In this article, we will explore how to calculate variance in MATLAB. In mathematics, variance is a statistical tool used to measure the degree of dispersion of a set of data points around its average value. It is widely used to quantify the diversity or variability of a set of data points. We can compute variance of a data set by using the following formula: $\mathrm{Var=\frac{\displaystyle\sum\limits_{i=1}^n (x_i −\bar{x})^2}{n}}$ Where, xi is the individual data points, is the average of data set, and n is the total number of data points in the set. The following sections of this articles ... Read More

MedianThe median is the statistical measure for the central tendency that represents the middle value of the sorted list of values. In other words, we can say that the median is the value which separates the upper half of the dataset from the lower half of the dataset. The mathematical formula for calculating the median is as follows when the total number of elements is odd. Median = (n+1)/2 Where, n is the last element from the given set. Flattened array Flattening is a process of reducing the dimensionality of an array. flattened array is a 1-d ... Read More

Mean, Standard Deviation and Variance are the statistical measures which are used to describe the distribution of the given dataset data. In Numpy library, we have the functions to calculate the mean, standard deviation and variance of the arrays. Let’s see one by one in detail. Mean Mean is also known as average, which is the sum of all the elements in the array divided by the total number of elements. It is used to represent the central tendency of the data. Syntax Following is the syntax for applying the mean function on the arrays - numpy.mean(arr) ... Read More

In this article, we will learn ow to calculate the impulse response of a system in MATLAB. Impulse response is an elementary concept used in analyzing and understanding the behavior of systems for an impulse input. It is mainly used to analyze the linear time invariant systems like digital filters, electronic circuits, signal processing systems, control systems, and more. Impulse response of a system can be defined as follows: The response of a system when an impulse input signal is applied to it, is called the impulse response. It is denoted as h(t) for continuous time systems and h[n] for ... Read More

In this article, we will learn to calculate standard deviation in MATLAB. Standard deviation is a mathematical operation that gives the measure of variation in a set of data points. The standard deviation is used to study the dispersion of data around their average value. If a set of data points has a low standard deviation, it indicates that the data points tend to nearer to the average value. Whereas, the high standard deviation specifies a large dispersion of data points out from their average value. In MATLAB, we can calculate the standard deviation by using a built−in function named, ... Read More

In this article, we will explore how to calculate moving sum using MATLAB programming. But before that let us have a look into the concept of moving sum. What is Moving Sum? Moving sum is a mathematical operation that allows to calculate the sum of a set of numbers over a specified interval, known as window size or rolling window. It is also known as cumulative sum or rolling sum. Moving sum is widely used in the field of data analysis and signal processing. Moving sum is generally performed on sequential data where the order of data elements is significant ... Read More

The inverse matrix is a matrix that gives a multiplicative identity when multiplied with its original matrix. It is denoted by A-1. The inverse matrix can be calculated for the square matrices with the n x n size. The mathematical formula given for calculating the inverse matrix is as follows. A-1 . A = A . A-1 = I Where, A is the original matrix. A-1 is the inverse of the original matrix A. I is the identity matrix. Let’s take the original matrix as A with the size 2 x 2 and elements as ... Read More

In this article, we will learn how to convert a YIQ image into an RGB image using MATLAB programming. YIQ is color space used in analog display devices to display color images. It uses three components namely, Y (brightness), I (In−Phase), and Q (Quadrature) to distinguish the image. Here, the Y component of the color space represents the luminance or brightness of the image, and the other two components, i.e. I and Q represent the color information of the image. The YIQ is a NTSC (National Television System Committee) standard based color−space. It is used in analog video systems to ... Read More

In this article, we will explore how to convert a colored image with three channels, i.e. RGB (Red, Green, and Blue) into a gray scale image using MATLAB. An RGB image is a digital image in which each pixel is represented as a combination of intensity of three−color channels, namely red, green, and blue. RGB image is mainly used display color images on display screens. On the other hand, a gray scale image is one that uses only two colors, i.e. black and white to represents the elements in an image. In other words, a gray scale image is a ... Read More

Inner product is one of the most important operations in the linear algebra mathematical operations, which takes two vectors as input and gives the scalar value as the output. It is also known as the Dot product or the scalar product. The inner product of the two vectors is given as follows. a . b = ||a|| ||b|| cos(Ø) Where, ||a|| and ||b|| are the magnitudes of the vectors a and b respectively Ø is the angle between the vectors a and b a . b is the dot product of a and b Calculating Inner ... Read More