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Constrain coefficient wordlength


Hq = constraincoeffwl(Hd,wordlength)
Hq = constraincoeffwl(Hd,wordlength,'Ntrials',N)
Hq = constraincoeffwl(Hd,wordlength,...,'NoiseShaping',NSFlag)
Hq = constraincoeffwl(Hd,wordlength,...,'Apasstol',Apasstol)
Hq = constraincoeffwl(Hd,wordlength,...,'Astoptol',Astoptol)


Hq = constraincoeffwl(Hd,wordlength) returns a fixed-point filter Hq meeting the design specifications of the single-stage or multistage FIR filter object Hd with a wordlength of at most wordlength bits. For multistage filters, wordlength can either be a scalar or vector. If wordlength is a scalar, the same wordlength is used for all stages. If wordlength is a vector, each stage uses the corresponding element in the vector. The vector length must equal the number of stages. Hd must be generated using fdesign and design. constraincoeffwl uses a stochastic noise-shaping procedure by default to minimize the wordlength. To obtain repeatable results on successive function calls, initialize the uniform random number generator rand

Hq = constraincoeffwl(Hd,wordlength,'Ntrials',N) specifies the number of Monte Carlo trials to use. Hq is first filter among the trials to meet the specifications in Hd with a wordlength of at most wordlength.

Hq = constraincoeffwl(Hd,wordlength,...,'NoiseShaping',NSFlag) enables or disables the stochastic noise-shaping procedure in the constraint of the wordlength. By default NSFlag is true. Setting NSFlag to false constrains the wordlength without using noise-shaping.

Hq = constraincoeffwl(Hd,wordlength,...,'Apasstol',Apasstol) specifies the passband ripple tolerance in dB. 'Apasstol' defaults to 1e-4.

Hq = constraincoeffwl(Hd,wordlength,...,'Astoptol',Astoptol) specifies the stopband tolerance in dB. 'Astoptol' defaults to 1e-2

You must have the Fixed-Point Designer™ software installed to use this function.


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Design fixed-point filter with a wordlength of at most 11 bits using constraincoeffwl

Hf = fdesign.lowpass('Fp,Fst,Ap,Ast',.4,.5,1,60);
Hd = design(Hf,'equiripple'); % 43 coefficients
Hq = constraincoeffwl(Hd,11); % 45 11-bit coefficients
hfvt = fvtool(Hd,Hq);
legend(hfvt,'Floating-point Filter','Fixed-point Filter');

Related Examples

Introduced in R2011a

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