Documentation 
Open Filter Visualization Tool
fvtool(b,a)
fvtool(sos)
fvtool(d)
fvtool(b1,a1,b2,a2,...bN,aN)
fvtool(sos1,sos2,...,sosN)
fvtool(Hd)
fvtool(Hd1,Hd2,...,HdN)
h = fvtool(...)
fvtool(b,a) opens FVTool and displays the magnitude response of the digital filter defined with numerator, b and denominator, a. Using FVTool you can display the phase response, group delay, impulse response, step response, polezero plot, and coefficients of the filter. You can export the displayed response to a file with File > Export.
Note: If the input to fvtool is single precision, the magnitude response is calculated using singleprecision arithmetic. 
fvtool(sos) opens FVTool and displays the magnitude response of the digital filter defined by the matrix of second order sections, sos. sos is a Kby6 matrix, where the number of sections, K, must be greater than or equal to 2. If the number of sections is less than 2, fvtool considers the input to be a numerator vector. Each row of sos corresponds to the coefficients of a second order (biquad) filter. The ith row of the sos matrix corresponds to [bi(1) bi(2) bi(3) ai(1) ai(2) ai(3)].
fvtool(d) opens FVTool and displays the magnitude response of a digital filter, d. Use designfilt to generate d based on frequencyresponse specifications.
fvtool(b1,a1,b2,a2,...bN,aN) opens FVTool and displays the magnitude responses of multiple filters defined with numerators, b1, …, b1N and denominators, a1...aN.
fvtool(sos1,sos2,...,sosN) opens FVTool and displays the magnitude responses of multiple filters defined with second order section matrices, sos1, sos2, ...sosN.
fvtool(Hd) opens FVTool and displays the magnitude responses for the dfilt filter object, Hd, or the array of dfilt filter objects.
fvtool(Hd1,Hd2,...,HdN) opens FVTool and displays the magnitude responses of the filters in the dfilt objects Hd1, Hd2, ...HdN.
If you have the DSP System Toolbox™ product installed, you can also use fvtool(H) and fvtool(H_{1},H_{2},...) to analyze:
Quantized filter objects (dfilt with arithmetic set to 'single' or 'fixed')
Multirate filter (mfilt) objects
Adaptive filter (adaptfilt) objects
Any of the following filter System objects.
The following Filter System objects are supported by this analysis function:
When the input filter is a dfilt or mfilt object, FVTool performs fixedpoint analysis if the arithmetic property of the filter objects is set to 'fixed'. However, for filter System objects, fvtool(H,'Arithmetic',ARITH,...) analyzes H, based on the arithmetic specified in the ARITH input.
ARITH can be one of 'double', 'single', or 'fixed'. The 'Arithmetic' input is only relevant for the analysis of filter System objects. The arithmetic setting ARITH, applies to all the filter System objects that you input to fvtool. When you specify 'double' or 'single', the function performs double or singleprecision analysis. When you specify 'fixed' , the arithmetic changes depending on the setting of the CoefficientDataType property and whether the System object is locked or unlocked.
Details for FixedPoint Arithmetic
If you do not specify the arithmetic for nonCIC structures, and the System object is in an unlocked state, the function uses doubleprecision arithmetic. If the System object is locked, the function performs analysis based on the locked input data type. CIC structures only support fixedpoint arithmetic.
Analysis methods noisepsd and freqrespest have behavior restrictions in fvtool. To see the rules, click the links to these methods.
h = fvtool(...) returns a figure handle h. You can use this handle to interact with FVTool from the command line. See Controlling FVTool from the MATLAB Command Line.
FVTool has two toolbars.
An extended version of the MATLAB^{®} plot editing toolbar. The following table shows the toolbar icons specific to FVTool.
Icon  Description 

