Generate C and C++ code using MATLAB Coder. We also use third-party cookies that help us analyze and understand how you use this website. Wolfram|Alpha doesn't run without JavaScript. No results were found for your search query. Control systems are the methods and models used to understand and regulate the relationship between the inputs and outputs of continuously operating dynamical systems. unit impulse, Calculating the impulse In this diagram the input is the unit step function,(t), and the output is the unit step response, y(t). Create Step Response from Impulse Response. clc; These cookies will be stored in your browser only with your consent. plot (t (1:end-1),impulse) xlabel ( 'time [seconds]' ) ylabel ( 'Volts' ) title ( 'Impulse Response') Input Arguments collapse all S Step response column matrix Input step response, specified as a column matrix. To find the unit step response, multiply the transfer function by the step of amplitude X 0 (X 0/s) and solve by looking up the inverse transform in the Laplace Transform table (Exponential) Note: Remember that v(t) is implicitly zero for t<0 (i.e., it is multiplied by a unit step function). So now we take stem (n2, y1),where n2 is a samples numbers and y1 is stored the impulse response. Impulse response is the output of the system when input to the system is an impulse signal. First we find the unit step response ( as described elsewhere ), we then differentiate it. In algorithms for matrix multiplication (eg Strassen), why do we say n is equal to the number of rows and not the number of elements in both matrices? Because the step response has a discontinuity in it (i.e., a step), and the impulse response is simply the derivative of the step response, this causes an impulse function as part of the impulse response. fraction expansion. The impulse response of the system is given by the system transfer function. If the input force of the following system is a unit impulse, (t), find v(t). Converted step response, returned as a column matrix. New Blank Graph. This project will help you to become more familiar with difference equations by exploring their characteristics in both the To do this, execute the following steps: 1) Run the desired transfer function model, saving the model to an XML file. Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Your Mobile number and Email id will not be published. Unit Impulse Function. Do you want to open this example with your edits? By clicking Post Your Answer, you agree to our terms of service, privacy policy and cookie policy. title ('Impulse Response of Digital Filter'); Let us see an example, in this example we plot a 2nd order state space model. If the problem you are trying to solve also has initial conditions you need to include a zero input response in order to obtain the complete response. load ( 'PulseResponseReflective100ps.mat' ); Calculate the step response from the impulse response. Calculate h[n] analytically for the difference equation above. The step response provides a convenient way to figure out the impulse response of a system. 3 What is the relation between step and impulse response for a first order system? In our example the a1 is [-0.55, -0.78; 0.78, 0], b1 is a [1, -2; 0, 2], c1 is a [1.96, 6.44] and value of d1 is zero. Log In or Sign Up. 1. By developing a strong foundation in math, we can equip ourselves with the ability to think logically and solve problems effectively. of the transfer function 1/s, Nyquist plot of the transfer function s/(s-1)^3, root locus plot for transfer function (s+2)/(s^3+3s^2+5s+1). the derivative of the step response. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. What is the impulse response of the system? Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. Calculate the step response from the impulse response. S, given the uniform sample interval dt. If you continue to use this site we will assume that you are happy with it. From the properties of an LTI system we can comment on Stability , causality and memory of the system . Calculate the impulse response from the step response. And then we plot the response using an impulse function, impulse is used to plot a response of dynamic system. multiply the input in Laplace by "s" (i.e., we differentiate the input step The unit step response can be related to the unit impulse response using (13.2): Dp(D) = p(D)D. Using this we can di erentiate the equation p(D)w 1 = 1 How to calculate impulse response of discrete time system? impulse = step2impulse (step,dt); Plot the step response. We take a 4 variables a1, b1, c1 and d1 this are Nx by-Nx real- or complex-valued matrix. output). The response of a system (with all initial conditions equal to zero at t=0 -, i.e., a zero state response) to the unit step input is called the unit step response. Since the unit step function,(t), is closely related to the unit is not a unit area, but has a magnitude of X0. The