone give me a tip maybe? Thanks!
 

FAQ: Signals & Systems - what's the output?

What is a signal in Signals & Systems?

A signal is a function that represents a physical quantity, such as voltage or current, that varies with time or space. It can be continuous or discrete and can have different properties such as amplitude, frequency, and phase.

What is a system in Signals & Systems?

A system is a mathematical representation of a physical process that takes an input signal and produces an output signal. It can be linear or nonlinear, time-invariant or time-varying, and can have different characteristics such as stability, causality, and memory.

How is the output of a system determined?

The output of a system is determined by applying the input signal to the system and using mathematical operations or transformations to produce the output signal. This can be done using techniques such as convolution, Fourier transforms, and Laplace transforms.

What factors can affect the output of a system?

The output of a system can be affected by various factors such as the properties of the input signal, the characteristics of the system, and the initial conditions. External influences, such as noise and disturbances, can also affect the output of a system.

How is the output of a system analyzed and evaluated?

The output of a system is analyzed and evaluated using various techniques such as time-domain analysis, frequency-domain analysis, and stability analysis. These techniques help to understand the behavior of the system and its ability to meet certain specifications and requirements.

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