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function varargout = impulseest(varargin)
// Estimate impulse response and plot of idpoly type model
//
// Calling Sequence
// impulseest(sys)
// impulseData = impulseest(sys,flag)
//
// Parameters
// sys : idpoly type polynomial
// flag : boolean type variable
// impulseData : stores impulse response if the flag value is true
//
// Description
// impulseest function estimate and plot the impulse response of idpoly type function.
//
// Examples
// a = [1 0.2];b = [0 0.2 0.3];
// sys = idpoly(a,b,'Ts',0.1)
// impulseest(sys);
//
// Examples
// a = [1 0.2];b = [0 0.2 0.3];
// sys = idpoly(a,b,'Ts',0.1)
// flag = %T
// impulseData = impulseest(sys,flag)
//
// Authors
// Ashutosh Kumar Bhargava
[lhs,rhs] = argn(0)
// checking the number of inputs
if rhs > 2 then
error(msprintf(gettext("%s: Unexpected number of input arguments "),"impulseest"))
end
modelData = varargin(1)
if typeof(modelData) <> "idpoly" then
error(msprintf(gettext("%s: Plant model must be ""idpoly"" type. "),"impulseest"))
end
// adding noise
if rhs == 2 then
noiseFlag = varargin(2)
if typeof(noiseFlag) <> 'boolean' then
error(msprintf(gettext("%s: Last input data must be ""boolean"".type "),"impulseest"))
end
else
noiseFlag = %F
end
z = poly(0,'z')
aPoly = poly(modelData.a(length(modelData.a):-1:1),'z','coeff')
bPoly = poly(modelData.b,'z','coeff')
fPoly = poly(modelData.f(length(modelData.f):-1:1),'z','coeff')
afPoly = aPoly*fPoly
bCoeff = modelData.b
extra = 1
if ~bCoeff(1,1) then
afCoeff = coeff(afPoly)
bLength = length(bCoeff);afLength = length(afCoeff)
if bLength == afLength then
extra = 1
else
extra = z^-(bLength-afLength)
end
end
bPoly = poly(modelData.b(length(modelData.b):-1:1),'z','coeff')
sys = syslin('d',bPoly,afPoly)*extra
if size(find(gsort(abs(roots(sys.den)))>1),'*') then
tempRoot = clean(roots(sys.den))
[sorted index] = gsort(abs(real(tempRoot)))
tempRoot = tempRoot(index)
n = 26/log10(abs(real(tempRoot(1))))
else
finalValue = horner(sys,1)*1
n = 10
tempValue = sum(ldiv(sys.num,sys.den,n))
if finalValue >= 0 then
while finalValue*0.99 >= tempValue || n >=1000
n = n+5
tempValue = sum(ldiv(sys.num,sys.den,n))
end
elseif finalValue < 0 then
while finalValue*0.99 <tempValue || n >=1000
n = n+5
tempValue = sum(ldiv(sys.num,sys.den,n))
end
if n > 100 then
n = 100
end
end
end
uData = [1 zeros(1,n)]
yData = flts(uData,sys)
timeData = (0:(n))*modelData.Ts
// pause
if noiseFlag then
varargout(1) = yData'
else
stem(timeData,yData)
h = gcf()
h.figure_name= "Plant Impulse Response"
varargout(1) = []
end
endfunction
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