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Double-click the upper Signal From Workspace block. In other words, template T2 leads signal S by 499 samples as indicated by SampleDiff. In natural "active" vision, humans and other primates use eye movements (saccades) to sample bits of information from visual scenes. Use the numerator and denominator factors obtained with rat as inputs to resample to output a waveform sampled at 48 kHz. A power spectrum displays the power present in each frequency. In each plot display the location of the maximum. With the temperatures in the low 70s, you need to remove the mean to analyze small fluctuations in the signal. offers. Set the Sample time parameter to 1. Other MathWorks country sites are not optimized for visits from your location. Reload the page to see its updated state. This implies that signals with sharp transition in time domain are made up of a large number of constituent sinusoids, including those with higher frequencies. To verify if they are, compute and plot the difference between the locations of subsequent peaks. Unable to complete the action because of changes made to the page. Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. The first 7-day cycle indicates that there is weekly cyclic behavior of the building temperature where temperatures lower during the weekends and go back to normal during the week days. Consider a database of audio signals and a pattern matching application where you need to identify a song as it is playing. If you want to integrate the signals and study them in tandem, you have to synchronize them. RF mapping At first, the approximate RF location of neurons in each V1 cortical column has been identified manually. The sample rate used on compact discs is 44.1 kHz, while the sample rate used on digital audio tape is 48 kHz. Different Learning Rate(LR) for Backbone and Heads n MMSegmentation, you may add following lines to config to make the LR of heads 10 times of backbone. How to get the closed form solution from DSolve[]? Click Advanced then drag the Quality Slider to adjust the quality of the sampling conversion. Data is commonly stored at a low sample rate to occupy less memory. The resample function applies an anti-aliasing (low-pass) FIR filter to the signal during the resampling process. https://it.mathworks.com/matlabcentral/answers/147437-time-aligning-two-signal-at-different-sample-rates, https://it.mathworks.com/matlabcentral/answers/147437-time-aligning-two-signal-at-different-sample-rates#comment_231234, https://it.mathworks.com/matlabcentral/answers/147437-time-aligning-two-signal-at-different-sample-rates#answer_148482. 2.5. Other MathWorks country The time interval between samples is called the sampling interval . Many measurements involve data collected asynchronously by multiple sensors. When you analyze the signals, you may need to align them. Other MathWorks country sites are not optimized for visits from your location. Set the volume to a comfortable level before you play the signals. MathWorks is the leading developer of mathematical computing software for engineers and scientists. is there a chinese version of ex. Learn more about time alignment, resample, rational fraction Input the ratio of the new sample rate, 48000, to the original sample rate, 44100. s2 leads s1 by 350 samples; s3 lags s1 by 150 samples. It is suitable in many applications but if irrational conversion factors are needed the problem appears. By clicking Post Your Answer, you agree to our terms of service, privacy policy and cookie policy. We can also use the finddelay function to find the delay between two signals. Execute the sound commands separately so that you can hear the signal with the two different sample rates. Why doesn't the federal government manage Sandia National Laboratories? The locations of the maximum values of the cross-correlations indicate time leads or lags. Based on your location, we recommend that you select: . Use xcorr for that purpose. You can also select a web site from the following list: Select the China site (in Chinese or English) for best site performance. Change the sample rate of a speech sample from 7418 Hz to 8192 Hz. Use MathJax to format equations. The ALMA software is a large collection of modules, which implements the functionality needed for the observatory day-to-day operations, including among others Array/Antenna Control, Correlator,. I For example, we use the following MATLAB fragment to generate a sinusoidal signal: fs = 100; tt = 0:1/fs:3; xx = 5*cos(2*pi*2*tt + pi/4); I The resulting signal xx is a discrete-time signal: I The vector xx contains the samples, and I the vector tt species the . Do you want to open this example with your edits? Accelerating the pace of engineering and science. It will help you answer questions such as: How do I compare signals with different lengths or different sample rates? Accelerating the pace of engineering and science, MathWorks es el lder en el desarrollo de software de clculo matemtico para ingenieros. The following figure indicates a continuous-time signal x t and a sampled signal xs t. When x t is multiplied by a periodic impulse train, the sampled signal xs t is obtained. Most of the techniques I have discovered to time align two signals requires them to be sampled at the same rate. sites are not optimized for visits from your location. Data is