Optimum second order digital filter
First Claim
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1. A second order digital filter comprising:
- a first delay element receiving an input signal r(n);
a first summing means receiving the signal r(n) and the output of said first delay element, and producing a summed output;
shift register means receiving the output of said first summing means and shifting the summed output a predetermined number of places;
a second delay element coupled to said first delay element, and;
a second summing means receiving the outputs from said shift register and said second delay element and producing a compensated output c(n), where ∇
2 c(n)=r(n)+k1 (r(n)-r(n-1))+k2 ((r(n)-r(n-1))-(r(n-1)-r(n-2)), wherein;
k1 and k2 are binary scalars, r(n) is the latest input sample, r(n-1) is the prior sample, r(n-2) is the second prior sample.
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Abstract
A second order digital filter utilizing six processor operations, two add instructions, two shift instructions and two store instructions. No multipliers are required. The filter is used as a digital filter in a servo loop having a Z transform of, G(Z)=4 (1-Z-1)+Z-2.
178 Citations
5 Claims
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1. A second order digital filter comprising:
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a first delay element receiving an input signal r(n); a first summing means receiving the signal r(n) and the output of said first delay element, and producing a summed output; shift register means receiving the output of said first summing means and shifting the summed output a predetermined number of places; a second delay element coupled to said first delay element, and; a second summing means receiving the outputs from said shift register and said second delay element and producing a compensated output c(n), where ∇
2 c(n)=r(n)+k1 (r(n)-r(n-1))+k2 ((r(n)-r(n-1))-(r(n-1)-r(n-2)), wherein;
k1 and k2 are binary scalars, r(n) is the latest input sample, r(n-1) is the prior sample, r(n-2) is the second prior sample. - View Dependent Claims (2, 3, 4, 5)
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4. The digital filter of claim 1 wherein said filter has a function in the dimensionless frequency plane w of:
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5. The digital filter of claim 4 wherein the Z transform is:
space="preserve" listing-type="equation">G(Z)=4(1-Z.sup.-1)+Z.sup.-2.
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Specification
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Current AssigneeLockheed Martin Corporation (Martin Marietta Corporation)
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Original AssigneeMartin Marietta Corporation
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InventorsOwen, William J., Booker, Robert A.
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Primary Examiner(s)Ruggiero, Joseph F.
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Application NumberUS06/105,489Time in Patent Office1,041 DaysField of Search364/724, 328/167, 333/165, 333/166, 333/18, 333/28 R, 333/167, 375/103, 455/63, 455/50US Class Current708/300CPC Class CodesH03H 17/04 Recursive filters
