Note:\u00a0<\/strong><\/p>\n In this course of \u201csignals and systems\u201d, we shall focus on signals having only one variable and will consider \u2018time\u2019 as independent variable.<\/p>\n These signals serve as basic building blocks for construction of somewhat more complex signals. The list of elementary signals mainly contains singularity functions and exponential functions. A continuous-time unit impulse function \u03b4(t), also called as Dirac delta function is defined as<\/p>\n The above definition of an impulse function is more generalised and can be represented as limiting process without any regard to shape of a pulse. For example, one may define impulse function as a limiting case of rectangular pulse, triangular pulse Gaussian pulse, exponential pulse and sampling pulse as shown below:<\/p>\n Signals are classified based upon independent variable and function value.<\/p>\n \u2022 Continuous-time and discrete-time signals The terms continuous-time and discrete-time are used to represent the nature of signal with respect to time. A signal, as stated earlier is defined as mapping from one set (domain) to another (range). In certain cases, if the independent variable(t) is continuous i.e. the elements of domain set have continuity associated with them, such signals are termed as continuous time signals.<\/p>\n In general, the signals that are defined for every instant of time are known as continuous time signals. e.g. force pattern and speech signal speech signal etc.<\/p>\n On the other hand, certain signals are defined for discrete instant of independent variable[n] are known as discrete-time signals.<\/p>\n e.g. population count of a country and marks of students in a class marks of students in a class etc. The terms analog and digital digital are used to represent the nature of amplitude (signal value). If the amplitude of a signal takes all possible real values in the continuous range, the signal is said to be analog signal. A signal is any quantity having information associated with it. It may also be defined as a function of one<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[729,6],"tags":[730,731,732,733],"class_list":["post-2693","post","type-post","status-publish","format-standard","hentry","category-signals-systems","category-ec","tag-analog-signals","tag-classification-of-signals","tag-elementary-signals","tag-unit-impulse-function"],"_links":{"self":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/2693","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/comments?post=2693"}],"version-history":[{"count":0,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/2693\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/media?parent=2693"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/categories?post=2693"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/tags?post=2693"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Elementary Signals<\/h2>\n
\nThese elementary signals are also known as basic signals\/standard signals. Let us discuss these basic signals one-by-one.<\/p>\nUnit Impulse Function<\/h3>\n
![\"Unit](\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/unit-impulse.jpg\")
<\/p>\n![\"Gaussian](\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/gaussian-pulse.jpg\")
![\"Exponential](\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/exponential-pulse.jpg\")
<\/p>\nClassification of Signals<\/h3>\n
\n\u2022 Analog and digital signals
\n\u2022 Periodic and aperiodic signals
\n\u2022 Energy and power signals
\n\u2022 Even and odd signals
\n\u2022 Deterministic and random signals
\n\u2022 Causal, anti-causal and non-causal signals
\n\u2022 Bounded signals and unbounded signals<\/p>\nContinuous-time and Discrete-time Signals:<\/h4>\n
\nIn general, discrete time signal is defined only for integer values of independent variable generally time interval
\nis same, but it is not always so.<\/p>\nAnalog and Digital Signals<\/h4>\n
\nOn the other hand, a digital signal is one whose amplitude take some specific values in its dynamic range. Based upon above discussion four combinations are possible:<\/p>\n![\"Analog\"](\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/analog.jpg\")
<\/p>\n","protected":false},"excerpt":{"rendered":"