Question

In the study of Signal and System, it is important to understand the system characteristics such as linearity, time invariance, stability, causality and invariability. In this experiment, write a function that uses inputs x1[n]=3?[n] and x2[n]=7?[n] to determine if the system output Y[n]={tan (3(pi)n/11)}2 + sin(6(pi)n/21) + cos(7(pi)n/21){x[n] + 1} represents the output of a linear system.

Using MATLAB

Answer #1

SIGNALS AND SYSTEMS
Experiment 1
Signal Generation
Date: January 1-8, 2018
The purpose of this laboratory is to familiarize you with the
basic commands in MATLAB for signal generation and verify the
generated signal.
Objectives
1.Learn basic MATLAB commands and
syntax, including help system.
2.Use MATLAB ( from
Citrix) to generate and plot different
signals.
Assignments
Generate and plot the signal
x1(t) = 1+ sin
(4pt), for t
ranging from -1 to 1 in 0.001 increments. Use proper axes...

Assignments
Generate and plot the signal
x1(t) = 1+ sin
(4pt), for t
ranging from -1 to 1 in 0.001 increments. Use proper axes labels
with title.
Generate and plot the function
x2(t) = sin
(30pt), for t
ranging from -1 to 1 in 0.001 increments. Use proper axes labels
with title.
Generate and plot the combination function
x3(t) =
x1(t)*x2(t) as above. Use
proper axes labels with title.
Generate and plot the sum of
two cosine waves
v1(t) =...

documentclass{article}
\usepackage{array}
\usepackage{tabulary}
\usepackage{amsmath}
\begin{document}
C=capacitance of equivalent ckt.[7]
\begin{equation}
C=\dfrac{\epsilon_{ef}\epsilon_{o}L_{e}W}{2 h} F
\end{equation}
where\
\begin{center}
$F=\cos ^{ - 2} ({\pi}X_{f}/L)$
\end{center}
L=inductance of equivalent ckt.[7]
\begin{equation}
L=\frac{1}{({2\pi}f_{r})^{2}C}
\end{equation}\
$\Delta L$=additional series inductance
\begin{equation}
\Delta L=\frac{Z_{01}+Z_{02}}{16\pi{f_{r}}F} tan(\pi{f_{r}{L_{n}}}/C)
\end{equation}\
$Z_{01} and Z_{02}$ are the characteristics impedances of microstrip lines with width of
$w_{1} and w_{2}$ respectively.The values
\begin{equation}
Z_{01}=120\pi/(\frac{w_{1}}{h}+1.393+0.667\ln(\frac{w_{1}}{h}+1.444))
\end{equation}\
$$
Z_{02}=120\pi/(\frac{w_{2}}{h}+1.393+0.667\ln(\frac{w_{2}}{h}+1.444))
$$
\
where\
$$w_{1}=w-2{P_{s}}-W_{s}$$
\
and\
$$w_{2}=2{P_{s}}-W_{s}$$
The capacitance$\Delta C$ between center wing and side wing is calculated as...

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