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hd = double(h)
hd = double(h) returns a new filter hd that has the same structure and coefficients as h, but whose arithmetic property is set to double to use double-precision arithmetic for filtering. double(h) is not the same as the reffilter(h) function:
hd, the filter returned by double has the quantized coefficients of h represented in double-precision floating-point format
The reference filter returned by reffilter has double-precision, floating-point coefficients that have not been quantized.
You might find double(h) useful to isolate the effects of quantizing the coefficients of a filter by using double to create a filter hd that operates in double-precision but uses the quantized filter coefficients.
Use the same filter, once with fixed-point arithmetic and once with floating-point, to compare fixed-point filtering with double-precision floating-point filtering.
h = dfilt.dffir(firgr(27,[0 .4 .6 1],...
[1 1 0 0])); % Lowpass filter.
% Set h to use fixed-point arithmetic to filter.
% Quantize the coeffs.
h.arithmetic = 'fixed';
hd = double(h); % Cast h to double-precision
% floating-point coefficients.
n = 0:99; x = sin(0.7*pi*n(:)); % Set up an input signal.
y = filter(h,x); % Fixed-point output.
yd = filter(hd,x); % Floating-point output.
norm(yd-double(y),inf)
ans =
9.2014e-004norm shows that the largest difference (maximum error) between the output values from the fixed versus floating filtering comparison is about 0.0009 — either good or less good depending on your application.
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Learn how to apply early verification to your development process through these technical resources.
How much time do you spend on testing to ensure implementation meets system-level requirements?
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