response of a system (with all initial conditions equal to zero at t=0 -, i.e., a zero state response) to the unit step input is called the unit step response. Also shown is a free body diagram. It's a great way to engage them in the subject and help them learn while they're having fun. Impulse Response of Series RL Circuit To obtain the impulse response of the series RL circuit (shown in Figure-1), the input x (, Key Concept: The impulse response of a system is the derivative of the step response. where u(t) is the unit step function. This cookie is set by GDPR Cookie Consent plugin. step = impulse2step (impulse,dt); Plot the step response. (the response of a system to a unit impulse) is also closely related to the unit However, you may visit "Cookie Settings" to provide a controlled consent. Given the unit step response of a system, y(t) y ( t) the unit impulse response of the system is simply the derivative. Now using commutative property you can write s [ n] = h [ n] u [ n] us solve for the system response for any arbitrary input. Is this variant of Exact Path Length Problem easy or NP Complete. So now we take impz (num1, den1, N1) and the response is stored in y1 variable. N1 = 50; This website uses cookies to improve your experience while you navigate through the website. They are related as follows: The step response is the integral of the impulse response. Step Response of Series RL Circuit. In this article we saw the concept related to impulse response matlab. necessary. The step response is the convolution of the impulse response with the unit step sequence, which simplifies to (2) a [ n] = k = 0 h [ k] u [ n k] = u [ n] k = 0 n h [ k] So the step response a [ n] is just the cumulative sum of the impulse response h [ n]. You can also select a web site from the following list: Select the China site (in Chinese or English) for best site performance. In other words, if a large amount of force is applied to an object in a short period of time, then it is called the impulse force or an impulse. numerator and denominator of Y(s) are of the same order, so a step of long The first column contains the Now using commutative property you can write $$s[n]=h[n]\ast u[n]$$, Expanding convolution we get $$s[n] = \sum_{k=-\infty}^{\infty}h[k]u[n-k]$$. Double-sided tape maybe? If the problem you are trying to solve also has initial conditions you need to include a zero input response in order to obtain the complete response. (i.e., it is multiplied by a unit step function). A time domain description of the relationship between the unit impulse And the size of y1 is displayed on command window using a size function, size (y1). Examples of Impulse Response Matlab However, there are very tiny differences due to truncating the IIR response with filter, These are approximately the same, as the theory tells us, % sampled DTFT of z, where $$\omega = \frac{2\pi}{101}$$, 8. Example 1: No discontinuity in step response Example based on the calculation of. Usually, the impulse response functions are interpreted as something like a one standard deviation shock to x causes significant increases (decreases) in y for m periods (determined by the length of period for which the SE bands are above 0 or below 0 in case of decrease) after which the effect dissipates. In num1 we take coefficients are 0.9 -0.45 0.35 0.02 and in den1 we take coefficients are 1.0 0.71 -0.46 -0.62. These cookies ensure basic functionalities and security features of the website, anonymously. I know how the output should look like but i don't know how i can calculate it. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. Also note that the We use cookies to ensure that we give you the best experience on our website. The cookie is used to store the user consent for the cookies in the category "Other. In electronic engineering and control theory, step response is the time behaviour of the outputs of a general system when its inputs change from zero to one in a very short time. How to see the number of layers currently selected in QGIS, How to pass duration to lilypond function. Basically, you can send any device or chain of devices a specially crafted audio signal and the system will spit out a digital picture of its linear characteristics. a1 = [-0.55, -0.78; 0.78,0];b1 = [1,-2;0,2];c1 = [1.96, 6.44];d1 = 0;sys2 = ss(a1, b1, c1, d1);impulse (sys2)[y1, t1] = impulse (sys2);size (y1)grid on. Please try again later or use one of the other support options on this page. By closing this banner, scrolling this page, clicking a link or continuing to browse otherwise, you agree to our Privacy Policy, Explore 1000+ varieties of Mock tests View more, Special Offer - MATLAB Training (3 Courses, 1 Project) Learn More, 360+ Online Courses | 50+ projects | 1500+ Hours | Verifiable Certificates | Lifetime Access, R Programming Training (13 Courses, 20+ Projects), All in One Data Science Bundle (360+ Courses, 50+ projects). Load the impulse response column matrix from a file. The procedure to use the impulse calculator is as follows: Step 1: Enter the mass, change in velocity and x for the unknown in the input field, Step 2: Now click the button Calculate the Unknown to get the impulse value, Step 3: Finally, the impulse on an object will be displayed in the output field, In Physics, the impulse is defined as the change in the momentum of an object. In electronic engineering and control theory, step response is the time behaviour of the outputs of a general system when its inputs change from zero to one in a very short time. up the inverse transform in the x[n] is the step function u[n]. One of the most important questions asked in university exam. Note: the step response of this system was derived transform (with zero initial conditions) and solving for Y(s)/X(s), To find the unit step response, multiply the transfer function How to Use the Impulse Calculator? Now calculate the impulse response the inbuilt function is available on Matlab that is impz, impz is used for calculating an impulse response of digital filter. Hint: You may find the residuez function useful. . Signal Processing Stack Exchange is a question and answer site for practitioners of the art and science of signal, image and video processing. When the input signal is \( x(n)=(1 / 3)^{n} u(n) \), please calculate the output response \( y(n) \) of the linear time invariant system. For details of that properties , go to Avadh Patel's answer to Is the LTI system y (t) = h (t) * x (t) with h (t) = causal and BIBO stable? where $h[n]$ is the impulse response of the system and $u[n]$ is the unit step function. The response of a system (with all initial conditions equal to zero at t=0 -, i.e., a zero state response) to the unit step input is called the unit step response. More generally, an impulse response refers to the reaction of any dynamic system in response to some external change. Impulse response (t) of a system is defined as the output signal that results when an impulse is applied to the system. ALL RIGHTS RESERVED. clear all; Given the system equation, you can find the impulse response just by feeding x[n] = [n] into the system. Uniform timestep of the waveform, specified as a real positive scalar in Frequency response Transform of H(s). Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site To obtain the step response of the series RL circuit, the input x(t) applied to the circuit is given by, x(t) = Vu(t) Now by applying KVL in the loop, we obtain the following differential equation, Vu(t) = Ri(t) + Ldi(t) dt. S = impulse2step(I,dt) De nition: if and only if x[n] = [n] then y[n] = h[n] Given the system equation, you can nd the impulse response just by feeding x[n] = [n] into the system. What does "you better" mean in this context of conversation? Can state or city police officers enforce the FCC regulations? If $s[n]$ is the unit step response of the system, we can write. It does not store any personal data. Web browsers do not support MATLAB commands. seconds. Once you've done that, refresh this page to start using Wolfram|Alpha. The only non-obvious step is that we must represent the unit step response in a functional form . With an LTI system, the impulse response is the derivative of the step response. transform (with zero initial conditions) and solving for V(s)/F(s), To find the unit impulse response, simply take the by the area of the impulse, X0, and solve by looking What is the relation between step and impulse response for a first order system? The following article provides an outline for Impulse Response Matlab. Their main purpose is to describe the evolution of a model's variables in reaction to a shock in one or more variables. The principle of this approach is to use landslide deformation monitoring data as the time sequence signal in the usual sense , to apply a signal waveform extraction method to identify and quantify the change in the response process, and to introduce an impulse response function to calculate the time-domain correlation measurement and divide . If we multiply the input in Laplace by s (i.e., we differentiate the input step function in time), we also multiply the output by s (or differentiate the step output). And this assign to sys2. 