What Defines a System in Signals and Systems?

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A system in signals and systems is defined as a process that transforms an input signal into an output signal, represented through mathematical equations or block diagrams. Systems can be categorized as analog or digital, operating in time or frequency domains, and typically consist of components like adders, scalers, and integrators or delays. Inputs can be provided in various forms, including electrical signals or digital codes, and the concept of delayed input refers to signals that are processed after a time lag, impacting the system's output. Understanding these elements is crucial for analyzing system performance and behavior. This foundational knowledge is essential for studying linear system theory in the context of signals and systems.
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how do we represent a system and what does it mean?how do we give inputs to it and meaning of delayed input?
advanced thanks.
 
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amaresh92 said:
how do we represent a system and what does it mean?how do we give inputs to it and meaning of delayed input?
advanced thanks.

What kind of system? Analog, digital, time domain, frequency domain, etc.? Can you show us what you have been reading so far on the subject, and ask some more specific questions please?
 
berkeman said:
What kind of system? Analog, digital, time domain, frequency domain, etc.? Can you show us what you have been reading so far on the subject, and ask some more specific questions please?

its is all about both analog and digital system in time domain.they gives the inputs in terms of phase shift of given signal i.e x(n-1) for digital and d/dt(x(t)).what these input represents and how?
 
amaresh92 said:
how do we represent a system and what does it mean?how do we give inputs to it and meaning of delayed input?
advanced thanks.

berkeman said:
What kind of system? Analog, digital, time domain, frequency domain, etc.? Can you show us what you have been reading so far on the subject, and ask some more specific questions please?

amaresh92 said:
its is all about both analog and digital system in time domain. they gives the inputs in terms of phase shift of given signal i.e x(n-1) for digital and d/dt(x(t)).what these input represents and how?

this is about Linear System Theory (what they now call Signals and Systems). in either continuous-time (often called "analog") or discrete-time (often called "digital") systems, you have three fundamental blocks:

1. adder (or subtracter), sometimes called a "summer". it adds two or more signals together.
2. scaler (sometimes called "gain"). it multiplies a signal by a constant or coefficient.
and
3. some form that can discriminate between signals with respect to frequency.
3a) in analog systems, usually that device is represented as an integrator and has Laplace transform of 1/s
3b) in digital (DSP) systems, that device is represented as a unit delay and has Z transform of 1/z

you assemble these adders, scaler, and integrators or delays using one of several forms. the most common forms are the Direct Form I (DF1) or Direct Form II (DF2), but you'll see other forms. from those forms and from knowledge of the coefficients, you get a transfer function that fully describes the input/output relationship in a linear, time-invariant system.
 


I can provide a response to your question about systems in signals and systems. A system is a concept in engineering and mathematics that represents a process or mechanism that transforms an input signal into an output signal. In other words, a system is a way to model how a signal is modified or processed.

There are various ways to represent a system, but one common way is through a block diagram. This is a graphical representation that shows the input signal, the system, and the output signal. The system itself can be represented as a mathematical equation, a set of rules, or a physical device.

To give inputs to a system, we can use various methods such as sending an electrical signal, providing a digital code, or using a physical input device like a microphone or sensor. The meaning of a delayed input refers to a signal that is delayed in time before it is fed into the system. This can happen due to various reasons such as signal processing delays, communication delays, or physical limitations of the system. The delayed input can affect the output of the system and can be taken into consideration when analyzing the system's performance.

In summary, a system in signals and systems is a way to mathematically or physically represent a process that transforms an input signal into an output signal. Inputs can be given to a system in various forms, and a delayed input refers to a signal that is delayed in time before being processed by the system. I hope this explanation helps. Advanced thanks for your interest in understanding systems in signals and systems.
 
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