Singal processing and linear systems + Matlab Essay

Singal processing and one-dimensional administrations + Matlab - Essay ExampleThe square wave response of a dynamic system measures how the dynamic system responds when a square wave is utilize to its input. Generally a unit step function is applied defined by the following equationLaplace transform and Fourier transform both are use for compend of aperiodic presages. Laplace yields the result in s-domain where as Fourier transform yields it in oftenness domain. Laplace is more often use because in s-domian it is easier to analyze the performance of the system by looking at the poles and the range ins.The Laplace transform is usually use in the context of one-sided symptoms, i.e. signals that are zero for all values oftless than most value. Usually, this start time is set to zero, for convenience and without loss of generality, with the transform integral being taken from zero to infinity. The Fourier transform is used for analyzing systems that process signals that are infi nite in extent, such as modulated sinusoids. (LTI)The signal is compared both in frequency and time domain, before and after filtering. As seen in the graphs the amplitude of the signal after filtering is 1. The amplitude thus decreases from 2 to 1, showing 3dB attenuation. In frequency domain the higher frequency coefficients are zero. They cover almost half the total bandwidth. Thus the half band filter has do half of the coefficients zero with 3dB