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Solving Linear Equations with Modified Cholesky Decomposition
In our previous tutorial, we have discussed about Cholesky decomposition which is a very important matrix factorization to solve a linear equation. But this technique has some drawbacks which are also discussed in the same tutorial. In this tutorial, we …
Solving Linear Equations using Cholesky Decomposition
Cholesky decomposition is a very important matrix factorization technique which is used to solve a linear equation. This technique originally derives from very popular LU decomposition and very suitable for higher order matrices. In Cholesky decomposition, the co-efficient matrix $A$ …
SVD Implementation Strategies
Singular Value Decomposition (SVD) is one of the matrix factorization techniques which can be used to solve linear equations. But this is not the primary objective of SVD. SVD can provide singular values of matrix. Singular values reveal unique information …
FPGA Implementation QR Decomposition Based on CORDIC
QR decomposition is one of the powerful matrix factorization techniques that is used to solve a linear equation, to find matrix inverse or to find pseudo-inverse. In this factorization technique, a matrix (A) is factorized into two matrices Q and …
FPGA Based PWM Signal Generation
Pulse Width Modulation (PWM) signal is used in place of a Digital to Analog Converter (DAC) to simplify the digital-to-analog conversion process. PWM is used when we need to generate analog voltage corresponding to some digital value. PWM is a …
Interfacing Ultrasonic Sensor with FPGA
Ultrasonic sensor is one of the most important sensors which are used for IoT applications. There are plenty of tutorials available in the internet which tells us how to interface an ultrasonic sensor with Arduino and other popular controllers. In …
Seven Segment Display Controller
Almost every FPGA boards are having seven segment display elements. These displays are very useful for displaying data in he form of BCD. Suppose, one design is implemented on FPGA and display of the result is required. Then the result …
LUT Based Numerically Controlled Oscillator
A numerically controlled oscillator (NCO) is used for on-chip generation of major signals like cosine, sine, linear frequency modulated (LFM), Gaussian etc. in system on chips (SoCs). These signals can be generated by two ways, either by analog circuitry or …
Implementation of Logarithm Function
Signal processing algorithms sometimes involve computation of exponential as well as logarithm. Thus it is important to implement both the functions on digital hardware. In our previous tutorials, we have discussed implementation of exponential function. In this work, design of …
Efficient Architecture for Exponential
In the previous post, we have discussed the theory for computation of exponential and discussed about its hardware architecture. In this post, we will discuss an alternative architecture to compute the exponential. If we examine the equations which evaluate the …

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