Hartley transform

In this paper, we study four cases of the Toeplitz plus Hankel integro - differential equations and general integro - differential equation. These equations can be solved in closed form using new convolutions and well-known convolutions. The obtained results were the expansions of these equation types.

13p tamynhan5 10-12-2020 9 1   Download

Examples of Discrete Transforms In this chapter we discuss the most important fixed discrete transforms. We start with the z-transform, whichis a fundamental tool for describing the input/output relationships in linear time-invariant (LTI) systems. Then we discuss several variants of Fourier series expansions, namely the discrete-time Fourier transform, thediscrete Fourier transform (DFT), and the Fourier fast transform (FFT).

26p doroxon 12-08-2010 85 3   Download

Integral Signal Represent at ions The integral transform is one of the most important tools in signal theory. The best known example is the Fourier transform,buttherearemany other transforms of interest. In the following, W will first discuss the basic concepts of integral transforms. Then we will study the Fourier, Hartley, and Hilbert transforms. Finally, we will focus on real bandpass processes and their representation by means of their complex envelope.

25p doroxon 12-08-2010 81 2   Download