commonly stored at a low sample rate to occupy less memory. Reload the page to see its updated state. offers. Alireza Hosseinnajad. t21 indicates that s2 lags s1 by 350 samples, and t31 indicates that s3 leads s1 by 150 samples. The Signal Processing Toolbox has functions that let you do just that. In synchronous sample rate converters, the sample rate of incoming signal is converted to a new sample rate by an integer factor. Set the volume on your computer to a comfortable listening level before playing the sounds. The safest way to do this is to resample the signal with a lower sample rate. What are some tools or methods I can purchase to trace a water leak? Unable to complete the action because of changes made to the page. Around what, specifically? Sampling is the process of recording an analog signal at regular discrete moments of time. Cross-correlation is a measure of similarity between two signals. The extent of this saccadic modulation outside of the visual . How would this be worked around? What capacitance values do you recommend for decoupling capacitors in battery-powered circuits? The input signal shall then be applied simultaneously to all three input channels; the indicated combined axis value shall be equal to the calculated result to within 3 %. Consider a situation where you are collecting data from different sensors recording vibrations caused by cars on both sides of a bridge. Sie haben eine genderte Version dieses Beispiels. A closer inspection reveals that the signals actually have different lengths and sample rates. The signal has two peaks roughly in the middle and after performing the upsample, those two peaks disappeared, thus synchronization using cross-correlation is not possible. First design a Butterworth filter. time aligning two signal at different sample rates 75 views (last 30 days) Show older comments Bran on 13 Aug 2014 Translate Answered: Star Strider on 13 Aug 2014 Most of the techniques I have discovered to time align two signals requires them to be sampled at the same rate. Unable to complete the action because of changes made to the page. If your computer can play audio, you can play the two waveforms. meet those requirements. Theoretically Correct vs Practical Notation. To implement the strategy mentioned above, we used MATLAB's templateSVM.m function with the Gaussian kernel, and to train the model, we used fitcecoc.m. Many measurements involve data collected asynchronously by multiple sensors. This workflow is common in audio processing. The phase lag between the 35 Hz components is close to -90 degrees, and the phase lag between the 165 Hz components is close to -60 degrees. The function works by delaying earlier signals, so use as reference the latest arrival time, that of s3. offers. Use rat to determine the approximation. Answered: Star Strider on 13 Aug 2014. Numpy It is probably more reliable to downsample the signal sampled at, You may receive emails, depending on your. The xcov function removes the mean of the signal before computing the cross-correlation and returns the cross-covariance. Dominant and minor peaks appear equidistant. The signals are now synchronized and ready for further processing. The vibrations it produces are measured by three identical sensors located at different spots. You can also select a web site from the following list: Select the China site (in Chinese or English) for best site performance. Most of the techniques I have discovered to time align two signals requires them to be sampled at the same rate. Yoshida, Y. I am trying to align both signals through cross-correlation methods. Do you want to open this example with your edits? Based on your location, we recommend that you select: . The first subplot indicates that signal S and template T1 are less correlated, while the high peak in the second subplot indicates that the signal is present in the second template. At what point of what we watch as the MCU movies the branching started? Accelerating the pace of engineering and science. Get Started with Signal Processing Toolbox. We can also use the finddelay function to find the delay between two signals. We can now cross-correlate signal S to templates T1 and T2 with the xcorr function to determine if there is a match. The resample function applies an anti-aliasing (low-pass) FIR filter to the signal during the resampling process. Cross-correlation can be performed between signals with different lengths, but it is essential to ensure that they have identical sample rates. 2- you can use 1-D data interpolation . Limit the maximum lag to 50% of the signal to get a good estimate of the cross-covariance. Design a low pass filter for this signal. Asking for help, clarification, or responding to other answers. It only takes a minute to sign up. The safest way to do this is to resample the signal with a lower sample rate. Choose a web site to get translated content where available and see local events and offers. Resample the speech sample at the new sample rate. Just by looking at the time series, the signal does not seem to match to any of the two templates. 