Convolution is used in the mathematics of many fields, such as probability and statistics.
It is the single most important technique in Digital Signal Processing. Convolution is a mathematical way of combining two signals to form a third signal. In this post we will see an example of the case of continuous convolution and an example of the analog case or discrete convolution.

Convolution of signals – Continuous and discrete The convolution is the function that is obtained from a two-function account, each one gives him the interpretation he wants. Second, multiply the two signals and compute the signed area of the resulting function of v to obtain y(t). comes an integral. The resulting integral is referred to as the convolution in-tegral and is similar in its properties to the convolution sum for discrete-time signals and systems. Before we state the convolution properties, we first introduce the notion of the signal duration. Discrete time convolution is an operation on two discrete time signals defined by the integral 6.1 Convolution of Continuous-Time Signals The continuous-timeconvolution of two signals and is defined by In this integral is a dummy variable of integration, and is a parameter. A number of the important properties of convolution that have interpretations and consequences for linear, time-invariant systems are developed in Lecture 5. The duration of a signal Convolution and Circular Convolution Convolution Operation Definition. Convolution is a formal mathematical operation, just as multiplication, addition, and integration. Hence, convolution can be used to determine a linear time invariant system's output from knowledge of the input and the impulse response.
Using the strategy of impulse decomposition, systems are described by a signal called the impulse response. To explore graphical convolution, select signals x(t) and h(t) from the provided examples below,or use the mouse to draw your own signal or to modify a selected signal. These operations can be repeated for every value of t of interest. Addition takes two numbers and produces a third number , while convolution takes two signals and produces a third signal .