Hello everyone I have a lab for signal and systems course and I need a professio

Question

Hello everyone I have a lab for signal and systems course and I need a professional who can helps e on the lab because it need some explanation under each figures graphs function splane (num, den) function s plane E input coefficients of numerator (num) and denominator (den) in decreasing order output pole/zero plot use: splane (num, den) z-roots (num) p roots (den) A1 (min (imag (z)) min (imag (p)));Al-min (A1)-1; B1-[max (imag (z)) max (imag (p))];Bl max (B1) +1; N-20; D (abs (Al) +abs (Bl)) /N; im Al:D: B1; Na length (im); re zeros (1, Nq) A (min (real (z)) min (real (p) A min (A) -1; Ba [max (real (z)) max (real (p))J max (B) +1; stem (real (z), imag (z) o: hold on stem (real (p) ,imag (p), 'x:') hold on plot (re, im, 'k'):xlabel sigma ');ylabe l j omega) grid axis (CA 3 min (im) max (im)]) hold off Results:

Explanation / Answer

It shows the poles and zeros of the laplace transform of causal signal x(t)=e-t u(t) and of the causal decaying signal

y(t)=e-tcos(10t)u(t)

In the first graph, it shows the plot between real and imaginary part of zeros….if zeros are positive it lies in positive side….if zeros are negative, it lies in negative side….

In the second graph, it shows the plot between real and imaginary part of poles. The location of the poles in the s domain shows how the imaginary part of the poles gives the oscillation frequency. The real part of the poles gives the amount of damping present. When the real part is >= 0 the system becomes unstable. Here the poles locate in the imaginary part.

In the third graph, it shows the plot between real and imaginary part of S-plane. A system is characterized by its poles and zeros in the sense that they allow reconstruction of the input/output differential equation. In general, the poles and zeros of a transfer function may be complex, and the system dynamics may be represented graphically by plotting their locations on the complex s-plane, whose axes represent the real and imaginary parts of the complex variable s. Such plots are known as pole-zero plots. From the graph we can understand whether the system is stable or unstable. The graph shows that the system is in stable region.

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