Question

1. You are given the following Matlab codes. fs = 1000; N = 1000; f = 10; t = (1:N)/fs; x = 10sin(2pift); % Sampling frequency % Number of points % Frequency of sine wave % Generate time vector % Generate sine wave a. What is the sample interval with unit? (Ts = ) b. What is the period of the generated sine wave x with unit? (T = ) c. What is the length of the vector t? ( ), mean(t) = ( ) d. Use Matlab 'mean' and 'sqrt', numerically calculate RMS value of given sinusoidal signal x. Hint: xsquare =x.^2 in Matlab. List only additional statements to above 5 statements and answer only. Do not attach extra pages. Ans= e. Calculate analytically RMS value of the sine wave x. Hint: cos(2?) =1 - 2 *sin²(?) and RMS definition. Hint: >> Matlab 'syms', 'int' to verify your answer. $\left[\frac{1}{T}\int_0^T x(t)^2 dt\right]^{1/2}$ Code: Ans =

          1. You are given the following Matlab codes.
fs = 1000;
N = 1000;
f = 10;
t = (1:N)/fs;
x = 10*sin(2*pi*f*t);
% Sampling frequency
% Number of points
% Frequency of sine wave
% Generate time vector
% Generate sine wave
a. What is the sample interval with unit? (Ts = )
b. What is the period of the generated sine wave x with unit? (T = )
c. What is the length of the vector t? ( ), mean(t) = ( )
d. Use Matlab 'mean' and 'sqrt', numerically calculate RMS value of given sinusoidal signal x. Hint:
xsquare =x.^2 in Matlab. List only additional statements to above 5 statements and answer only.
Do not attach extra pages.
Ans=
e. Calculate analytically RMS value of the sine wave x. Hint: cos(2?) =1 - 2 *sin²(?) and RMS
definition. Hint: >> Matlab 'syms', 'int' to verify your answer.
$\left[\frac{1}{T}\int_0^T x(t)^2 dt\right]^{1/2}$
Code:
Ans =

1. You are given the following Matlab codes.
fs = 1000;
N = 1000;
f = 10;
t = (1:N)/fs;
x = 10*sin(2*pi*f*t);
% Sampling frequency
% Number of points
% Frequency of sine wave
% Generate time vector
% Generate sine wave
a. What is the sample interval with unit? (Ts = )
b. What is the period of the generated sine wave x with unit? (T = )
c. What is the length of the vector t? ( ), mean(t) = ( )
d. Use Matlab 'mean' and 'sqrt', numerically calculate RMS value of given sinusoidal signal x. Hint:
xsquare =x.^2 in Matlab. List only additional statements to above 5 statements and answer only.
Do not attach extra pages.
Ans=
e. Calculate analytically RMS value of the sine wave x. Hint: cos(2?) =1 - 2 *sin²(?) and RMS
definition. Hint: >> Matlab 'syms', 'int' to verify your answer.
[(1)/(T)∫0^T x(t)^2 dt]^1/2
Code:
Ans =

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