Restore default view. This view displays buffer regions around the data and shows only significant data. To see the response using standard MATLAB plotting, which shows all data values, use View > Full View.  
Toggle legend  
Toggle grid  
Link to FDATool (appears only if FVTool was started from FDATool)  
 Toggle Add mode/Replace mode (appears only if FVTool was launched from FDATool) 
Analysis toolbar with the following icons
Magnitude response of the current filter. See freqz and zerophase for more information. To see the zerophase response, rightclick the yaxis label of the Magnitude plot and select Zerophase from the context menu.  
Phase response of the current filter. See phasez for more information.  
Superimposes the magnitude response and the phase response of the current filter. See freqz for more information.  
Shows the group delay of the current filter. Group delay is the average delay of the filter as a function of frequency. See grpdelay for more information.  
Shows the phase delay of the current filter. Phase delay is the time delay the filter imposes on each component of the input signal. See phasedelay for more information.  
Impulse response of the current filter. The impulse response is the response of the filter to a impulse input. See impz for more information.  
Step response of the current filter. The step response is the response of the filter to a step input. See stepz for more information.  
Polezero plot, which shows the pole and zero locations of the current filter on the zplane. See zplane for more information.  
Filter coefficients of the current filter, which depend on the filter structure (e.g., directform, lattice, etc.) in a text box. For SOS filters, each section is displayed as a separate filter.  
Detailed filter information. 
In fdatool, selecting View > Filter Visualization Tool or the Full View Analysis toolbar button when an analysis is displayed starts FVTool for the current filter. You can synchronize FDATool and FVTool with the FDAToolLink toolbar button . Any changes made to the filter in FDATool are immediately reflected in FVTool.
Two FDATool link modes are provided via the Set Link Mode toolbar button:
Replace — removes the filter currently displayed in FVTool and inserts the new filter.
Add — retains the filter currently displayed in FVTool and adds the new filter to the display.
You can change the x or yaxis units by rightclicking the mouse on the axis label or by rightclicking on the plot and selecting Analysis Parameters. Available options for the axes units are as follows.
Plot  XAxis Units  YAxis Units  

Magnitude 

 
Phase 

 
Magnitude and Phase 
 (yaxis on left side)
(yaxis on right side)
 
Group Delay 

 
Phase Delay 

 
Impulse Response 
 Amplitude  
Step Response 
 Amplitude  
PoleZero  Real Part  Imaginary Part 
You can use any of the plot editing toolbar buttons to change the properties of your plot.
Analysis Parameters are parameters that apply to the displayed analyses. To display them, rightclick in the plot area and select Analysis Parameters from the menu. (Note that you can access the menu only if the Edit Plot button is inactive.) The following analysis parameters are displayed. (If more than one response is displayed, parameters applicable to each plot are displayed.) Not all of these analysis fields are displayed for all types of plots:
Normalized Frequency — if checked, frequency is normalized between 0 and 1, or if not checked, frequency is in Hz
Frequency Scale — yaxis scale (Linear or Log)
Frequency Range — range of the frequency axis or Specify freq. vector
Number of Points — number of samples used to compute the response
Frequency Vector — vector to use for plotting, if Specify freq. vector is selected in Frequency Range.
Magnitude Display — yaxis units (Magnitude, Magnitude (dB), Magnitude squared, or ZeroPhase)
Phase Units — yaxis units (Degrees or Radians)
Phase Display — type of phase plot (Phase or Continuous Phase)
Group Delay Units — yaxis units (Samples or Time)
Specify Length — length type of impulse or step response (Default or Specified)
Length — number of points to use for the impulse or step response
In addition to the above analysis parameters, you can change the plot type for Impulse and Step Response plots by rightclicking and selecting Line with Marker, Stem or Line from the context menu. You can change the xaxis units by rightclicking the xaxis label and selecting Samples or Time.
To save the displayed parameters as the default values to use when FDATool or FVTool is opened, click Save as default.
To restore the default values, click Restore original defaults.
Data tips display information about a particular point in the plot. See Display Data Values Interactively in the MATLAB documentation for information on data tips.
If you have the DSP System Toolbox software, FVTool displays a specification mask along with your designed filter on a magnitude plot.
Note To use View > Passband zoom, your filter must have been designed using fdesign or FDATool. Passband zoom is not provided for cascaded integratorcomb (CIC) filters because CICs do not have conventional passbands. 
You can overlay a second response on the plot by selecting Analysis > Overlay Analysis and selecting an available response. A second yaxis is added to the right side of the response plot. The Analysis Parameters dialog box shows parameters for the xaxis and both yaxes. See Example 2 for a sample Analysis Parameters dialog box.
After you obtain the handle for FVTool, you can control some aspects of FVTool from the command line. In addition to the standard Handle Graphics^{®} properties (see Handle Graphics in the MATLAB documentation), FVTool has the following properties:
'Analysis' — displays the specified type of analysis plot. The following table lists the analyses and corresponding analysis strings. Note that the only analyses that use filter internals are magnitude response estimate and roundoff noise power, which are available only with the DSP System Toolbox product.
Analysis Type  Analysis String 

