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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)?...
How do you find the period of a periodic signal?? X[n] = cos (8/15pi n)
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...
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)
Is this signal periodic? If yes, find the fundamental period?
8.9 Discrete time period signalDetermine whether the following discrete time sinusoids are periodic or not. If periodic, determonine its periodic N0X[n]= 2 cos )pi*n - pi/2)Y[n]= sin(n-pi/2)z[n]= x[n]+y[n]v[n]= sin(3*pi*n/2)
A discrete-time signal xin] is periodic with period 8. One period of its Discrete Fourier Transform (DFT) harmonic function is (X, X} = [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, X}...
Determine if the follwoing discrete-time signal isperiodic.If the signal is periodic, determine itsfundamental period:x[n]=cos[(π/2)n]cos[(π/4)n]
What is the coefficient of the 6th harmonic for periodic signal x(t) with period To = 4 xlt cos(6nt) + 3cos(417t + 1 2 o 1 4 1
Problem (3) a) A periodic square wave signal x(t) is shown below, it is required to answer the below questions: x(t) 1. What is the period and the duration of such a signal? 2. Determine the fundamental frequency. 3. Calculate the Trigonometric Fourier Series and sketch the amplitude spectrum and phase spectrum of the signal x(t) for the first 5 harmonics. b) Find the Continuous Time Fourier Series (CTFS) and Continuous Time Fourier Transform (CTFT) of the following periodic signals...
8.3 Peridicity and sample signal Mat LabConsider an analog periodic sinusoid x(t)=cos (3*pi*t +pi/4) being sampled using a sampling period Ts to obtain a discrete time signal x(n)=x(t)|t=nTs =cos(3*oi*Ts*n+pi/4). Choose a value of Ts for which the discrete time signal is x(n) is not periodic with the appropiate lengh and Plot with Matlab, and explain underwhat conditions Ts makes the x(n) periodic.