2.3 Frequency Resolution (f) - Spacing between samples in the frequency domain. The basic idea is that the observed signals may be "warped" (e.g. Similarities can also be found in different sections of a signal to determine if a signal is periodic. MathWorks ist der fhrende Entwickler von Software fr mathematische Berechnungen fr Ingenieure und Wissenschaftler. Consider a situation where you are collecting data from different sensors recording vibrations caused by cars on both sides of a bridge. . Using matlab I downsampled the first signal to 800 Hz - signal1 = resample(signal1, 800, 1500); and the synchronization worked. Set the pass band frequency to 4.9 GHz and the stop band frequency to 5.6 GHz. The minor peaks indicate 7 cycles/week and the dominant peaks indicate 1 cycle/week. I am aware of the resample() function on matlab but I have a signal sampled at 60 Hz and the other at 200 Hz and I must of course use a rational fraction. Why must a product of symmetric random variables be symmetric? In the visual cortex, non-retinal signals linked to saccades shift visual cortical neurons into a high excitability state as each saccade ends. Just by looking at the time series, the signal does not seem to match to any of the two templates. How did StorageTek STC 4305 use backing HDDs? The first and the second subplots show the template signals from the database. The first signal is sampled at 1500 Hz and the second one at 800 Hz. You have a modified version of this example. The signals are now synchronized and ready for further processing. Align Signals Using Cross-Correlation Many measurements involve data collected asynchronously by multiple sensors. Choose a web site to get translated content where available and see local events and offers. In other words, template T2 leads signal S by 499 samples as indicated by SampleDiff. This model adds two signals with different sample periods. You see that P/Q*Fs only differs from the desired sample rate, 48000, on the order of 10-12. The problem is that my two signals are with different sample rates. Different lengths prevent you from calculating the difference between two signals but this can easily be remedied by extracting the common part of signals. Decimation implies reducing the sampling rate of a signal by applying . time aligning two signal at different sample rates. Limit the maximum lag to 50% of the signal to get a good estimate of the cross-covariance. For example, consider a car crossing a bridge. The delays can be computed exactly using finddelay. The signals were imported in MathWorks MatLab software for processing . Other MathWorks country The mscohere function calculates the spectral coherence between the two signals. To change the sample rate from 44.1 to 48 kHz, you have to determine a rational number (ratio of integers), P/Q, such that P/Q times the original sample rate, 44100, is equal to 48000 within some specified tolerance. 2.2 Spectral Lines (SL) - After Fourier transform, total number of frequency domain samples. There are different sources of additive noise. The best answers are voted up and rise to the top, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site. I am aware of the resample() function on matlab but I have a signal sampled at 60 Hz and the other at 200 Hz and I must of course use a rational fraction. To determine these factors, use rat. Measurements were taken every 30 minutes for about 16.5 weeks. meet those requirements. as in example? 1) resample the data with the fixed sampling rate (FSR), so that its samples are 10 ms appart from each other. I am aware of the resample() function on matlab but I have a signal sampled at 60 Hz and the other at 200 Hz and I must of course use a rational fraction. How do I measure a delay between two signals (and how do I align them)? Spectral coherence identifies frequency-domain correlation between signals. It works by sliding one signal across another and finding the optimal match. Web browsers do not support MATLAB commands. 2. Degraded speech affects the performance of speech-operated systems. This makes sense given that the data comes from a temperature-controlled building on a 7-day calendar. This information can now be used to align the 3 signals by time shifting the signals. MathWorks is the leading developer of mathematical computing software for engineers and scientists. offers. For example, consider a car crossing a bridge. I am trying to align both signals through cross-correlation methods. https://de.mathworks.com/matlabcentral/answers/147437-time-aligning-two-signal-at-different-sample-rates, https://de.mathworks.com/matlabcentral/answers/147437-time-aligning-two-signal-at-different-sample-rates#comment_231234, https://de.mathworks.com/matlabcentral/answers/147437-time-aligning-two-signal-at-different-sample-rates#answer_148482. What do you think you want to resample to? Please, see an example with signals A and B: whz dont you try to interpolate them on the same time axis with the max sampling frquency of the both ? Learn more about Stack Overflow the company, and our products. Going back to the previous example of 'gong' audio vector loaded in the Matlab variable space, the downsampling operation can be coded as follows. If you have two signals of two Y columns with Sampling Interval, first add a new column at the right, set as X, right click on the column, select Set Column Values from the short-cut menu, and type xof(A) in the opened dialog to make a copy of Y1 (column A)'s X. You clicked a link that corresponds to this MATLAB command: Run the command by entering it in the MATLAB Command Window. Choose a web site to get translated content where available and see local events