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Question 29 1 pts Fourier series analysis is applied to: Non periodic functions Tangential functions Periodic...
Question 31 1 pts Fourier transform is used for Periodic functions Constant functions Non-periodic functions Unbounded...
Question 31 1 pts Fourier transform is used for Periodic functions Constant functions Non-periodic functions Unbounded functions Question 32 1 pts Fourier transform of the impulse function is: Infinity 1 Zero None of the above
1-Can we calculate the Fourier Transform for a function represented by Fourier Series? Elaborate. 2-What happens...
1-Can we calculate the Fourier Transform for a function represented by Fourier Series? Elaborate. 2-What happens if we sample with a frequency that is less than half the maximum frequency of the sampled signal? 3-Describe in your words what is Fourier Series and its relation to periodic signals. Mention whether it is a time domain or frequency domain representation
Question 27 1 pts Fourier transform of a rectangular pulse is a: Sine function Tan function...
Question 27 1 pts Fourier transform of a rectangular pulse is a: Sine function Tan function Sinc function Cosine function D Question 28 1 pts Every periodic function can be expressed as a linear combination of: Sine and cosine functions None of the above Logarithmic functions Sine functions
Question 33 1 pts Fourier transform of the impulse response of a system is: Same as...
Question 33 1 pts Fourier transform of the impulse response of a system is: Same as Laplace transform of the Impulse response Same as step response Same as the frequency response None of the above Question 34 1 pts The total energy of a signal can be calculated in time domain or the frequency domain. This is a result of: None of the above Parseval's theorem Laplace theorem Fourier theorem
Problem 3. The Fourier transform pairs of cosine and sine functions can be written as y(t)...
Problem 3. The Fourier transform pairs of cosine and sine functions can be written as y(t) = A cos 2nfot = Y(f) = 4 [86f - fo) +8(f + fo)], and y(t) = B sin 2nfot = Y(f) =-j} [8(f - fo) – 8(f + fo]. The FFT code is revised such that the resulting amplitudes in frequency domain should coincide with those in time domain after discarding the negative frequency portion of Fourier transform or the frequency domain after...
1. Using the Fourier series analysis Equation 3 for the periodic function r(t) shown in Figure 2....
1. Using the Fourier series analysis Equation 3 for the periodic function r(t) shown in Figure 2.1, determine both the DC coefficient ao and a general expression for the other Fourier series coefficients ak. Do this by hand, not in Matlab. Show all your work in your lab report. You can add these pages as hand-written pages, rather than typing them in to your lab report, if you prefer Hint 1: It will be easiest to integrate this function from...
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...
Question 11 pts x(t) is a time domain function. The laplace transform of x(t) is in...
Question 11 pts x(t) is a time domain function. The laplace transform of x(t) is in what domain: s domain none of the above f domain time domain Flag this Question Question 21 pts if X(s) is the Laplace transform of x(t), then 's' is a : real number integer complex number rational number Flag this Question Question 31 pts In a unilateral Laplace transform the integral, the start time is just after origin (0+) just before origin (0-) origin...
just ba and c please Date of Submission: (10 pts) The Fourier Transform of a non-periodic...
just ba and c please
Date of Submission: (10 pts) The Fourier Transform of a non-periodic rectangular pulse waveform fo having amplitude A and width t is given by V(f) AT (a) Consider a rectangular pulse waveform with amplitude A-20V and width τ 1 ms. Using (b) What is the value of spectrum at de? At what frequency does the first zero crossing occur? (c) Ifthe non-periodic waveform is multiplied by a sinusoid asM9cos2m×106, what will the Matlab, plot the...
(b) Let X(ju) denote the Fourier transform of the signal r(t) shown in the figure x(t) 2 -2 1 2 Using the properties of the Fourier transform (and without explicitly evaluating X(jw)), ii. (5 pts)...
(b) Let X(ju) denote the Fourier transform of the signal r(t) shown in the figure x(t) 2 -2 1 2 Using the properties of the Fourier transform (and without explicitly evaluating X(jw)), ii. (5 pts) Find2X(jw)dw. Hint: Apply the definition of the inverse Fourier transform formula, and you can also recall the time shift property for Fourier Transform. (c) (5 pts) Fourier Series. Consider the periodic signal r(t) below: 1 x(t) 1 -2 ·1/4 Transform r(t) into its Fourier Series...
Question 31 1 pts Fourier transform is used for Periodic functions Constant functions Non-periodic functions Unbounded functions Question 32 1 pts Fourier transform of the impulse function is: Infinity 1 Zero None of the above
Question 27 1 pts Fourier transform of a rectangular pulse is a: Sine function Tan function Sinc function Cosine function D Question 28 1 pts Every periodic function can be expressed as a linear combination of: Sine and cosine functions None of the above Logarithmic functions Sine functions
Question 33 1 pts Fourier transform of the impulse response of a system is: Same as Laplace transform of the Impulse response Same as step response Same as the frequency response None of the above Question 34 1 pts The total energy of a signal can be calculated in time domain or the frequency domain. This is a result of: None of the above Parseval's theorem Laplace theorem Fourier theorem
Problem 3. The Fourier transform pairs of cosine and sine functions can be written as y(t) = A cos 2nfot = Y(f) = 4 [86f - fo) +8(f + fo)], and y(t) = B sin 2nfot = Y(f) =-j} [8(f - fo) – 8(f + fo]. The FFT code is revised such that the resulting amplitudes in frequency domain should coincide with those in time domain after discarding the negative frequency portion of Fourier transform or the frequency domain after...
1. Using the Fourier series analysis Equation 3 for the periodic function r(t) shown in Figure 2.1, determine both the DC coefficient ao and a general expression for the other Fourier series coefficients ak. Do this by hand, not in Matlab. Show all your work in your lab report. You can add these pages as hand-written pages, rather than typing them in to your lab report, if you prefer Hint 1: It will be easiest to integrate this function from...
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...
just ba and c please
Date of Submission: (10 pts) The Fourier Transform of a non-periodic rectangular pulse waveform fo having amplitude A and width t is given by V(f) AT (a) Consider a rectangular pulse waveform with amplitude A-20V and width τ 1 ms. Using (b) What is the value of spectrum at de? At what frequency does the first zero crossing occur? (c) Ifthe non-periodic waveform is multiplied by a sinusoid asM9cos2m×106, what will the Matlab, plot the...
(b) Let X(ju) denote the Fourier transform of the signal r(t) shown in the figure x(t) 2 -2 1 2 Using the properties of the Fourier transform (and without explicitly evaluating X(jw)), ii. (5 pts) Find2X(jw)dw. Hint: Apply the definition of the inverse Fourier transform formula, and you can also recall the time shift property for Fourier Transform. (c) (5 pts) Fourier Series. Consider the periodic signal r(t) below: 1 x(t) 1 -2 ·1/4 Transform r(t) into its Fourier Series...
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