denormalize(hq) reverses the coefficient changes you make when you use normalize with hq. The filter coefficients do not change if you call denormalize(hq) before you use normalize(hq). Calling denormalize more than once on a filter does not change the coefficients after the first denormalize call.

Examples

Make a quantized filter hq and normalize the filter coefficients. After normalizing the coefficients, restore them to their original values by reversing the effects of the normalize function.

d=fdesign.highpass('n,F3dB',14,0.45)
 
d =
 
               Response: 'Highpass'                      
          Specification: 'N,F3dB'                        
            Description: {'Filter Order';'3dB Frequency'}
    NormalizedFrequency: true                            
            FilterOrder: 14                              
                   F3dB: 0.45       
hd =design(d,'butter');
 
       
hd.arithmetic='fixed'
 hd =
 
         FilterStructure: 'Direct-Form II, Second-Order Sections'                                                                                 
              Arithmetic: 'fixed'                                                                                                                 
               sosMatrix: [7x6 double]                                                                                                            
             ScaleValues: [0.5206298828125;0.436004638671875;0.3790283203125;0.3404541015625;0.31488037109375;0.29925537109375;0.29180908203125;1]
     OptimizeScaleValues: true                                                                                                                    
        PersistentMemory: false                                                                                                                   
                                                                                                                                                  
         CoeffWordLength: 16             
          CoeffAutoScale: true           
                  Signed: true           
                                         
         InputWordLength: 16             
         InputFracLength: 15             
                                         
  SectionInputWordLength: 16             
   SectionInputAutoScale: true           
                                         
 SectionOutputWordLength: 16             
  SectionOutputAutoScale: true           
                                         
        OutputWordLength: 16             
              OutputMode: 'AvoidOverflow'
                                         
         StateWordLength: 16             
         StateFracLength: 15             
                                         
             ProductMode: 'FullPrecision'
                                         
               AccumMode: 'KeepMSB'      
         AccumWordLength: 40             
           CastBeforeSum: true           
                                         
               RoundMode: 'convergent'   
            OverflowMode: 'wrap'         

g=normalize(hd)';

g =

     2     2     2     2     2     2     2

hd.sosMatrix

ans =

    0.5000   -1.0000    0.5000    1.0000   -0.2817    0.8008
    0.5000   -1.0000    0.5000    1.0000   -0.2359    0.5081
    0.5000   -1.0000    0.5000    1.0000   -0.2051    0.3110
    0.5000   -1.0000    0.5000    1.0000   -0.1842    0.1776
    0.5000   -1.0000    0.5000    1.0000   -0.1704    0.0892
    0.5000   -1.0000    0.5000    1.0000   -0.1619    0.0350
    0.5000   -1.0000    0.5000    1.0000   -0.1579    0.0093
denormalize(hd)
hd.sosMatrix

ans =

    1.0000   -2.0000    1.0000    1.0000   -0.2817    0.8008
    1.0000   -2.0000    1.0000    1.0000   -0.2359    0.5081
    1.0000   -2.0000    1.0000    1.0000   -0.2051    0.3110
    1.0000   -2.0000    1.0000    1.0000   -0.1842    0.1776
    1.0000   -2.0000    1.0000    1.0000   -0.1704    0.0892
    1.0000   -2.0000    1.0000    1.0000   -0.1619    0.0350
    1.0000   -2.0000    1.0000    1.0000   -0.1579    0.0093

denormalize - Undo filter coefficient and gain changes caused by normalize

Syntax

Description

Examples

See Also

denormalize - Undo filter coefficient and gain changes caused by `normalize`