## Unit Impulse Signal – Definition, Waveform and Properties

Updated on 12-Nov-2021 10:43:12
An ideal impulse signal is a signal that is zero everywhere but at the origin (t = 0), it is infinitely high. Although, the area of the impulse is finite. The unit impulse signal is the most widely used standard signal used in the analysis of signals and systems.Continuous-Time Unit Impulse SignalThe continuous-time unit impulse signal is denoted by δ(t) and is defined as −$$\mathrm{\delta (t)=\left\{\begin{matrix} 1\; \; for\: t=0\ 0\; \; for\:teq 0 \ \end{matrix}\right.}$$Hence, by the definition, the unit impulse signal has zero amplitude everywhere except at t = 0. At the origin (t = 0) the amplitude ... Read More

## What is a Unit Ramp Signal?

Updated on 11-Nov-2021 11:27:33

## Signals and Systems: Classification of Systems

Updated on 11-Nov-2021 11:11:16
What is a System?In signals and systems, a system can be defined in a number of ways as −A system is defined as a physical device that can produce an output or response for the given input.A system may also be defined as an entity which works on an input signal and transforms it into an output signal.A system can also be defined as a set of elements which are connected together and generates an output signal corresponding to an input signal.Generally, a system is represented by a block diagram as shown in Figure-1. Here, the arrow entering the box ... Read More

## Signals and Systems: Stable and Unstable System

Updated on 11-Nov-2021 11:06:17
Stable System or BIBO Stable SystemA system is called a BIBO (bounded input bounded output) stable system or simply stable system, if and only if every bounded input produces a bounded output. The output of a stable system does not change unreasonably.The stability of a system indicates the usefulness of the system. The stability of a system can be determined from the impulse response of the system. The impulse response of the system is nothing but the output of the system for a unit impulse input.If the impulse response of the system is absolutely integrable for a continuoustime system or ... Read More

## Types of Signals – Rectangular, Triangular, Signum, Sinc and Gaussian Functions

Updated on 11-Nov-2021 11:00:56
A single valued function of one or more independent variables which contains some information is known as a signal.Basic Types of SignalsThere are several basic signals which play an important role in the study of signals and systems. These basic signals are the basic building blocks for the construction of more complex signals. These elementary signals are also called standard signals.Rectangular SignalA signal that produces a rectangular shaped pulse with a width of τ (where 𝜏 = 1 for the unit rectangular function) centred at 𝑡 = 0 is known as rectangular signal. The rectangular signal pulse also has a ... Read More

## Signals and Systems: Amplitude Scaling of Signals

Updated on 11-Nov-2021 10:56:00
What is Amplitude Scaling?The process of rescaling the amplitude of a signal, i.e., the amplitude of the signal is either amplified or attenuated, is known as amplitude scaling. In the amplitude scaling operation on signals, the shape of the resulting signal remains the as that of the original signal but the amplitude is altered (i.e., increased or decreased).Amplitude Scaling of a Continuous-Time SignalThe amplitude scaling of a continuous time signal x(t) is defined as, 𝑦(𝑡) = 𝐴 𝑥(𝑡)Where, A is a constant. If the value of A is greater than 1 (i.e., A > 1), the signal amplitude scaling is ... Read More

## Signals and Systems: Even and Odd Signals

Updated on 11-Nov-2021 10:51:10
Even SignalA signal which is symmetrical about the vertical axis or time origin is known as even signal or even function. Therefore, the even signals are also called the symmetrical signals. Cosine wave is an example of even signal.Continuous-time Even SignalA continuous-time signal x(t) is called the even signal or symmetrical signal if it satisfies the following condition, 𝑥(𝑡) = 𝑥(−𝑡); for − ∞ < 𝑡 < ∞Some examples of continuous-time even signals are shown in Figure-1.Discrete-time Even SignalA discrete-time signal x(n) is said to be even signal or symmetrical signal if it satisfies the condition, 𝑥(𝑛) = 𝑥(−𝑛); for ... Read More
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