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Discrete time signals are sequences of values or samples that are defined at distinct intervals. Examples include digital audio signals, where sound is sampled at regular time intervals, and digital images, which consist of pixel values sampled at specific grid points. Other examples include time-series data like stock prices recorded at hourly intervals or temperature readings taken daily. Each of these signals is represented as a series of discrete points rather than a continuous waveform.
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What is Discrete control system?
A discrete control system is a type of control system that operates on discrete-time signals, meaning it processes data at distinct intervals rather than continuously. In such systems, the input and output signals are sampled at specific time points, allowing for analysis and control using digital methods. Discrete control systems are commonly used in digital computers and embedded systems, where algorithms can be implemented to manage and optimize system performance effectively. Examples include digital PID controllers and various automation systems in industrial applications.
What is the difference between Discrete-time Fourier transform and Discrete Fourier transform?
The Discrete Fourier Transform (DFT) is a specific mathematical algorithm used to compute the frequency spectrum of a finite sequence of discrete samples. In contrast, the Discrete-time Fourier Transform (DTFT) represents a continuous function of frequency for a discrete-time signal, allowing for the analysis of signals in the frequency domain over an infinite range. Essentially, the DFT is a sampled version of the DTFT, applied to a finite number of samples, whereas the DTFT provides a broader, continuous frequency representation of the signal.
Linear discrete time signal?
The linear discrete time interval is used in the interpretation of continuous time and discrete valued: Quantized signal.
What is the difference between discrete fourier transform and fast fourier transform?
discrete fourier transformer uses digital signals whereas the fast fourier transform uses both analog and digital.
What is discrete data control system?
A discrete data control system is a type of control system that processes distinct, separate values or signals, rather than continuous data. It typically involves the use of digital signals to represent information at specific intervals, allowing for precise control and decision-making. Such systems are commonly used in applications like automation, robotics, and digital signal processing, where actions are triggered based on specific discrete inputs. Examples include digital controllers that manage processes like on/off switches and feedback loops in various engineering fields.
What is Discrete control system?
A discrete control system is a type of control system that operates on discrete-time signals, meaning it processes data at distinct intervals rather than continuously. In such systems, the input and output signals are sampled at specific time points, allowing for analysis and control using digital methods. Discrete control systems are commonly used in digital computers and embedded systems, where algorithms can be implemented to manage and optimize system performance effectively. Examples include digital PID controllers and various automation systems in industrial applications.
Can discrete signals have fractional periods?
No, discrete signals cannot have fractional periods. In signal processing, a period is defined as the smallest positive integer ( N ) such that ( x[n+N] = x[n] ) for all integer values of ( n ). Since the signal is discrete, it can only repeat at integer multiples of the period. Fractional periods would imply a non-integer number of samples between repetitions, which is not possible in discrete signals.
Why there is need to study discrete time signals?
Studying discrete time signals is essential because they are fundamental to digital signal processing, which is widely used in modern technology, including telecommunications, audio and video processing, and data compression. Discrete signals allow for easier manipulation, storage, and transmission using digital systems, making them more efficient and reliable. Additionally, analyzing these signals aids in understanding sampling theory, filtering, and system stability, which are crucial for designing effective digital systems.
What is the difference between a continuous signal and a discrete signal?
A continuous signal is one that is measured over a time axis and has a value defined at every instance. The real world is continuous (ie. analog). A discrete signal is one that is defined at integers, and thus is undefined in between samples (digital is an example of a discrete signal, but discrete does not have to imply digital). Instead of a time axis, a discrete signal is gathered over a sampling axis. Discrete signals are usually denoted by x[k] or x[n], a continuous signal is x(t) for example. Laplace transforms are used for continuous analysis, Z-transforms are used for discrete analysis. Fourier transforms can be used for either.
Discrete time sinusoidal signals in matlab?
In MATLAB, discrete-time sinusoidal signals can be generated using the sin function along with a time vector. For example, you can create a time vector t using 0:Ts:duration, where Ts is the sampling period and duration is the total time. The sinusoidal signal can be defined as x = A * sin(2 * pi * f * t + phi), where A is the amplitude, f is the frequency, and phi is the phase shift. You can then plot the signal using the plot function to visualize the discrete-time sinusoidal waveform.
The binomial and Poisson distributions are examples of discrete probability distributions?
discrete & continuous
Difference between z transform and laplace transform?
The Laplace transform is used for analyzing continuous-time signals and systems, while the Z-transform is used for discrete-time signals and systems. The Laplace transform utilizes the complex s-plane, whereas the Z-transform operates in the complex z-plane. Essentially, the Laplace transform is suited for continuous signals and systems, while the Z-transform is more appropriate for discrete signals and systems.
What are the basic signals in signal and system?
analog (continuous) and discrete (discontinuous)
Whats the difference between analog and digital signal?
Analog signals are continuous while digital signals are discrete
Why FDM is for analog signals and TDM is for digital signals?
FDM stnds for frequency division multiplexing and it is used only in case of analog signals because analog signals are continuous in nature and the signal have frequency. TDM-stands for time division multiplexing and it is used only in case of digital signals because digital signals are discrete in nature and are in the form of 0 and 1s. and are time dependent.
What are two forms of electrical signals?
Two forms of electrical signals are analog signals, which vary continuously over time, and digital signals, which represent data as discrete values. Analog signals can take on any value within a range, while digital signals have specific voltage levels to represent binary data.
What is the difference between Discrete-time Fourier transform and Discrete Fourier transform?
The Discrete Fourier Transform (DFT) is a specific mathematical algorithm used to compute the frequency spectrum of a finite sequence of discrete samples. In contrast, the Discrete-time Fourier Transform (DTFT) represents a continuous function of frequency for a discrete-time signal, allowing for the analysis of signals in the frequency domain over an infinite range. Essentially, the DFT is a sampled version of the DTFT, applied to a finite number of samples, whereas the DTFT provides a broader, continuous frequency representation of the signal.
