It is signal below periodic or non periodic? if periodic find period value ( N value)? X(n) = cos (3π n)
It is signal below periodic or non periodic? if periodic find period value ( N value)?...
Q4. For each signal, if it is periodic, find the fundamental period T. (in seconds) and the fundamental frequency (in rad/s). Otherwise prove that the signal is not periodic. [1 + 1 - 2 marks) a) X(t) = cos(5t) + sin(25t) b)x() = sin 91 + + sin(61 - 7) + cos(391)
For this signal, find out if the signal is periodic, if it is,
specify the fundamental period (T seconds or N sample)
g(n) = cos(4N1/7) + 2 cos (17) + 5 cos (97), n € Z
please
3.59. (a) Suppose x[n] is a periodic signal with period N. Show that the Fourier series coefficients of the periodic signal are periodic with period N. (b) Suppose that x() is a periodic signal with period T and Fourier series coeffi cients a with period N. Show that there must exist a periodic sequence g[n] such that (c) Can a continuous periodic signal have periodic Fourier coefficients?
3.59. (a) Suppose x[n] is a periodic signal with period N. Show...
(50 pts) Determine whether each of the following signal is periodic. If the signal is periodic, find its fundamental period. (a) x(t) = 4, a constant signal. (b) x(t) = 28ej (400#t) (c) x[n] = 28ej(1007n) (d) x(t) = 10 sin(5t) - 4 cos(7t) (e) x[n] = 10 sin(5n) - 4 cos(7n) (f) r(t) = cos(Ft) sin(ft) (g) x(t) = teit (h) x[n] = e(m/v2) (1) x[n] = cos(km2) (Pay attention to the square) (j) x[n] = {X- 8[n -...
Exercise 4 Given the periodic discrete signal with period No = 10, defined by: x(n) = si for - 25 ns +2 lo for + 3 sn s +7 Show that cx = + cos(k!) + cos(k), k = 0,1...,9. a) Clearly show how you get to this result! b) Given that cos(") = }(V5+1), cos(9= :(V5 - 1), cos(9) = -(V5 – 1) and cos(99) = -(V5+1), calculate Co. MacBook Pro
3. For the periodic signal shown below, find the period T and
compute the main harmonics. For our purposes, “main” means having
at least 2% of the amplitude of the fundamental harmonic. Use
MATLAB to plot the signal for two periods. Also plot
approximations to the signal using finitely many harmonics..
For the periodic signal shown below, find the period T and compute the main harmonics. For our purposes, "main" means having at least 2% of the amplitude of the...
A periodic discrete-time signal r[n] has the following samples over one period: Because l is periodic, it can be expressed as a Fourier series (DTPS) (a) What is the period N of the signal n)? (b) The value of ao is known to be a-0. Given this information, what is the value of 3]? Explain how you got this result. Answers without explanation receive 0 credit
I) The following signal xcn is periodic th Period NFind the Fourier Series coefficients of the Signal nJ, cos (AT n+2)
A discrete-time signal xin] is periodic with period 8. One period of its Discrete Fourier Transform (DFT) harmonic function is (X[0], X[7]} = [3,4 + j5,-4 -j3,1+ j5,-4,1 j5,-4 + j3, 4 - j5). Solve the following: Average value of x[n] (i) [3 marks] Signal power ofx[n]. (ii) [5 marks] [n] even, odd or neither (iii) [3 marks]
A discrete-time signal xin] is periodic with period 8. One period of its Discrete Fourier Transform (DFT) harmonic function is (X[0], X[7]}...
1. Determine whether or not each of the following signals is periodic. In case a signal is periodic, specify its period. sin(411t n+2) • cos? (in) . Can we use the formula, f = min ( - 14|1 - 4 + l{\), to find the period of sin(fnt n) or cos(2ft n)?