Title: Explicit expression for the characteristic function of generalized legendre filters
Abstract:Abstract The explicit formula for the characteristic function of all‐pole lowpass filters with monotonic passband magnitude response is derived. It is shown that the characteristic function of Legendr...Abstract The explicit formula for the characteristic function of all‐pole lowpass filters with monotonic passband magnitude response is derived. It is shown that the characteristic function of Legendre, Halpern, LSM and other known classes of monotonic magnitude all‐pole filters that are synthesized from the magnitude squared function, can be obtained by assigning different values to a variable parameter in the general expression obtained. The approximation method consists of using a weighted least‐mean‐square norm to minimize the area under the first derivative of the characteristic function.Read More
Publication Year: 1978
Publication Date: 1978-10-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 8
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