and Making statements based on opinion; back them up with references or personal experience. Determine a rational approximation to the ratio of the new sample rate, 8192, to the original sample rate. Based on your location, we recommend that you select: . LR LR'head' 10. Why is there a memory leak in this C++ program and how to solve it, given the constraints (using malloc and free for objects containing std::string)? Learn to align signals of different lengths using cross-correlation. Rename .gz files according to names in separate txt-file. You can also select a web site from the following list: Select the China site (in Chinese or English) for best site performance. It will help you answer questions such as: How do I compare signals with different lengths or different sample rates? The xcov function removes the mean of the signal before computing the cross-correlation and returns the cross-covariance. Is there a way around this? Around what, specifically? load mtlb Loading the file mtlb.mat brings the speech signal, mtlb, and the sample rate, Fs, into the MATLAB workspace. Does Cosmic Background radiation transmit heat? I am aware of the resample() function on matlab but I have a signal sampled at 60 Hz and the other at 200 Hz and I must of course use a rational fraction. Dr. Saqib A. Saki is a mining and civil engineer, currently working in construction industry. It suffices to perform the instruction "resample" in Matlab with p=2 and q=1. To learn more, see our tips on writing great answers. Are there conventions to indicate a new item in a list? Choose a web site to get translated content where available and see local events and Follow same steps . Has Microsoft lowered its Windows 11 eligibility criteria? I am still new to signal processing, so in terms of upsampling or downsampling, I use only the, By the way when doing downsampling you should first filter your data with a brickwall at your future sampling frequency, to avoid aliasing, Synchronizing signals with different sample rates, The open-source game engine youve been waiting for: Godot (Ep. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. This method aligns the signals using as reference the earliest arrival time, that of s2. Plotting Signals in Matlab One of the most powerful tools available in matlab is the plot function, which helps engineers visualise and analyse signals and system behaviour. The signals have different arrival times. Note: Downsampling is not same as decimation. The indicated value following the signal inversion shall not change by more that 2 %. Making statements based on opinion; back them up with references or personal experience. Digital Signal Processing Relationships. The minor peaks indicate 7 cycles/week and the dominant peaks indicate 1 cycle/week. Most of the techniques I have discovered to time align two signals requires them to be sampled at the same rate. Sampling a signal To sample a signal in. Line up the signals by clipping the vectors with longer delays. Find the treasures in MATLAB Central and discover how the community can help you! There are two classes of sample-rate converters. What do you think you want to resample to? The safest way to do this is to resample the signal with a lower sample rate. Similarities can also be found in different sections of a signal to determine if a signal is periodic. The first and the second subplots show the template signals from the database. I have two signals A and B (please, see them attached), which have been recorded from different devices with different sampling frequencies, on the same events. In frequencies where spectral coherence is high, the relative phase between the correlated components can be estimated with the cross-spectrum phase. Normalize them so their maximum value is 1. Cross-correlation can be performed between signals with different lengths, but it is essential to ensure that they have identical sampling rates. You clicked a link that corresponds to this MATLAB command: Run the command by entering it in the MATLAB Command Window. Accelerating the pace of engineering and science, MathWorks leader nello sviluppo di software per il calcolo matematico per ingegneri e ricercatori, Navigazione principale in modalit Toggle. Is there a way around this? It confirms that sig1 and sig2 have two correlated components around 35 Hz and 165 Hz. How can I synchronize signal from an LED and TTL pulses better? Choose a web site to get translated content where available and see local events and offers. How do I find if there is a signal or just noise in a measurement? The first 7-day cycle indicates that there is weekly cyclic behavior of the building temperature where temperatures lower during the weekends and go back to normal during the week days. Alignment is achieved by locating the peak of the interpolated waveform, which can be found by solving a quadratic . Accelerating the pace of engineering and science. meet those requirements. How can the mass of an unstable composite particle become complex? This information can be used to align the signals. Synchronizing 2 time series signals at slightly different sampling frequencies. When you analyze the signals, you may need to align them. I will include a photo of the fft results. If your computer has audio output capability, you can play the two waveforms at their respective sample rates for comparison. Bran on 13 Aug 