As per HomeworkLib policy we need to answer only the first four sub questions in case a list of questions are posted. Please upload remaining questions separately so that someone can answer. Please find below for the explanation... Thanks in advance for understanding...
The following periodic v(t) function will be used to answer: a. Determine the period T b....
(a) Determine the period, amplitude, and frequency of a signal given by, v(t) (120nt). Plot this signal both in the time-domain and frequency domain. (b) For the following square wave v(t), determine if it is a periodic signal, and if yes, what 10 V sin 4. [61 are its amplitude, period T and fundamental frequency f? Why do we need to convert this signal into sine/cosine wave for transmission? 2 o-oims (c) () According to Fourier Theorem, the above signal...
Q#4: (24 points) Given the function y-f(x) shown below: na f(r) -3 (a) Calculate the period of function, T and frequency, (2TT)/T (b) Calculate the Fourier Coefficients Ao. An, and Bn of the Fourier series expansion of function, y-f(x). Here n 1, 2, 3,... (integers) (c) Write the Fourier series approximation of function, yf(x), in terms of numbers, n & x only Q#4: (24 points) Given the function y-f(x) shown below: na f(r) -3 (a) Calculate the period of function,...
A periodic function ft) of period T-2 is defined as ft)-2t over the period (a) Sketch the function over the interval -3m<<3x. [3] (b) Find the cireular frequency a and the symmetry of the function (odd, even or neither). 21 (e) Determine the trigonometric Fourier coefficients for the function f) [10] (d) Write down its Fourier series for n=0, 1, 2, 3 where n is the harmonic number. [5] (e) Determine the Fourier series for the function g(t)-2r-1 over the...
In MATLAB plot the following: The function is periodic, with time period 2T=2, after t=2 the same sinusoidal components repeat in the same way as when 0 st < 2. The function its expanded from one time period 27, in terms of the sinusoidal components. All sinusoidal components have frequencies which are integral multiples of the fundamental frequency. 1 1 = = = 0.5Hz to = fo = cot I am cos(womt) + b, sin(wont) m=1 rad wo = 2nfo...
[16 marks] Provide concise answers and brief justification and reasoning (a) Determine the period of the function f(t) = n+|cos(t)(3+)sin(3tt) (b) Consider the 4-periodic function g(t) that is defined as g(t)=-(x-1)2+1 for te (0,2. Does an approximation of this function by a Fourier series converge faster for the odd or the even extension. (c) Consider the function h(t) cos2(t)+sin2 (t). Are the coefficients by of the Fourier series of this function equal to 0 for all n? (d) Consider the...
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...
1. Determine if v(t) = t^2 (t-squared) is an even or odd function. Show your proof. 2. Determine if v(t) = t^2 (t-squared) is an even or odd function. Show your proof. 3.A sinusoidal signal has a period of 10 ms. What is the angular frequency? 4.A sinusoidal signal has a period of 10 ms. What is the angular frequency?
Problem 2: A sinusoidal signal w(t) = 10cos(200nt) is sampled using a periodic impulse function s(t) = Ek=-08(t - kt), where the sampling period Tg = 1ms. a) Sketch the signal w(t) and its corresponding impulse-sampled function ws(t) = w(t)s(t) b) What is the sampling frequency fs of this signal? c) Write an expression for the spectrum W (f) and the spectrum of the sampled signal Ws(f). Sketch W, (f) and specify the coordinates of its frequency components.
dan.curgul&key=72CW8gayu (1 point) Suppose that f(t) is periodic with period -x, x) and has the following real Fourier coefficients: ao = 2, = -2, az = 3, az = 3, b, = 4, b2 = 4, bg =0, %3D ... (A) Write the beginning of the real Fourier series of f(t) (through frequency 3): f(t) (B) Give the real Fourier coefficients for the following functions: (1) The derivative f'(t) , a2 = ,as by by b1 %3D (ii) The function...
there are 4 questions in 1 here Find the Fourier Coefficients an for the periodic function f(x) So for – 4 < x < 0 f(x+8) = f(x) for 0 < x < 4 { Find the Fourier Coefficients bn for the periodic function f(x) = X for – 3 < x < 0 O for 0 < x <3 f(x+6) = f(x) Determine the half range sine series of f(x) = 1 - x 0 < x < TT,...