An L/sub 2/-based method for the design of 1-D zero phase FIR digital filters

Approximation of signals of class Lip(α,p) by linear operators

“…These approximations have assumed important new dimensions due to their wide applications in signal analysis [12], in general and in digital signal processing [13] in particular, in view of the classical Shannon sampling theorem.…”

“…p = 1,0 < a < 1. Using (13), conditions (11), (12), convention a n,n + 1 = 0, Abel's transformation and the result of Quade [15] cited in the introduction, we obtain…”

Approximation of signals (functions) belonging to the weighted W(Lp, ξ(t))‐class by linear operators

“…Mittal [3], Mittal and Rhoades [4][5][6], and Mittal et al [7] have obtained many interesting results on TFA (these approximations have assumed important new dimensions due to their wide application in signal analysis [10] in general, and in digital signal processing [11] in particular, in view of the classical Shannon sampling theorem), using summability methods without monotonicity on the rows of the matrix T. In this paper, we extend Theorem 2.6 to matrix (linear) operators and generalize Theorem 2.7 for functions of the weighted class W(L p ,ξ(t)). We prove the following theorem.…”

Degree of Approximation of Functionsf~∈HωClass by the(Np·Mishra1 2014International Journal of Mathematics and Mathematical Sciences7030View full textAdd to dashboardCite

“…As mentioned in [21], the space in general and 2 and ∞ in particular play an important role in the theory of signals and filters. From the point of view of the applications, sharper estimates of infinite matrices [25] …”

“…The engineers and scientists use properties of Fourier approximation for designing digital filters. Especially, Psarakis and Moustakides [21] presented a new 2 based method for designing the finite impulse response (FIR) digital filters and got corresponding optimum approximations having improved performance. We also discuss an example when the Fourier series of the signal has Gibbs phenomenon.…”