## Understanding convolution

To understand the concept of convolution, let us take an example to determine the position of a lost mobile phone with the help of a laser sensor. Let's say the current location of the mobile phone at time *t* can be given by the laser as *f (t)*. The laser gives different readings of the location for all the values of *t*. The laser sensors are generally noisy in nature, which is undesirable for this scenario. Therefore, to derive a less noisy measurement of the location of the phone, we need to calculate the average various measurements. Ideally, the more the measurements, the greater the accuracy of the location. Hence, we should undergo a weighted average, which provides more weight to the measurements.

A weighted function can be given by the function *w (b)*, where *b* denotes the age of the measurement. To derive a new function that will provide a better estimate of the location of the mobile phone, we need to take the average of the weight at every moment.

The new function...