Magnitude plot  'magnitude' 
Phase plot  'phase' 
Magnitude and phase plot  `freq' 
Group delay plot  'grpdelay' 
Phase delay plot  `phasedelay' 
Impulse response plot  'impulse' 
Step response plot  'step' 
Polezero plot  'polezero' 
Filter coefficients  'coefficients' 
Filter information  'info' 
Magnitude response estimate (available only with the DSP System Toolbox product, see freqrespest for more information)  'magestimate' 
Roundoff noise power (available only with the DSP System Toolbox product, see noisepsd for more information)  'noisepower' 
'Grid' — controls whether the grid is 'on' or 'off'
'Legend' — controls whether the legend is 'on' or 'off'
'Fs' — controls the sampling frequency of filters in FVTool. The sampling frequency vector must be of the same length as the number of filters or a scalar value. If it is a vector, each value is applied to its corresponding filter. If it is a scalar, the same value is applied to all filters.
SosViewSettings — (This option is available only if you have the DSP System Toolbox product.) For secondorder sections filters, this controls how the filter is displayed. The SOSViewSettings property contains an object so you must use this syntax to set it: set(h.SOSViewSettings,'View',viewtype), where viewtype is one of the following:
'Complete' — Displays the complete response of the overall filter
'Individual' — Displays the response of each section separately
'Cumulative' — Displays the response for each section accumulated with each prior section. If your filter has three sections, the first plot shows section one, the second plot shows the accumulation of sections one and two, and the third plot show the accumulation of all three sections.
You can also define whether to use SecondaryScaling, which determines where the sections should be split. The secondary scaling points are the scaling locations between the recursive and the nonrecursive parts of the section. The default value is false, which does not use secondary scaling. To turn on secondary scaling, use this syntax: set(h.SOSViewSettings,'View','Cumulative',true)
'UserDefined' — Allows you to define which sections to display and the order in which to display them. Enter a cell array where each section is represented by its index. If you enter one index, only that section is plotted. If you enter a range of indices, the combined response of that range of sections is plotted. For example, if your filter has four sections, entering {1:4} plots the combined response for all four sections, and entering {1,2,3,4} plots the response for each section individually.
Note You can change other properties of FVTool from the command line using the set function. Use get(h) to view property tags and current property settings. 
You can use the following methods with the FVTool handle.
addfilter(h,filtobj) adds a new filter to FVTool. The new filter, filtobj, must be a dfilt filter object. You can specify the sampling frequency of the new filter with addfilter(h,filtobj,'Fs',10).
setfilter(h,filtobj) replaces the filter in FVTool with the filter specified in filtobj. You can set the sampling frequency as described above.
deletefilter(h, index) deletes the filter at the FVTool cell array index location.
legend(h,str1,str2,...) creates a legend in FVTool by associating str1 with filter 1, str2 with filter 2, etc. See legend in the MATLAB documentation for information.
Display the magnitude response of an elliptic filter, starting FVTool from the command line:
[b,a] = ellip(6,3,50,300/500); fvtool(b,a);
Display and analyze multiple FIR filters, starting FVTool from the command line. Then, display the associated analysis parameters for the magnitude:
b1 = firpm(20,[0 0.4 0.5 1],[1 1 0 0]); b2 = firpm(40,[0 0.4 0.5 1],[1 1 0 0]); fvtool(b1,1,b2,1);
Create a lowpass, equiripple filter of order 20 in FDATool and display it in FVTool.
fdatool % Start FDATool
Set these parameters in fdatool:
Parameter  Setting 