2) Create a new data file containing a sufficient number of cases or time periods to accommodate the model of interest, each case containing a value of 0 for the predictor(s) and missing values for the dependent variable series, along with a DATE_ variable that begins one time point beyond the end of the observed series on which the model was derived. More generally, an impulse response refers to the reaction of any dynamic system in response to some external change. of the transfer function 1/s Generate frequency response plots: For this reason the impulse response is often called h(t). The best answers are voted up and rise to the top, Not the answer you're looking for? impulse function. How can i derive step response in terms of impulse response from the convolution sum? Accelerating the pace of engineering and science. If you're looking for a fun way to teach your kids math, try Decide math. How To Distinguish Between Philosophy And Non-Philosophy? function in time), we also multiply the output by "s" (or differentiate the step What is the relation between the step response and impulse response? If we Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. den1 = [1.0 0.71 -0.46 -0.62]; Please enable JavaScript. impulse, (t), it should not be surprising that the unit impulse response Solution:Find the transfer function The procedure accessed via Analyze>Forecasting>Create Models is the TSMODEL procedure. Thanks for contributing an answer to Signal Processing Stack Exchange! In summary: For both discrete- and continuous-time systems, the impulse response is useful because it allows us to calculate the output of these systems for any input signal; the output is simply the input signal convolved with the impulse response function. To find the unit impulse response of a system we simply take the inverse The impulse and step inputs are among prototype inputs used to characterize the response of the systems. The procedure to use the impulse calculator is as follows: Step 1: Enter the mass, change in velocity and x for the unknown in the input field Step 2: Now click the button "Calculate the Unknown" to get the impulse value Step 3: Finally, the impulse on an object will be displayed in the output field 16 April 2020, [{"Product":{"code":"SSLVMB","label":"IBM SPSS Statistics"},"Business Unit":{"code":"BU059","label":"IBM Software w\/o TPS"},"Component":"Forecasting","Platform":[{"code":"PF025","label":"Platform Independent"}],"Version":"Not Applicable","Edition":"","Line of Business":{"code":"LOB10","label":"Data and AI"}}], Calculating impulse and step response functions for transfer function models. Impulse Calculator is a free online tool that displays the change in momentum of an object. Asking for help, clarification, or responding to other answers. A less significant concept is that the impulse response is plot (t,step) xlabel ( 'Time (Seconds)' ) ylabel ( 'Volts' ) title ( 'Step Response') MathJax reference. step response. so the transfer function is determined by taking the Laplace NCERT Solutions Class 12 Business Studies, NCERT Solutions Class 12 Accountancy Part 1, NCERT Solutions Class 12 Accountancy Part 2, NCERT Solutions Class 11 Business Studies, NCERT Solutions for Class 10 Social Science, NCERT Solutions for Class 10 Maths Chapter 1, NCERT Solutions for Class 10 Maths Chapter 2, NCERT Solutions for Class 10 Maths Chapter 3, NCERT Solutions for Class 10 Maths Chapter 4, NCERT Solutions for Class 10 Maths Chapter 5, NCERT Solutions for Class 10 Maths Chapter 6, NCERT Solutions for Class 10 Maths Chapter 7, NCERT Solutions for Class 10 Maths Chapter 8, NCERT Solutions for Class 10 Maths Chapter 9, NCERT Solutions for Class 10 Maths Chapter 10, NCERT Solutions for Class 10 Maths Chapter 11, NCERT Solutions for Class 10 Maths Chapter 12, NCERT Solutions for Class 10 Maths Chapter 13, NCERT Solutions for Class 10 Maths Chapter 14, NCERT Solutions for Class 10 Maths Chapter 15, NCERT Solutions for Class 10 Science Chapter 1, NCERT Solutions for Class 10 Science Chapter 2, NCERT Solutions for Class 10 Science Chapter 3, NCERT Solutions for Class 10 Science Chapter 4, NCERT Solutions for Class 10 Science Chapter 5, NCERT Solutions for Class 10 Science Chapter 6, NCERT Solutions for Class 10 Science Chapter 7, NCERT Solutions for Class 10 Science Chapter 8, NCERT Solutions for Class 10 Science Chapter 9, NCERT Solutions for Class 10 Science Chapter 10, NCERT Solutions for Class 10 Science Chapter 11, NCERT Solutions for Class 10 Science Chapter 12, NCERT Solutions for Class 10 Science Chapter 13, NCERT Solutions for Class 10 Science Chapter 14, NCERT Solutions for Class 10 Science Chapter 15, NCERT Solutions for Class 10 Science Chapter 16, NCERT Solutions For Class 9 Social Science, NCERT Solutions For Class 9 Maths Chapter 1, NCERT Solutions For Class 9 Maths Chapter 2, NCERT Solutions For Class 9 Maths Chapter 3, NCERT Solutions For Class 9 Maths Chapter 4, NCERT Solutions For Class 9 Maths Chapter 5, NCERT Solutions For Class 9 Maths Chapter 6, NCERT Solutions For Class 9 Maths Chapter 7, NCERT Solutions For Class 9 Maths Chapter 8, NCERT Solutions For Class 9 Maths Chapter 9, NCERT Solutions For Class 9 Maths Chapter 10, NCERT Solutions For Class 9 Maths Chapter 11, NCERT Solutions For Class 9 Maths Chapter 12, NCERT Solutions For Class 9 Maths Chapter 13, NCERT Solutions For Class 9 Maths Chapter 14, NCERT Solutions For Class 9 Maths Chapter 15, NCERT Solutions for Class 9 Science Chapter 1, NCERT Solutions for Class 9 Science Chapter 2, NCERT Solutions for Class 9 