For given reconstructional low-pass filters, the general solutions of matrix equation M̃(ξ)M∗(ξ) = I for the construction of orthogonal or biorthogonal wavelet filter banks are presented.

Two methods of obtaining low-pass digital filter functions with equiripple loss in the stopband and prescribed poles have been described recently, It is shown that both methods give the same filter functions even though the approaches are different.

In the next two lectures, we will describe some basic techniques for designing filters which amplify or attenuate certain frequencies. Our discussion will focus mostly on the design of low-pass filters, but many of the techniques we describe are general, and can be used to design filters with other characteristics, including band-pass and high-pass filters. Filter design is a vast area, and our...

The purpose of this paper is to design a microstrip patch antenna with low pass filter for efficient rectenna design this structure having the property of rejecting higher harmonics than 2GHz. As the design frequency is 2GHz.in first step we design a patch antenna in second step we design patch antenna with low pass filter and combine these two. The IE3D software is used for the simulation of t...

This paper discusses the behavior of the second-order modes (Hankel singular values) of linear continuous-time systems under typical frequency transformations, such as lowpass-lowpass, lowpasshighpass, lowpass-bandpass, and lowpass-bandstop transformations. Our main result establishes the fact that the second-order modes are invariant under any of these typical frequency transformations. This m...

The paper briefly describes the basics of frequency filter design method using synthetic immittance elements with current conveyors. An introduction of the paper explains the advantages and also disadvantages of using this method. Other chapters briefly introduce a design process of simple second order lowpass and high-pass filter. A theory of current conveyors is discussed too, because they ar...

Chebyshev functions, which are equiripple in a certain domain, are used to generate equiripple halfband lowpass frequency responses. Inverse Fourier transformation is then used to obtain explicit formulas for the corresponding impulse responses. The halfband lowpass FIR digital filters designed in this way are quasi-equiripple, having performances very close to those of true equiripple filters,...

Gaussian or Gaussian derivative filtering is in several ways optimal for applications requiring low-pass filters or running averages. For short filters with lengths of a dozen samples or so, direct convolution with a finite-length approximation to a Gaussian is the best implementation. However, for longer filters such as those used in computing running averages, recursive implementations may be...

In the next two lectures, we will describe some basic techniques for designing filters which amplify or attenuate certain frequencies. Our discussion will focus mostly on the design of low-pass filters, but many of the techniques we describe are general, and can be used to design filters with other characteristics, including band-pass and high-pass filters. Filter design is a vast area, and our...

The purpose of this paper is to design a microstrip patch antenna with low pass filter for efficient rectenna design this structure having the property of rejecting higher harmonics than 2GHz. As the design frequency is 2GHz.in first step we design a patch antenna in second step we design patch antenna with low pass filter and combine these two. The IE3D software is used for the simulation of t...