Response Type  Lowpass 
Design Method: FIR  Equiripple 
Filter Order: Specify order  20 
Options: Density Factor  16 
Frequency Specifications: Units  Normalized (0 to 1) 
wpass  0.4 
wstop  0.5 
Magnitude Specifications: Wpass and Wstop  1 
and then click the Design Filter button.
Click the Full View Analysis button to start FVTool.
Create an elliptic filter and use some of FVTool's figure handle commands:
[b,a]=ellip(6,3,50,300/500); h = fvtool(b,a); % Create handle, h and start FVTool % with magnitude plot
set(h,'Analysis','phase') % Change display to phase plot
set(h,'Legend','on') % Turn legend on legend(h,'Phase plot') % Add legend text
get(h) % View all properties % FVToolspecific properties are % at the end of this list. AlphaMap: [1x64 double] CloseRequestFcn: 'closereq' Color: [0.8314 0.8157 0.7843] ColorMap: [64x3 double] CurrentAxes: 208.0084 CurrentCharacter: '' CurrentObject: [] CurrentPoint: [0 0] DockControls: 'on' DoubleBuffer: 'on' FileName: '' FixedColors: [11x3 double] IntegerHandle: 'on' InvertHardcopy: 'on' KeyPressFcn: '' MenuBar: 'none' MinColormap: 64 Name: 'Filter Visualization Tool  Phase Response' NextPlot: 'new' NumberTitle: 'on' PaperUnits: 'inches' PaperOrientation: 'portrait' PaperPosition: [0.2500 2.5000 8 6] PaperPositionMode: 'manual' PaperSize: [8.5000 11] PaperType: 'usletter' Pointer: 'arrow' PointerShapeCData: [16x16 double] PointerShapeHotSpot: [1 1] Position: [360 292 560 345] Renderer: 'painters' RendererMode: 'auto' Resize: 'on' ResizeFcn: '' SelectionType: 'normal' Toolbar: 'auto' Units: 'pixels' WindowButtonDownFcn: '' WindowButtonMotionFcn: '' WindowButtonUpFcn: '' WindowStyle: 'normal' BeingDeleted: 'off' ButtonDownFcn: '' Children: [15x1 double] Clipping: 'on' CreateFcn: '' DeleteFcn: '' BusyAction: 'queue' HandleVisibility: 'on' HitTest: 'on' Interruptible: 'on' Parent: 0 Selected: 'off' SelectionHighlight: 'on' Tag: 'filtervisualizationtool' UIContextMenu: [] UserData: [] Visible: 'on' AnalysisToolbar: 'on' FigureToolbar: 'on' Grid: 'on' Legend: 'on' DesignMask: 'off' Fs: 1 SOSViewSettings: [1x1 dspopts.sosview] Analysis: 'phase' OverlayedAnalysis: '' ShowReference: 'on' PolyphaseView: 'off' NormalizedFrequency: 'on' FrequencyScale: 'Linear' FrequencyRange: '[0, pi)' NumberofPoints: 8192 FrequencyVector: [1x256 double] PhaseUnits: 'Radians' PhaseDisplay: 'Phase'
designfilt  digitalFilter  fdatool  sptool