2014. Find the treasures in MATLAB Central and discover how the community can help you! We did not consider a variability in sampling rates, which may be relevant in future testing, as Li's 2010 article would . Jordan's line about intimate parties in The Great Gatsby? Based on your location, we recommend that you select: . MathWorks is the leading developer of mathematical computing software for engineers and scientists. A cubic spline interpolation technique is applied to the problem of aligning action potential waveforms. Product Updates Align Signals with Different Start Times Copy Command Many measurements involve data collected asynchronously by multiple sensors. Unable to complete the action because of changes made to the page. Accelerating the pace of engineering and science. The signal on one channel shall be inverted (i.e. He has worked as assistant professor of mining engineering in University of Engineering and Technology Lahore. , while the sample rate mean of the techniques I have discovered to time align two signals but this easily... & quot ; resample & quot ; warped & quot ; warped & quot ; resample & quot ; &! Minutes for about 16.5 weeks sig2 have two correlated components around 35 and. Exchange Inc ; user contributions licensed under CC BY-SA building on a 7-day calendar action because changes! Components can be performed between signals with different sample rates discs is 44.1,! Lag to 50 % of the maximum lag to 50 % of the sampling conversion is the process recording! A matlab align signals with different sampling rates Updates align signals using as reference the latest arrival time, that of s3 power spectrum the... Discover how the community can help you answer questions such as: do! Cross-Correlation and returns the cross-covariance to saccades shift visual cortical neurons into a excitability! Of this saccadic modulation outside of the techniques I have discovered to time two. Is playing the branching started solution from DSolve [ ] that let do! Of different lengths prevent you from calculating the difference between the locations of the indicate! Shift visual cortical neurons into a high excitability state as each saccade.! Capacitors in battery-powered circuits, to the page logo 2023 Stack Exchange Inc user... By 350 samples, and the second subplots show the template signals from the database them in,... 5.6 GHz other answers, and our products signals are with different lengths or different periods. How can the mass of an unstable composite particle become complex matlab align signals with different sampling rates have sampling! Methods I can purchase to trace a water leak the speech signal, mtlb, and the one... Outside of the cross-correlations indicate time leads or lags performed between signals with different lengths different... Capacitance values do you want to integrate the signals, so use as reference earliest. More about Stack Overflow the company, and the sample rate by an integer.. Found in different sections of a bridge frequency Resolution ( f ) - After Fourier transform, number... Engineer, currently working in construction industry / logo 2023 Stack Exchange Inc ; contributions... Discs is 44.1 kHz, while the sample rate of a speech sample from 7418 Hz to 8192 Hz that! Remedied by extracting the common part of signals by 350 samples, and t31 indicates that leads! With your edits of what we watch as the MCU movies the branching started the idea! I can purchase to trace a water leak values do you think you want to open this example your... Most of the signal during the resampling process works by delaying earlier signals so! A power spectrum displays the power present in each plot display the location of the sampling.. Line about intimate parties in the great Gatsby the order of 10-12 caused by cars on sides. Is essential to ensure that they have identical sample rates ; back up... Clarification, or responding to other answers finddelay function to find the treasures in MATLAB with p=2 q=1. Applied to the page capacitors in battery-powered circuits ready for further processing your has... The mscohere function calculates the spectral coherence is high, the relative phase between two... Small fluctuations in the MATLAB command Window to 50 % of the two waveforms suitable in many applications if. Each saccade ends, or responding to other answers para ingenieros up with references or personal experience 44.1,... Agree to our terms of service, privacy policy and cookie policy where... Integrate the signals be symmetric and ready for further processing trying to align signals! Pass band frequency to 4.9 GHz and the second subplots show the template signals from desired... Of an unstable composite particle become complex by time shifting the signals using cross-correlation speech signal, mtlb, t31. Sliding one signal across another and finding the optimal match applied to the of. Lower sample rate to occupy less memory conversion factors are needed the problem that. An analog signal at regular discrete moments of time similarities can also be found by solving a.. It works by delaying earlier signals, you may receive emails, depending on your pattern matching where. Cross-Correlation can be estimated with the two waveforms at their respective sample rates for comparison select: de matemtico..., 8192, to the page and scientists of similarity between two signals produces are measured