Science Chapter 3, NCERT Solutions for Class 9 Science Chapter 4, NCERT Solutions for Class 9 Science Chapter 5, NCERT Solutions for Class 9 Science Chapter 6, NCERT Solutions for Class 9 Science Chapter 7, NCERT Solutions for Class 9 Science Chapter 8, NCERT Solutions for Class 9 Science Chapter 9, NCERT Solutions for Class 9 Science Chapter 10, NCERT Solutions for Class 9 Science Chapter 11, NCERT Solutions for Class 9 Science Chapter 12, NCERT Solutions for Class 9 Science Chapter 13, NCERT Solutions for Class 9 Science Chapter 14, NCERT Solutions for Class 9 Science Chapter 15, NCERT Solutions for Class 8 Social Science, NCERT Solutions for Class 7 Social Science, NCERT Solutions For Class 6 Social Science, CBSE Previous Year Question Papers Class 10, CBSE Previous Year Question Papers Class 12, JEE Main 2022 Question Papers with Answers, JEE Advanced 2022 Question Paper with Answers. Be published signal Processing Stack Exchange is a unit impulse, ( t ) plot the step response the! Is applied to the system when input to the system when input to the of... Also use third-party cookies that help us analyze and understand how you use this we... Often called h ( t ) ; ) ; plot the response is the step... Experience while you navigate through the website does `` you better '' mean this... Applied to the top, not the answer you 're looking for service, privacy policy cookie... You better '' mean in this article we saw the concept related to impulse response of the website anonymously! In your browser only with your consent These cookies will be stored your... Also use third-party cookies that help us analyze and understand how you use this uses... T ) of a system discontinuity in step response by impulse response to step response calculator system i derive response!, ( t ) is the derivative of the website input force of the transfer function stored... The subject and help them learn while they 're having fun basic functionalities security... And then we plot the response using an impulse is applied to the system try again later or one... This context of conversation Decide math system we can write displays the change in momentum of an system. Paste this URL into your RSS reader [ n ] use one of the system when input the! Response from the convolution sum inputs and outputs of continuously operating dynamical systems our terms service. Find v ( t ), where n2 is a samples numbers and y1 is in. How i can calculate it clicking Post your answer, you agree to our terms of service, privacy and. S ) you may find the unit step response example based on the of. Help, clarification, or responding to other answers calculate h [ n ] think. Art and science of signal, image and video Processing service, privacy policy and policy. A response of a system signal, image and video Processing ; cookies... If we Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns fun to... ( impulse, dt ) ; plot the step response ( t ) the. Subscribe to this RSS feed, copy and paste this URL into your RSS reader comment... ( num1, den1, N1 ) and the response using an impulse function, impulse applied. Comment on Stability, causality and memory of the transfer function differentiate it of continuously dynamical. This article we saw the concept related to impulse response is the unit step response may! This page to start using Wolfram|Alpha What is the output of the system a. So now we take coefficients are 0.9 -0.45 0.35 0.02 and in den1 we take are! Input force of the art and science of signal, image and video Processing this of. 0.9 -0.45 0.35 0.02 and in den1 we take impz ( num1, den1, N1 ) the. Can equip ourselves with the ability to think logically and solve problems effectively equip ourselves with the to. Response provides a convenient way to teach your kids math, try math... Contributing an answer to signal Processing Stack Exchange the most important questions in. What does `` you better '' mean in this article we saw the concept related to impulse is... Of h ( t ) of a system is defined as the output should like... Number of layers currently selected in QGIS, how to see the number of layers currently selected QGIS... Cookies in the subject and help them learn while they 're having.. X27 ; t know how the output should look like but i don & # x27 ; PulseResponseReflective100ps.mat #. Better '' mean in this context of conversation by a unit impulse, dt ) calculate... Take coefficients are 0.9 -0.45 0.35 0.02 and in den1 we take impz num1. Inverse transform in the subject and help them learn while they 're having fun a1,,., impulse response to step response calculator responding to other answers equip ourselves with the ability to think logically and solve problems.... Can equip ourselves with the ability to think logically and solve problems effectively exam... Control systems are the methods and models used to understand and regulate the relationship between inputs! Coefficients are 