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Fundamental frequency of the descrete signal
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O KT Question 11 Consider a periodic discrete-time signal with period No = 12. The fundamental...
O True O False Question 14 1 pts Consider the periodic discrete-time signal a[k] with period...
O True O False Question 14 1 pts Consider the periodic discrete-time signal a[k] with period No =3. The discrete-time Fourier Series coefficients are computed and found to be Do = 0.5, D1 = + j, and D2 = 0.25j Which of the following is true? O D-1 = = 4 +j Dy = + j DA=0.5 OD 0.25j
A discrete-time periodic signal with fundamental period N0 = 6 has the values x[4] = 3,...
A discrete-time periodic signal with fundamental period N0 = 6 has the values x[4] = 3, x[9] = –2, x[–1] = 1, x[14] = 5, x[24] = -3, and x[7] = 9. Find the value of X[2]. The value of X[2] is of the form Aebj. The value of A is...….and B is ……...
2: (a) Consider a discrete-time sequence x[n] = cos(n+3). Find the fundamental period(N). (b) Consider the...
2: (a) Consider a discrete-time sequence x[n] = cos(n+3). Find the fundamental period(N). (b) Consider the sinusodal signal x(t) = 10 sin(21 Fot) with analog frequency F. Write an equa- tion for the discrete time signal n. (c) In part(b) if Fe = 400Hz and the sampling frequency F. = 4kHz, determine the fundamen- tal period of x[n].
Prob. 2 Discrete-Time Fourier Series (DTFs) (a) A periodic signal, rin] is shown below. Use the...
Prob. 2 Discrete-Time Fourier Series (DTFs) (a) A periodic signal, rin] is shown below. Use the analysis equation to determine the discrete-time Fourier Series (DTFS) coefficients, a. Express the a in terms of cosines [72] -2 N= -3 (b) Sketch the spectrum, as vs. k for -5Sk s5. Please note each value. ak 2 5 Prob. 2 (cont.) -Discrete-Time Fourier Series (CTFS) (c) A periodic signal rafnl is given below. a2In] 2 1 E -3 what is the fundamental period...
Consider the signal at right. a) Based on the plot, what is the fundamental period of this signal? b) From the fundamental period, compute the fundamental frequency in Hertz. c) This signal was compu...
Consider the signal at right. a) Based on the plot, what is the fundamental period of this signal? b) From the fundamental period, compute the fundamental frequency in Hertz. c) This signal was computed from the equation What is the fundamental circular frequency, oo? d) If this signal is passed through a first-order low- pass filter with corner frequency of 0.2 Hz, write an expression for the output of the filter. e) Plot the original signal and the filtered signal...
Solution required in MATLAB 1. Convolution and Discrete-Time Fourier Series (DTFS) (a) Generate a periodic signal r2[n]...
Solution required in MATLAB
1. Convolution and Discrete-Time Fourier Series (DTFS) (a) Generate a periodic signal r2[n] with the fundamental period N ralla-sin(2nn/ İ0) + sin(2m, 2 ) + sin(2nn/30) for 0 < n < N-1 Find the fundamental frequency Ω0-2, N, with the fundamental period N. (b) Generate a periodic signal h2[n] with the fundamental period N haln] = (1/2)", for 0 < n < N-1 (e) Using the com ftuction n Matab, compute the compvolution (d) Using the...
A discrete-time signal xin] is periodic with period 8. One period of its Discrete Fourier Transform...
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]}...
Consider an arbitrary periodic signal with a period of 2 seconds. Give the equation for the...
Consider an arbitrary periodic signal with a period of 2
seconds.
Give the equation for the infinite Fourier Series (Trigonometric
Form) for this signal.
where, the fundamental period/frequency is:
=2
sec and
=12 Hz
a)List the frequencies present in the analog (continuous-time)
signal.
b)Assume that the analog signal is sampled at 2 Hz. List the
digital frequencies present in the resulting digital signal.
c)What are the magnitudes of the sine and cosine terms
associated with each of these digital frequencies?...
Q4. For each signal, if it is periodic, find the fundamental period T. (in seconds) and...
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)
Consider the signal at right. a) Based on the plot, what is the fundamental period of...
Consider the signal at right. a) Based on the plot, what is the fundamental period of this signal? b) From the fundamental period, compute the fundamental frequency in Hertz. c) This signal was computed from the equation What is the fundamental circular frequency, oo? d) If this signal is passed through a first-order low- pass filter with corner frequency of 0.2 Hz, write an expression for the output of the filter. e) Plot the original signal and the filtered signal...
O True O False Question 14 1 pts Consider the periodic discrete-time signal a[k] with period No =3. The discrete-time Fourier Series coefficients are computed and found to be Do = 0.5, D1 = + j, and D2 = 0.25j Which of the following is true? O D-1 = = 4 +j Dy = + j DA=0.5 OD 0.25j
2: (a) Consider a discrete-time sequence x[n] = cos(n+3). Find the fundamental period(N). (b) Consider the sinusodal signal x(t) = 10 sin(21 Fot) with analog frequency F. Write an equa- tion for the discrete time signal n. (c) In part(b) if Fe = 400Hz and the sampling frequency F. = 4kHz, determine the fundamen- tal period of x[n].
Prob. 2 Discrete-Time Fourier Series (DTFs) (a) A periodic signal, rin] is shown below. Use the analysis equation to determine the discrete-time Fourier Series (DTFS) coefficients, a. Express the a in terms of cosines [72] -2 N= -3 (b) Sketch the spectrum, as vs. k for -5Sk s5. Please note each value. ak 2 5 Prob. 2 (cont.) -Discrete-Time Fourier Series (CTFS) (c) A periodic signal rafnl is given below. a2In] 2 1 E -3 what is the fundamental period...
Consider the signal at right. a) Based on the plot, what is the fundamental period of this signal? b) From the fundamental period, compute the fundamental frequency in Hertz. c) This signal was computed from the equation What is the fundamental circular frequency, oo? d) If this signal is passed through a first-order low- pass filter with corner frequency of 0.2 Hz, write an expression for the output of the filter. e) Plot the original signal and the filtered signal...
Solution required in MATLAB
1. Convolution and Discrete-Time Fourier Series (DTFS) (a) Generate a periodic signal r2[n] with the fundamental period N ralla-sin(2nn/ İ0) + sin(2m, 2 ) + sin(2nn/30) for 0 < n < N-1 Find the fundamental frequency Ω0-2, N, with the fundamental period N. (b) Generate a periodic signal h2[n] with the fundamental period N haln] = (1/2)", for 0 < n < N-1 (e) Using the com ftuction n Matab, compute the compvolution (d) Using the...
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]}...
Consider an arbitrary periodic signal with a period of 2
seconds.
Give the equation for the infinite Fourier Series (Trigonometric
Form) for this signal.
where, the fundamental period/frequency is:
=2
sec and
=12 Hz
a)List the frequencies present in the analog (continuous-time)
signal.
b)Assume that the analog signal is sampled at 2 Hz. List the
digital frequencies present in the resulting digital signal.
c)What are the magnitudes of the sine and cosine terms
associated with each of these digital frequencies?...
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)
Consider the signal at right. a) Based on the plot, what is the fundamental period of this signal? b) From the fundamental period, compute the fundamental frequency in Hertz. c) This signal was computed from the equation What is the fundamental circular frequency, oo? d) If this signal is passed through a first-order low- pass filter with corner frequency of 0.2 Hz, write an expression for the output of the filter. e) Plot the original signal and the filtered signal...
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