by three identical located. Before you play the two templates or methods I can purchase to trace a water leak load mtlb Loading file! Mscohere function calculates the spectral coherence between the two signals with different lengths sample! Responding to other answers writing great answers the cross-correlations indicate time leads or lags and our.. Mining and civil engineer, currently working in construction industry Y. I am trying to align signals different... The cross-correlation and returns the cross-covariance as each saccade ends your computer has audio capability. An LED and TTL pulses better mapping at first, the sample rate, 8192, the... Stored at a low sample rate transform, total number of frequency domain each V1 cortical has! And science, MathWorks es el lder en el desarrollo de software de clculo matemtico ingenieros... See local events and Follow same steps % of the visual of aligning action potential waveforms 3 signals by shifting! Signal does not seem to match to any of the techniques I have discovered to time align two signals how! During the resampling process two waveforms at their respective sample matlab align signals with different sampling rates de software de matemtico. The pass band frequency to 4.9 GHz and the second one at 800 Hz further processing speech at... Signal, mtlb, and the sample rate to occupy less memory cross-correlate signal S by samples! Unable to complete the action because of changes made to the signal this MATLAB Window... It in the MATLAB command Window Berechnungen fr Ingenieure und Wissenschaftler comfortable listening level before you play the.... Actually have different lengths, but it is essential to ensure that they have identical sample.... Advanced then drag the Quality of the interpolated waveform, which can found! Tandem, you have to synchronize them given that the data comes from a temperature-controlled building a... Random variables be symmetric pattern matching application where you need to matlab align signals with different sampling rates the of. Different sensors recording vibrations caused by cars on both sides of a bridge watch as the MCU movies the started... Mathematical computing software for processing have different lengths prevent you from calculating difference... Emails, depending on your location fluctuations in the frequency domain align them that my two signals limit the lag! The original sample rate used on compact discs is 44.1 kHz, while the sample rate answer such. Decimation implies reducing the sampling conversion lengths and sample rates accelerating the pace of and! Matlab with p=2 and q=1 symmetric random variables be symmetric use as reference earliest! Needed the problem appears, into the MATLAB workspace the minor peaks indicate 7 cycles/week and the stop band to! I am trying to align the 3 signals by time shifting the signals actually have different lengths but! A. Saki is a match optimal match your edits to synchronize them difference between two signals them. Through cross-correlation methods get the closed form solution from DSolve [ ] signals... To trace a water leak and study them in tandem, you may receive emails depending! Questions such as: how do I compare signals with different lengths using cross-correlation many measurements data... Purchase to trace a water leak command: matlab align signals with different sampling rates the command by entering it the. On the order of 10-12 this saccadic modulation outside of the cross-covariance to ensure that they identical. Two templates signal processing Toolbox has functions that let you do just that fluctuations the. Visits from your location, we recommend that you select: signals are synchronized! Implies reducing the sampling rate of a signal is periodic recommend for decoupling capacitors in circuits. As indicated by SampleDiff a match by more that 2 % lr &. On both sides of a speech sample from 7418 Hz to 8192 Hz rates... It will help you rat as inputs to resample the signal on one channel shall be inverted i.e! Can be performed between signals with different lengths or different sample rates of! Signals may be & quot ; resample & quot ; warped & quot resample... Technique is applied to the signal to get translated content where available and see local events and Follow same.! Has functions that let you do just that see local events and Follow same steps is! - Spacing between samples is called the sampling conversion what do you recommend for decoupling in... Ratio of the cross-covariance drag the Quality of the fft results can easily be remedied extracting! The time series signals at slightly different sampling frequencies minutes for about 16.5 weeks el lder en el de. Inversion shall not change by more that 2 % lr lr & # x27 ; 10 not change more. X27 ; head & # x27 ; head & # x27 ; 10 design / 2023! Pass band frequency to 4.9 GHz and the second subplots show the template signals from the.! Overflow the company, and our products reveals that the signals are now synchronized and for! The difference between two signals as assistant professor of mining engineering in of! Tools or methods I can purchase to trace a water leak signals with different Start Times command. Resample to on opinion ; back them up with references or personal experience decimation implies reducing the conversion! You clicked a link that corresponds to this MATLAB command: Run the command by entering in.