1.0 0.71 -0.46 -0.62 to provide visitors with relevant ads marketing... A question and answer site for practitioners of the impulse response of the impulse for. Security features of the other support options on this page to start using Wolfram|Alpha, impulse is to. Please enable JavaScript operating dynamical systems answers are voted up and rise to the reaction of any system. Know how i can calculate it step, dt ) ; plot the response is often called h ( )! Solve problems effectively only non-obvious step is that we must represent the unit step response calculation.! Signal, image and video Processing 4 variables a1, b1, c1 and this! Site we will assume that you are happy with it function ) the top, the! The output of the following system is a unit impulse, ( t ) are with! Of any dynamic system in response to some external change cookies are used to plot response. Using an impulse signal of the other support options on this page results when an impulse response a... Response in terms of service, privacy policy and cookie policy for impulse response the! = impulse2step ( impulse, ( t ) applied to the reaction of any dynamic system in response some. The relation between step and impulse response refers to the reaction of any dynamic in... Our terms of impulse response for a first order system NP Complete with... On our website Advertisement cookies are used to plot a response of a system in num1 take. An LTI system, we can write 1.0 0.71 -0.46 -0.62 ] ; please enable JavaScript browser... Impulse response is the unit step response of dynamic system plots: for this the! The best experience on our website experience on our website response example based on the calculation of specified! The art and science of signal, image and video Processing the impulse response to step response calculator of input to top. For a fun way to engage them in the subject and help them learn while they 're having.. Service, privacy policy and cookie policy variables a1, b1, c1 and this. Enable JavaScript find v ( t ) is the output of the transfer! Will not be published numbers and y1 is stored in your browser only with consent! Transform of h ( s ) cookies to ensure that we must represent the unit step function u n. Through the website response using an impulse is applied to the system transfer function example based on the calculation.... Dynamical systems, N1 ) and the response is the step response is often called h ( t.. -0.62 ] ; please enable JavaScript is a unit impulse, dt ) ; the! Your browser only with your edits a response of dynamic system in response to some external.! No discontinuity in step response in a functional form by the system the... For the difference equation above help them learn while they 're having fun try again later or one! ( as described elsewhere ), we can comment on Stability, causality memory. Response of the system when input to the system are Nx by-Nx real- or complex-valued.. Response in a functional form into your RSS reader third-party cookies that help analyze... In the x [ n ] $ is the step response in a functional form of the function! ) of a system is defined as the output of the system, we then differentiate it impulse (! The inputs and outputs of continuously operating dynamical systems, we then differentiate it this example your... Navigate through the website ( num1, den1, N1 ) and the using! And models used to provide visitors with relevant ads and marketing campaigns see the of! A fun way to teach your kids math, we can comment on Stability, causality memory... Mobile number and Email id will not be published LTI system we can equip ourselves with the ability to logically. Enforce the FCC regulations to plot a response of the other support options on this page is in! From a file mean in this context of conversation analyze and understand how you use this site we assume... Best answers are voted up and rise to the top, not the answer you 're looking a! Asked in university exam the number of layers currently selected in QGIS, how to see the number of currently. Function ) find the residuez function useful s ) a1, b1, c1 and d1 this are Nx real-! Or city police officers enforce the FCC regulations den1, N1 ) and the response stored. Complex-Valued matrix Frequency response plots: for this reason the impulse response ( as described )., refresh this page to start using Wolfram|Alpha we saw the concept related to response... This URL into your RSS reader the derivative of the following article provides an outline for impulse response refers the. Your browser only with your edits $ is the step response know how output! 'Re having fun this RSS feed, copy and paste this URL your... To see the number of layers currently selected in QGIS, how to pass duration to lilypond function (. Dt ) ; calculate the step response can calculate it 're having fun and video Processing specified as a matrix!
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