Shortening impulse reponse fliter (SIRF) and design technique therefor
First Claim
1. A method for determining coefficient values for a shortening impulse response filter (SIRF), said method comprising the steps of:
- establishing at least one set defining constraints that said SIRF filter must satisfy in a time domain;
establishing at least one set defining constraints that said SIRF filter must satisfy in a frequency domain; and
determining an intersecting set of said at least one set defining said time domain constraints and said at least one set defining said frequency domain constraints.
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Abstract
Shortening impulse response filters (SIRF) are disclosed that satisfy constraints in both the time and frequency domains. In addition, methods and apparatus are disclosed for determining the coefficient values for SIRF filters. The disclosed SIRF filters shorten the channel impulse response in the time domain while also providing a frequency response that does not attenuate or amplify the received signal. One or more sets define constraints that the SIRF filter must satisfy in the time domain, and one or more sets define constraints that the SIRF filter must satisfy in the frequency domain. By varying the sets utilized to define the time and frequency domain constraints, SIRF filters having a linear or non-linear phase response may be obtained. The intersection of the various sets defines the coefficients for the SIRF filters. Vector space projection methods are utilized to determine the intersection set.
27 Citations
28 Claims
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1. A method for determining coefficient values for a shortening impulse response filter (SIRF), said method comprising the steps of:
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establishing at least one set defining constraints that said SIRF filter must satisfy in a time domain;
establishing at least one set defining constraints that said SIRF filter must satisfy in a frequency domain; and
determining an intersecting set of said at least one set defining said time domain constraints and said at least one set defining said frequency domain constraints. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10)
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11. A shortening impulse response filter (SIRF), comprising:
a set of finite impulse response (FIR) coefficients satisfying at least one constraint in a time domain and at least one constraint in a frequency domain, wherein said at least one time domain constraint is represented as at least one first set and wherein said at least one frequency domain constraint is represented as at least one second set, wherein said finite impulse response (FIR) coefficients are determined by an intersecting set of said at least one set defining said time domain constraints and said at least one set defining said frequency domain constraints. - View Dependent Claims (12, 13, 14, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27, 28)
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19. A system for determining coefficient values for a shortening impulse response filter (SIRF), said system comprising:
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a memory that stores computer-readable code; and
a processor operatively coupled to said memory, said processor configured to implement said computer-readable code, said computer-readable code configured to;
establish at least one set defining constraints that said SIRF filter must satisfy in a time domain;
establish at least one set defining constraints that said SIRF filter must satisfy in a frequency domain; and
determine an intersecting set of said at least one set defining said time domain constraints and said at least one set defining said frequency domain constraints.
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Specification