Nearly monotonic passband low‐pass filter design by using sum‐of‐squared Legendre polynomials

Živaljević, Dragana; Stamenković, Negovan; Stojanović, Vidosav

doi:10.1002/cta.2068

Cited by 3 publications

(2 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In addition, all monotonic filters yield much smaller passband insertion loss than the Halpern filters, but the Halpern filters are only of academic interest or for comparison with other types of monotonic filters [18]. Recently, low-pass filters having nearly monotonic (NM) passband magnitude response, designed by using the sum-of-square Legendre polynomials, have been proposed [19]. These filters have smaller passband magnitude distortion comparing with the L-filters, but both filters have similar performance in the stopband.…”

Section: Introductionmentioning

confidence: 99%

Monotonic, critical monotonic, and nearly monotonic low‐pass filters designed by using the parity relation for Jacobi polynomials

Stojanović

Stamenković²,

Živaljević

2017

Circuit Theory & Apps

Self Cite

View full text Add to dashboard Cite

A new class of continuous-time low-pass filter using a set of Jacobi polynomials, with all transmission zeros at infinity, is described. The Jacobi polynomial has been adapted by using the parity relation for Jacobi polynomials in order to be used as a filter approximating function. The resulting class of polynomials is referred to as a pseudo Jacobi polynomials, because they are not orthogonal. The obtained magnitude response of these filters is more general than the magnitude response of the classical ultraspherical filter, because of one additional degree of freedom available in pseudo Jacobi polynomials. This additional parameter may be used to obtain a magnitude response having either smaller passband ripples or sharper cutoff slope. Monotonic, critical monotonic, or nearly monotonic passband filter approximating functions can be also generated. It is shown that proposed pseudo Jacobi polynomial filter approximation also includes the Chebyshev filter of the first kind, the Chebyshev filter of the second kind, the Legendre filter, and many transitional filter approximations, as its special cases. Several examples are presented, and detailed formulas including the practical suggestions for their efficient implementation are also provided. The proposed nearly monotonic filter is compared with the least-square-monotonic filters, designed as critical monotonic, in details. The advantages of the new filters are discussed.

show abstract

Section: Introductionmentioning

confidence: 99%

Monotonic, critical monotonic, and nearly monotonic low‐pass filters designed by using the parity relation for Jacobi polynomials

Stojanović

Stamenković²,

Živaljević

2017

Circuit Theory & Apps

Self Cite

View full text Add to dashboard Cite

show abstract

“…Recently, low pass filters having nearly monotonic pass-band magnitude response, designed by using the sum-of-square Legendre polynomials, have been proposed [7]. These filters have smaller pass-band magnitude distortion comparing to Legendre-Papoulis filters, but both filters have similar performance in the stop-band.…”

Section: Introductionmentioning

confidence: 99%