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?
1. Determine if v(t) = t^2 (t-squared) is an even or odd function. Show your proof....
Figure 2.4 shows a block diagram that consists of Device A with a transfer function of Vo1(t) = 1 + vi(t)2 and a Band Pass Filter that has a cutoff frequency of 6 kHz and 12 kHz. The input signal to the device is a 8 V sinusoidal signal Amplitude 8V Vot(t) Band Pass Device A Vo2(t) Time Vo1(t) 1vi(t) Filter 0.2ms Input signal, vi(t) Fiqure 2.4 State the expression of the input signal, vi(t) given that the signal is...
4. Consider a sinusoidal voltage signal of the form: v(t)=10sin(2(pi)1000t) Determine: a. average value of v(t) b. maximum value of v(t) c. minimum value of v(t) d. RMS (root mean square) value of v(t) Now assume that this signal is driving a 25Ω load. Determine: e. average power dissipated in the load f. maximum instantaneous power dissipated in the load g. Minimum instantaneous power dissipated in the load Also, provide: h. Frequency in Hz i. Period, in ms j. frequency...
Q1) For the continuous time signal below, x(t)=1+t (a) Determine the even and odd parts of the signal. (b) Sketch the signal from t = -3 to t = 3. (c) Explain why the signal does not possess BIBO stability.
Fourier Series. Thank you in advance. Q 2(a) [6 Marks] (i) Sketch 3 successive cycles of the periodic function g(t):[4 marks) g() gt3). (ii) Is g(t)an even or odd function of? [2 marks] [14 Marks] (i) Show that the Fourier series coefficients of gl), as defined in part 2(a), may Q 2(b) [11 marks]: be written as follows 0, EVEN (ii) Obtain a value for the constant [3 marks] [5 Marks Q 2(c) What is the power, or mean-squared value,...
(2) x + 1 is even -> x^2 is odd (hint: use a direct proof) (a) (0.5 points) What are you assuming is true: (b) (0.5 points) What are you proving is true: (c) (1 point) Complete the proof:
1 x(t) is a continuous-time real sinal. Let (t) and (t) the even and the odd components of x(t) respectively, show the total energy E of x(t) is given by 2. In signal analysis, scaling and shifting of a function are quite common (a) Show that the functions r(t) and t to) have the same areas and energies in other words (b) Show that r(T)dr
(a) Determine algebraically whether the functions below are even, odd or neither. i. r+6 f(x)=- r-r? (2 marks) ii. f(x) = 2x sinx (2 marks) (b) A periodic function is defined by: f(x) = 4-x?, -25x52, f(x+4)= f(x) i. Sketch the graph of the function over -10<x<10. (4 marks) ii. Based on result in (i), identify whether the function is even or odd. Give your reason. (2 marks) ii. Calculate the Fourier series expansion of f(x). (12 marks) (c) An...
Using the given graph of the function t, find whether the function is even, odd, or neither O Even O Odd O Neither 2 1) Click to select your answer 0
signals and communications 2 Make sure you show all working and describe each step in your calculations. 1. A signum function is defined as sgn(t) = { 1、12 0 1 t<0 Plot and express this function in terms of the unit-step function. 5 marks/ Determine and plot the even and odd parts of the signal 2. x(t) (te-3 +2)u(t). 5 marks 3. If prove that y[n-m] = x[n-m] * h[n]. 5 marks 4. Assuming α > 0, plot the signal...